# Properties of Matter · Physics · JEE Main

Start Practice## MCQ (Single Correct Answer)

JEE Main 2024 (Online) 9th April Evening Shift

The excess pressure inside a soap bubble is thrice the excess pressure inside a second soap bubble. The ratio between the volume of the first and the ...

JEE Main 2024 (Online) 9th April Evening Shift

A spherical ball of radius $$1 \times 10^{-4} \mathrm{~m}$$ and density $$10^5 \mathrm{~kg} / \mathrm{m}^3$$ falls freely under gravity through a dist...

JEE Main 2024 (Online) 9th April Morning Shift

A sphere of relative density $$\sigma$$ and diameter $$D$$ has concentric cavity of diameter $$d$$. The ratio of $$\frac{D}{d}$$, if it just floats on...

JEE Main 2024 (Online) 8th April Evening Shift

A cube of ice floats partly in water and partly in kerosene oil. The ratio of volume of ice immersed in water to that in kerosene oil (specific gravit...

JEE Main 2024 (Online) 8th April Morning Shift

Young's modulus is determined by the equation given by $$\mathrm{Y}=49000 \frac{\mathrm{m}}{\mathrm{l}} \frac{\mathrm{dyne}}{\mathrm{cm}^2}$$ where $$...

JEE Main 2024 (Online) 8th April Morning Shift

Correct Bernoulli's equation is (symbols have their usual meaning) :

JEE Main 2024 (Online) 6th April Evening Shift

Pressure inside a soap bubble is greater than the pressure outside by an amount : (given : $$\mathrm{R}=$$ Radius of bubble, $$\mathrm{S}=$$ Surface t...

JEE Main 2024 (Online) 6th April Morning Shift

A small ball of mass $$m$$ and density $$\rho$$ is dropped in a viscous liquid of density $$\rho_0$$. After sometime, the ball falls with constant vel...

JEE Main 2024 (Online) 5th April Evening Shift

Match List I with List II :
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JEE Main 2024 (Online) 5th April Morning Shift

Given below are two statements :
Statement I : When a capillary tube is dipped into a liquid, the liquid neither rises nor falls in the capillary. The...

JEE Main 2024 (Online) 4th April Evening Shift

Given below are two statements :
Statement I : The contact angle between a solid and a liquid is a property of the material of the solid and liquid as...

JEE Main 2024 (Online) 4th April Morning Shift

Given below are two statements :
Statement I : When speed of liquid is zero everywhere, pressure difference at any two points depends on equation $$\m...

JEE Main 2024 (Online) 1st February Evening Shift

A big drop is formed by coalescing 1000 small droplets of water. The surface energy will become :

JEE Main 2024 (Online) 1st February Morning Shift

With rise in temperature, the Young's modulus of elasticity :

JEE Main 2024 (Online) 31st January Evening Shift

A small spherical ball of radius $$r$$, falling through a viscous medium of negligible density has terminal velocity '$$v$$'. Another ball of the same...

JEE Main 2024 (Online) 31st January Morning Shift

A small steel ball is dropped into a long cylinder containing glycerine. Which one of the following is the correct representation of the velocity time...

JEE Main 2024 (Online) 30th January Morning Shift

Young's modules of material of a wire of length '$$L$$' and cross-sectional area $$A$$ is $$Y$$. If the length of the wire is doubled and cross-sectio...

JEE Main 2024 (Online) 29th January Evening Shift

A small liquid drop of radius $$R$$ is divided into 27 identical liquid drops. If the surface tension is $$T$$, then the work done in the process will...

JEE Main 2024 (Online) 29th January Evening Shift

A wire of length $$L$$ and radius $$r$$ is clamped at one end. If its other end is pulled by a force $$F$$, its length increases by $$l$$. If the radi...

JEE Main 2024 (Online) 29th January Morning Shift

Given below are two statements:
Statement I : If a capillary tube is immersed first in cold water and then in hot water, the height of capillary rise ...

JEE Main 2024 (Online) 27th January Evening Shift

Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R).
Assertion (A) : The property of body, by vi...

JEE Main 2024 (Online) 27th January Morning Shift

Given below are two statements :
Statement (I) :Viscosity of gases is greater than that of liquids.
Statement (II) : Surface tension of a liquid decre...

JEE Main 2023 (Online) 15th April Morning Shift

A wire of length ' $L$ ' and radius ' $r$ ' is clamped rigidly at one end. When the other end of the wire is pulled by a force $f$, its length increas...

JEE Main 2023 (Online) 13th April Evening Shift

Given below are two statements: one is labelled as Assertion $$\mathbf{A}$$ and the other is labelled as Reason $$\mathbf{R}$$
Assertion A : A spheric...

JEE Main 2023 (Online) 13th April Morning Shift

The figure shows a liquid of given density flowing steadily in horizontal tube of varying cross - section. Cross sectional areas at $$\mathrm{A}$$ is...

JEE Main 2023 (Online) 13th April Morning Shift

Under isothermal condition, the pressure of a gas is given by $$\mathrm{P}=a \mathrm{~V}^{-3}$$, where $$a$$ is a constant and $$\mathrm{V}$$ is the v...

JEE Main 2023 (Online) 12th April Morning Shift

A body cools from $$80^{\circ} \mathrm{C}$$ to $$60^{\circ} \mathrm{C}$$ in 5 minutes. The temperature of the surrounding is $$20^{\circ} \mathrm{C}$$...

JEE Main 2023 (Online) 11th April Evening Shift

Eight equal drops of water are falling through air with a steady speed of $$10 \mathrm{~cm} / \mathrm{s}$$. If the drops coalesce, the new velocity is...

JEE Main 2023 (Online) 10th April Evening Shift

Young's moduli of the material of wires A and B are in the ratio of $$1: 4$$, while its area of cross sections are in the ratio of $$1: 3$$. If the sa...

JEE Main 2023 (Online) 10th April Morning Shift

Given below are two statements:
Statement I : Pressure in a reservoir of water is same at all points at the same level of water.
Statement II : The pr...

JEE Main 2023 (Online) 8th April Evening Shift

A hydraulic automobile lift is designed to lift vehicles of mass $$5000 \mathrm{~kg}$$. The area of cross section of the cylinder carrying the load is...

JEE Main 2023 (Online) 8th April Morning Shift

An air bubble of volume $$1 \mathrm{~cm}^{3}$$ rises from the bottom of a lake $$40 \mathrm{~m}$$ deep to the surface at a temperature of $$12^{\circ}...

JEE Main 2023 (Online) 8th April Morning Shift

An aluminium rod with Young's modulus $$Y=7.0 \times 10^{10} \mathrm{~N} / \mathrm{m}^{2}$$ undergoes elastic strain of $$0.04 \%$$. The energy per un...

JEE Main 2023 (Online) 6th April Evening Shift

Given below are two statements: one is labelled as Assertion $$\mathbf{A}$$ and the other is labelled as Reason $$\mathbf{R}$$
Assertion A: When you s...

JEE Main 2023 (Online) 6th April Morning Shift

A small ball of mass $$\mathrm{M}$$ and density $$\rho$$ is dropped in a viscous liquid of density $$\rho_{0}$$. After some time, the ball falls with ...

JEE Main 2023 (Online) 1st February Evening Shift

The Young's modulus of a steel wire of length $$6 \mathrm{~m}$$ and cross-sectional area $$3 \mathrm{~mm}^{2}$$, is $$2 \times 10^{11}~\mathrm{N} / \m...

JEE Main 2023 (Online) 1st February Morning Shift

The average kinetic energy of a molecule of the gas is

JEE Main 2023 (Online) 1st February Morning Shift

A mercury drop of radius $$10^{-3}~\mathrm{m}$$ is broken into 125 equal size droplets. Surface tension of mercury is $$0.45~\mathrm{Nm}^{-1}$$. The g...

JEE Main 2023 (Online) 31st January Evening Shift

For a solid rod, the Young's modulus of elasticity is $3.2 \times 10^{11} \mathrm{Nm}^{-2}$ and density is $8 \times 10^3 \mathrm{~kg} \mathrm{~m}^{-3...

JEE Main 2023 (Online) 31st January Evening Shift

Under the same load, wire A having length $5.0 \mathrm{~m}$ and cross section $2.5 \times 10^{-5} \mathrm{~m}^{2}$ stretches
uniformly by the same am...

JEE Main 2023 (Online) 31st January Morning Shift

If 1000 droplets of water of surface tension $$0.07 \mathrm{~N} / \mathrm{m}$$, having same radius $$1 \mathrm{~mm}$$ each, combine to from a single d...

JEE Main 2023 (Online) 30th January Evening Shift

A force is applied to a steel wire 'A', rigidly clamped at one end. As a result elongation in the wire is $0.2 \mathrm{~mm}$. If same force is applied...

JEE Main 2023 (Online) 30th January Morning Shift

The height of liquid column raised in a capillary tube of certain radius when dipped in liquid A vertically is, $$5 \mathrm{~cm}$$. If the tube is dip...

JEE Main 2023 (Online) 30th January Morning Shift

Choose the correct relationship between Poisson ratio $$(\sigma)$$, bulk modulus (K) and modulus of rigidity $$(\eta)$$ of a given solid object :...

JEE Main 2023 (Online) 29th January Evening Shift

A fully loaded boeing aircraft has a mass of $$5.4\times10^5$$ kg. Its total wing area is 500 m$$^2$$. It is in level flight with a speed of 1080 km/...

JEE Main 2023 (Online) 29th January Morning Shift

Surface tension of a soap bubble is $$2.0 \times 10^{-2} \mathrm{Nm}^{-1}$$. Work done to increase the radius of soap bubble from $$3.5 \mathrm{~cm}$$...

JEE Main 2023 (Online) 29th January Morning Shift

A bicycle tyre is filled with air having pressure of $$270 ~\mathrm{kPa}$$ at $$27^{\circ} \mathrm{C}$$. The approximate pressure of the air in the ty...

JEE Main 2023 (Online) 25th January Morning Shift

Match List I with List II
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JEE Main 2023 (Online) 25th January Morning Shift

A bowl filled with very hot soup cools from 98$$^\circ$$C to 86$$^\circ$$C in 2 minutes when the room temperature is 22$$^\circ$$C. How long it will t...

JEE Main 2023 (Online) 24th January Evening Shift

Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R
Assertion A : Steel is used in the construction o...

JEE Main 2023 (Online) 24th January Evening Shift

The frequency ($$\nu$$) of an oscillating liquid drop may depend upon radius ($$r$$) of the drop, density ($$\rho$$) of liquid and the surface tension...

JEE Main 2023 (Online) 24th January Morning Shift

A 100 m long wire having cross-sectional area $$\mathrm{6.25\times10^{-4}~m^2}$$ and Young's modulus is $$\mathrm{10^{10}~Nm^{-2}}$$ is subjected to a...

JEE Main 2022 (Online) 29th July Morning Shift

Given below are two statements : One is labelled as Assertion (A) and the other is labelled as Reason (R).
Assertion (A): Clothes containing oil or gr...

JEE Main 2022 (Online) 29th July Morning Shift

If the length of a wire is made double and radius is halved of its respective values. Then, the Young's modulus of the material of the wire will :...

JEE Main 2022 (Online) 28th July Evening Shift

A pressure-pump has a horizontal tube of cross sectional area $$10 \mathrm{~cm}^{2}$$ for the outflow of water at a speed of $$20 \mathrm{~m} / \mathr...

JEE Main 2022 (Online) 28th July Evening Shift

Consider a cylindrical tank of radius $$1 \mathrm{~m}$$ is filled with water. The top surface of water is at $$15 \mathrm{~m}$$ from the bottom of the...

JEE Main 2022 (Online) 28th July Morning Shift

A balloon has mass of $$10 \mathrm{~g}$$ in air. The air escapes from the balloon at a uniform rate with velocity $$4.5 \mathrm{~cm} / \mathrm{s}$$. I...

JEE Main 2022 (Online) 28th July Morning Shift

The force required to stretch a wire of cross-section $$1 \mathrm{~cm}^{2}$$ to double its length will be : (Given Yong's modulus of the wire $$=2 \ti...

JEE Main 2022 (Online) 27th July Evening Shift

A steel wire of length $$3.2 \mathrm{~m}\left(\mathrm{Y}_{\mathrm{s}}=2.0 \times 10^{11} \,\mathrm{Nm}^{-2}\right)$$ and a copper wire of length $$4.4...

JEE Main 2022 (Online) 27th July Morning Shift

Two cylindrical vessels of equal cross-sectional area $$16 \mathrm{~cm}^{2}$$ contain water upto heights $$100 \mathrm{~cm}$$ and $$150 \mathrm{~cm}$$...

JEE Main 2022 (Online) 26th July Evening Shift

The area of cross section of the rope used to lift a load by a crane is $$2.5 \times 10^{-4} \mathrm{~m}^{2}$$. The maximum lifting capacity of the cr...

JEE Main 2022 (Online) 26th July Morning Shift

A water drop of radius $$1 \mathrm{~cm}$$ is broken into 729 equal droplets. If surface tension of water is 75 dyne/ $$\mathrm{cm}$$, then the gain in...

JEE Main 2022 (Online) 25th July Evening Shift

A drop of liquid of density $$\rho$$ is floating half immersed in a liquid of density $${\sigma}$$ and surface tension $$7.5 \times 10^{-4}$$ Ncm$$-$$...

JEE Main 2022 (Online) 30th June Morning Shift

An air bubble of negligible weight having radius r rises steadily through a solution of density $$\sigma$$ at speed v. The coefficient of viscosity of...

JEE Main 2022 (Online) 29th June Morning Shift

A wire of length L is hanging from a fixed support. The length changes to L1 and L2 when masses 1 kg and 2 kg are suspended respectively from its free...

JEE Main 2022 (Online) 29th June Morning Shift

A block of metal weighing 2 kg is resting on a frictionless plane (as shown in figure). It is struck by a jet releasing water at a rate of 1 kgs$$-$$1...

JEE Main 2022 (Online) 28th June Evening Shift

A water drop of radius 1 $$\mu$$m falls in a situation where the effect of buoyant force is negligible. Co-efficient of viscosity of air is 1.8 $$\tim...

JEE Main 2022 (Online) 28th June Morning Shift

Given below are two statements : One is labelled as Assertion A and the other is labelled as Reason R.
Assertion A : Product of Pressure (P) and time ...

JEE Main 2022 (Online) 28th June Morning Shift

A water drop of diameter 2 cm is broken into 64 equal droplets. The surface tension of water is 0.075 N/m. In this process the gain in surface energy ...

JEE Main 2022 (Online) 27th June Evening Shift

When a ball is dropped into a lake from a height 4.9 m above the water level, it hits the water with a velocity v and then sinks to the bottom with th...

JEE Main 2022 (Online) 27th June Morning Shift

The velocity of a small ball of mass 'm' and density d1, when dropped in a container filled with glycerin, becomes constant after some time. If the de...

JEE Main 2022 (Online) 26th June Evening Shift

If p is the density and $$\eta$$ is coefficient of viscosity of fluid which flows with a speed v in the pipe of diameter d, the correct formula for Re...

JEE Main 2022 (Online) 25th June Morning Shift

The terminal velocity (vt) of the spherical rain drop depends on the radius (r) of the spherical rain drop as :

JEE Main 2022 (Online) 24th June Evening Shift

Potential energy as a function of r is given by $$U = {A \over {{r^{10}}}} - {B \over {{r^5}}}$$, where r is the interatomic distance, A and B are pos...

JEE Main 2022 (Online) 24th June Morning Shift

The bulk modulus of a liquid is 3 $$\times$$ 1010 Nm$$-$$2. The pressure required to reduce the volume of liquid by 2% is :...

JEE Main 2021 (Online) 31st August Evening Shift

Four identical hollow cylindrical columns of mild steel support a big structure of mass 50 $$\times$$ 103 kg. The inner and outer radii of each column...

JEE Main 2021 (Online) 31st August Morning Shift

A uniform heavy rod of weight 10 kg ms$$-$$2, cross-sectional area 100 cm2 and length 20 cm is hanging from a fixed support. Young modulus of the mate...

JEE Main 2021 (Online) 27th August Morning Shift

In Millikan's oil drop experiment, what is viscous force acting on an uncharged drop of radius 2.0 $$\times$$ 10$$-$$5 m and density 1.2 $$\times$$ 10...

JEE Main 2021 (Online) 26th August Evening Shift

Two blocks of masses 3 kg and 5 kg are connected by a metal wire going over a smooth pulley. The breaking stress of the metal is $${{24} \over \pi } \...

JEE Main 2021 (Online) 26th August Morning Shift

Two narrow bores of diameter 5.0 mm and 8.0 mm are joined together to form a U-shaped tube open at both ends. If this U-tube contains water, what is t...

JEE Main 2021 (Online) 27th July Evening Shift

A raindrop with radius R = 0.2 mm falls from a cloud at a height h = 2000 m above the ground. Assume that the drop is spherical throughout its fall an...

JEE Main 2021 (Online) 27th July Morning Shift

A light cylindrical vessel is kept on a horizontal surface. Area of base is A. A hole of cross-sectional area 'a' is made just at its bottom side. The...

JEE Main 2021 (Online) 27th July Morning Shift

A body takes 4 min. to cool from 61$$^\circ$$ C to 59$$^\circ$$ C. If the temperature of the surroundings is 30$$^\circ$$ C, the time taken by the bod...

JEE Main 2021 (Online) 25th July Evening Shift

Two spherical soap bubbles of radii r1 and r2 in vacuum combine under isothermal conditions. The resulting bubble has a radius equal to :...

JEE Main 2021 (Online) 25th July Morning Shift

Two wires of same length and radius are joined end to end and loaded. The Young's modulii of the materials of the two wires are Y1 and Y2. The combina...

JEE Main 2021 (Online) 20th July Evening Shift

The length of a metal wire is l1, when the tension in it is T1 and is l2 when the tension is T2. The natural length of the wire is :...

JEE Main 2021 (Online) 20th July Evening Shift

Two small drops of mercury each of radius R coalesce to form a single large drop. The ratio of total surface energy before and after the change is :

JEE Main 2021 (Online) 20th July Morning Shift

The value of tension in a long thin metal wire has been changed from T1 to T2. The lengths of the metal wire at two different values of tension T1 and...

JEE Main 2021 (Online) 17th March Evening Shift

An object is located at 2 km beneath the surface of the water. If the fractional compression $${{\Delta V} \over V}$$ is 1.36%, the ratio of hydraulic...

JEE Main 2021 (Online) 17th March Morning Shift

When two soap bubbles of radii a and b (b > a) coalesce, the radius of curvature of common surface is :

JEE Main 2021 (Online) 16th March Evening Shift

What will be the nature of flow of water from a circular tap, when its flow rate increased from 0.18 L/min to 0.48 L/min? The radius of the tap and vi...

JEE Main 2021 (Online) 16th March Morning Shift

The pressure acting on a submarine is 3 $$\times$$ 105 Pa at a certain depth. If the depth is doubled, the percentage increase in the pressure acting ...

JEE Main 2021 (Online) 26th February Evening Shift

The length of metallic wire is l1 when tension in it is T1. It is l2 when the tension is T2. The original length of the wire will be :...

JEE Main 2021 (Online) 26th February Morning Shift

A large number of water drops, each of radius r, combine to have a drop of radius R. If the surface tension is T and mechanical equivalent of heat is ...

JEE Main 2021 (Online) 26th February Morning Shift

The normal density of a material is $$\rho$$ and its bulk modulus of elasticity is K. The magnitude of increase in density of material, when a pressur...

JEE Main 2021 (Online) 24th February Morning Shift

If Y, K and $$\eta $$ are the values of Young's modulus, bulk modulus and modulus of rigidity of any material respectively. Choose the correct relatio...

JEE Main 2020 (Online) 6th September Evening Slot

A fluid is flowing through a horizontal pipe of varying cross-section, with speed v ms–1 at a point
where the pressure is P pascal. At another point w...

JEE Main 2020 (Online) 6th September Morning Slot

An object of mass m is suspended at the end of a massless wire of length L and area of crosssection A. Young modulus of the material of the wire is Y....

JEE Main 2020 (Online) 5th September Evening Slot

In an experiment to verify Stokes law, a small
spherical ball of radius r and density $$\rho $$ falls
under gravity through a distance h in air before...

JEE Main 2020 (Online) 5th September Morning Slot

A hollow spherical shell at outer radius R floats
just submerged under the water surface. The
inner radius of the shell is r. If the specific
gravity ...

JEE Main 2020 (Online) 4th September Evening Slot

A cube of metal is subjected to a hydrostatic pressure of 4 GPa. The percentage change in the
length of the side of the cube is close to :
(Given bulk...

JEE Main 2020 (Online) 4th September Evening Slot

Two identical cylindrical vessels are kept on the ground and each contain the same liquid of density
d. The area of the base of both vessels is S but ...

JEE Main 2020 (Online) 4th September Morning Slot

A air bubble of radius 1 cm in water has an upward acceleration 9.8 cm s–2. The density of water is
1 gm cm–3 and water offers negligible drag force o...

JEE Main 2020 (Online) 3rd September Evening Slot

A metallic sphere cools from 50oC to 40o in 300 s. If atmospheric temperature around is 20oC,
then the sphere’s temperature after the next 5 minutes w...

JEE Main 2020 (Online) 3rd September Morning Slot

Pressure inside two soap bubbles are 1.01 and 1.02 atmosphere, respectively. The ratio of their
volumes is :

JEE Main 2020 (Online) 2nd September Evening Slot

A capillary tube made of glass of radius 0.15
mm is dipped vertically in a beaker filled with
methylene iodide (surface tension = 0.05 Nm–1,
density =...

JEE Main 2020 (Online) 2nd September Morning Slot

A cylindrical vessel containing a liquid is
rotated about its axis so that the liquid rises at
its sides as shown in the figure. The radius of
vessel ...

JEE Main 2020 (Online) 9th January Evening Slot

A small spherical droplet of density d is floating
exactly half immersed in a liquid of density $$\rho $$
and surface tension T. The radius of the dro...

JEE Main 2020 (Online) 9th January Evening Slot

Two steel wires having same length are
suspended from a ceiling under the same load.
If the ratio of their energy stored per unit
volume is 1 : 4, the...

JEE Main 2020 (Online) 9th January Morning Slot

Water flows in a horizontal tube (see figure).
The pressure of water changes by 700 Nm–2
between A and B where the area of cross section
are 40 cm2 an...

JEE Main 2020 (Online) 8th January Evening Slot

Two liquids of densities $${\rho _1}$$ an $${\rho _2}$$ ($${\rho _2}$$ = 2$${\rho _1}$$) are
filled up behind a square wall of side 10 m as
shown in f...

JEE Main 2020 (Online) 8th January Morning Slot

Consider a solid sphere of radius R and mass
density $$\rho \left( r \right) = {\rho _0}\left( {1 - {{{r^2}} \over {{R^2}}}} \right)$$ , $$0 < r \l...

JEE Main 2020 (Online) 8th January Morning Slot

A leak proof cylinder of length 1m, made of
a metal which has very low coefficient of
expansion is floating vertically in water at 0°C
such that its h...

JEE Main 2020 (Online) 7th January Evening Slot

An ideal fluid flows (laminar flow) through a pipe of non-uniform diameter. The maximum and
minimum diameters of the pipes are 6.4 cm and 4.8 cm, resp...

JEE Main 2019 (Online) 12th April Evening Slot

A solid sphere, of radius R acquires a terminal velocity v1 when falling (due to gravity) through a viscous
fluid having a coefficient of viscosity . ...

JEE Main 2019 (Online) 12th April Evening Slot

The number density of molecules of a gas depends on their distance r from the origin as, $$n\left( r \right) = {n_0}{e^{ - \alpha {r^4}}}$$.
Then the ...

JEE Main 2019 (Online) 12th April Evening Slot

A uniform cylindrical rod of length L and radius r, is made from a material whose Young’s modulus of
Elasticity equals Y. When this rod is heated by t...

JEE Main 2019 (Online) 10th April Evening Slot

Water from a tap emerges vertically downwards with an initial speed of 1.0 ms–1
. The cross-sectional area of
the tap is 10–4 m2. Assume that the pres...

JEE Main 2019 (Online) 10th April Evening Slot

A submarine experiences a pressure of 5.05 × 106
Pa at a depth of d1 in a sea. When it goes further to a depth
of d2, it experiences a pressure of 8....

JEE Main 2019 (Online) 10th April Evening Slot

In an experiment, brass and steel wires of length 1 m each with areas of cross section 1mm2
are used. The
wires are connected in series and one end o...

JEE Main 2019 (Online) 10th April Evening Slot

A cubical block of side 0.5 m floats on water with 30% of its volume under water. What is the maximum
weight that can be put on the block without full...

JEE Main 2019 (Online) 10th April Evening Slot

The elastic limit of brass is 379 MPa. What should be the minimum diameter of a brass rod if it is to support
a 400 N load without exceeding its elast...

JEE Main 2019 (Online) 10th April Morning Slot

The ratio of surface tensions of mercury and
water is given to be 7.5 while the ratio of thier
densities is 13.6. Their contact angles, with
glass, ar...

JEE Main 2019 (Online) 9th April Evening Slot

A wooden block floating in a bucket of water
has 4/5 of its volume submerged. When certain
amount of an oil is poured into the bucket, it
is found tha...

JEE Main 2019 (Online) 9th April Morning Slot

A simple pendulum oscillating in air has period
T. The bob of the pendulum is completely
immersed in a non-viscous liquid. The density
of the liquid i...

JEE Main 2019 (Online) 9th April Morning Slot

If 'M' is the mass of water that rises in a capillary
tube of radius 'r', then mass of water which will
rise in a capillary tube of radius '2r' is :

JEE Main 2019 (Online) 8th April Evening Slot

Young's moduli of two wires A and B are in the
ratio 7 : 4. Wire A is 2 m long and has radius R.
Wire B is 1.5 m long and has radius 2 mm. If
the two ...

JEE Main 2019 (Online) 8th April Morning Slot

A boy's catapult is made of rubber cord which
is 42 cm long, with 6 mm diameter of
cross-section and of negligible mass. The boy
keeps a stone weighin...

JEE Main 2019 (Online) 8th April Morning Slot

Water from a pipe is coming at a rate of
100 litres per minute. If the radius of the pipe
is 5 cm, the Reynolds number for the flow is
of the order of...

JEE Main 2019 (Online) 8th April Morning Slot

A steel wire having a radius of 2.0 mm,
carrying a load of 4 kg, is hanging from a
ceiling. Given that g = 3.1 p ms–2, what will be
the tensile stress...

JEE Main 2019 (Online) 12th January Evening Slot

A load of mass M kg is suspended from a steel wire of length 2m and radius 1.0 mm in Searle's apparatus
experiment. The increase in length produced in...

JEE Main 2019 (Online) 12th January Evening Slot

A soap bubble, blown by a mechanical pump at the mouth of a tube, increases in volume, with time, at a constant rate. The graph that correctly depicts...

JEE Main 2019 (Online) 12th January Evening Slot

A long cylindrical vessel is half filled with a liquid. When the vessel is rotated about its own vertical axis, the liquid rises up near the wall. If ...

JEE Main 2019 (Online) 11th January Morning Slot

A liquid of density $$\rho $$ is coming out of a hose pipe of radius a with horizontal speed $$\upsilon $$ and hits a mesh. 50% of
the liquid passes t...

JEE Main 2019 (Online) 10th January Morning Slot

Water flows into a large tank with flat bottom at the rate of 10–4m3s–1. Water is also leaking out of a hole ofarea 1 cm2 at its bottom. If the height...

JEE Main 2019 (Online) 9th January Evening Slot

The top of a water tank is open to air and its water level is mainted. It is giving out 0.74 m3 water per minute through a circular opening of 2 cm ra...

JEE Main 2018 (Online) 16th April Morning Slot

A small soap bubble of radius 4 cm is trapped inside another bubble of radius 6 cm without any contact. Let P2 be the pressure inside the inner bubble...

JEE Main 2018 (Offline)

A solid sphere of radius r made of a soft material of bulk modulus K is surrounded by a liquid in a
cylindrical container. A massless piston of area a...

JEE Main 2018 (Online) 15th April Evening Slot

When an air bubble of radius r rises from the bottom to the surface of a lake its radius becomes $${{5r} \over 4}.$$ Taking the atmospheric pressure t...

JEE Main 2018 (Online) 15th April Evening Slot

As shown in the figure, forces of 105 N each are applied in opposite directions, on the upper and lower faces of a cube of side 10 cm, shifting the u...

JEE Main 2018 (Online) 15th April Evening Slot

A body takes 10 minutes to cool from 60oC to 50oC. The tempertature of surroundings is constant at 25oC. Then, the temperature of the body after next ...

JEE Main 2018 (Online) 15th April Morning Slot

A thin uniform tube is bent into a circle of radius $$r$$ in the vertical plane. Equal volumes of two immiscible liquids, whose densities are $${\rho ...

JEE Main 2017 (Online) 9th April Morning Slot

Two tubes of radii r1 and r2, and lengths l1 and l2 , respectively, are connected in series
and a liquid flows through each of them in stream line co...

JEE Main 2017 (Offline)

A man grows into a giant such that his linear dimensions increase by a factor of 9. Assuming that his
density remains same, the stress in the leg will...

JEE Main 2016 (Online) 10th April Morning Slot

A thin 1 m long rod has a radius of 5 mm. A force of 50 $$\pi $$kN is applied at one end to determine its Young’s modulus. Assume that the force is ex...

JEE Main 2016 (Online) 10th April Morning Slot

A bottle has an opening of radius a and length b. A cork of length b and radius (a + $$\Delta $$a) where ($$\Delta $$a < < a) is compressed to f...

JEE Main 2016 (Online) 9th April Morning Slot

A uniformly tapering conical wire is made from a material of Young’s modulus
Y and has a normal, unextended length L. The radii, at the upper and lowe...

JEE Main 2016 (Online) 9th April Morning Slot

Which of the following option correctly describes the variation of the speed v and acceleration ‘a’ of a point mass falling vertically in a viscous me...

JEE Main 2016 (Online) 9th April Morning Slot

Consider a water jar of radius R that has water filled up to height H and is kept on astand of height h (see figure). Through a hole of radius r (r &l...

JEE Main 2014 (Offline)

An open glass tube is immersed in mercury in such a way that a length of $$8$$ $$cm$$ extends above the mercury level. The open end of the tube is the...

JEE Main 2014 (Offline)

The pressure that has to be applied to the ends of a steel wire of length $$10$$ $$cm$$ to keep its length constant when its temperature is raised by ...

JEE Main 2014 (Offline)

On heating water, bubbles being formed at the bottom of the vessel detach and rise. Take the bubbles to be spheres of radius $$R$$ and making a circul...

JEE Main 2014 (Offline)

There is a circular tube in a vertical plane. Two liquids which do not mix and of densities $${d_1}$$ and $${d_2}$$ are filled in the tube. Each liqui...

JEE Main 2013 (Offline)

A uniform cylinder of length $$L$$ and mass $$M$$ having cross-sectional area $$A$$ is suspended, with its length vertical, from a fixed point by a ma...

JEE Main 2013 (Offline)

If a piece of metal is heated to temperature $$\theta $$ and then allowed to cool in a room which is at temperature $${\theta _0},$$ the graph between...

AIEEE 2012

A thin liquid film formed between a U-shaped wire and a light slider supports a weight of $$1.5 \times {10^{ - 2}}\,\,N$$ (see figure). The length of ...

AIEEE 2012

A liquid in a beaker has temperature $$\theta \left( t \right)$$ at time $$t$$ and $${\theta _0}$$ is temperature of surroundings, then according to N...

AIEEE 2011

Work done in increasing the size of a soap bubble from a radius of $$3$$ $$cm$$ to $$5$$ $$cm$$ is nearly (Surface tension of soap solution $$ = 0.03N...

AIEEE 2011

Water is flowing continuously from a tap having an internal diameter $$8 \times {10^{ - 3}}\,\,m.$$ The water velocity as it leaves the tap is $$0.4\,...

AIEEE 2010

A ball is made of a material of density $$\rho $$ where $${\rho _{oil}}\, < \rho < {\rho _{water}}$$ with $${\rho _{oil}}$$ and $${\rho _{water...

AIEEE 2009

Two wires are made of the same material and have the same volume. However wire $$1$$ has cross-sectional area $$A$$ and wire $$2$$ has cross-sectional...

AIEEE 2008

A spherical solid ball of volume $$V$$ is made of a material of density $${\rho _1}$$. It is falling through a liquid of density $${\rho _2}\left( {{\...

AIEEE 2008

A capillary tube (A) is dipped in water. Another identical tube (B) is dipped in a soap-water solution. Which of the following shows the relative natu...

AIEEE 2008

A jar is filled with two non-mixing liquids $$1$$ and $$2$$ having densities $${\rho _1}$$ and $${\rho _2}$$ respectively. A solid ball, made of a ma...

AIEEE 2006

If the terminal speed of a sphere of gold (density $$ = 19.5\,\,kg/{m^3}$$) is $$0.2$$ $$m/s$$ in a viscous liquid (density $$ = 1.5\,\,kg/{m^3}$$, fi...

AIEEE 2006

A wire elongates by $$l$$ $$mm$$ when a LOAD $$W$$ is hanged from it. If the wire goes over a pulley and two weights $$W$$ each are hung at the two en...

AIEEE 2005

If $$S$$ is stress and $$Y$$ is young's modulus of material of a wire, the energy stored in the wire per unit volume is

AIEEE 2005

A $$20$$ $$cm$$ long capillary tube is dipped in water. The water rises up to $$8$$ $$cm.$$ If the entire arrangement is put in a freely falling eleva...

AIEEE 2004

A wire fixed at the upper end stretches by length $$l$$ by applying a force $$F.$$ The work done in stretching is

AIEEE 2004

If two soap bubbles of different radii are connected by a tube

AIEEE 2004

Spherical balls of radius $$R$$ are falling in a viscous fluid of viscosity $$\eta $$ with a velocity $$v.$$ The retarding viscous force acting on the...

AIEEE 2003

According to Newton's law of cooling, the rate of cooling of a body is proportional to $${\left( {\Delta \theta } \right)^n},$$ where $${\Delta \thet...

AIEEE 2002

A cylinder of height $$20$$ $$m$$ is completely filled with water. The velocity of efflux of water (in $$m{s^{ - 1}}$$) through a small hole on the si...

## Numerical

JEE Main 2024 (Online) 9th April Morning Shift

Two persons pull a wire towards themselves. Each person exerts a force of $$200 \mathrm{~N}$$ on the wire. Young's modulus of the material of wire is ...

JEE Main 2024 (Online) 8th April Evening Shift

Small water droplets of radius $$0.01 \mathrm{~mm}$$ are formed in the upper atmosphere and falling with a terminal velocity of $$10 \mathrm{~cm} / \m...

JEE Main 2024 (Online) 8th April Morning Shift

A liquid column of height $$0.04 \mathrm{~cm}$$ balances excess pressure of a soap bubble of certain radius. If density of liquid is $$8 \times 10^3 \...

JEE Main 2024 (Online) 6th April Evening Shift

A wire of cross sectional area A, modulus of elasticity $$2 \times 10^{11} \mathrm{~Nm}^{-2}$$ and length $$2 \mathrm{~m}$$ is stretched between two v...

JEE Main 2024 (Online) 6th April Morning Shift

A big drop is formed by coalescing 1000 small droplets of water. The ratio of surface energy of 1000 droplets to that of energy of big drop is $$\frac...

JEE Main 2024 (Online) 5th April Evening Shift

A hydraulic press containing water has two arms with diameters as mentioned in the figure. A force of $$10 \mathrm{~N}$$ is applied on the surface of...

JEE Main 2024 (Online) 5th April Morning Shift

The density and breaking stress of a wire are $$6 \times 10^4 \mathrm{~kg} / \mathrm{m}^3$$ and $$1.2 \times 10^8 \mathrm{~N} / \mathrm{m}^2$$ respect...

JEE Main 2024 (Online) 4th April Evening Shift

Mercury is filled in a tube of radius $$2 \mathrm{~cm}$$ up to a height of $$30 \mathrm{~cm}$$. The force exerted by mercury on the bottom of the tube...

JEE Main 2024 (Online) 4th April Morning Shift

A soap bubble is blown to a diameter of $$7 \mathrm{~cm}$$. $$36960 \mathrm{~erg}$$ of work is done in blowing it further. If surface tension of soap ...

JEE Main 2024 (Online) 4th April Morning Shift

An elastic spring under tension of $$3 \mathrm{~N}$$ has a length $$a$$. Its length is $$b$$ under tension $$2 \mathrm{~N}$$. For its length $$(3 a-2 ...

JEE Main 2024 (Online) 1st February Evening Shift

One end of a metal wire is fixed to a ceiling and a load of $2 \mathrm{~kg}$ hangs from the other end. A similar wire is attached to the bottom of the...

JEE Main 2024 (Online) 1st February Morning Shift

A plane is in level flight at constant speed and each of its two wings has an area of $40 \mathrm{~m}^2$. If the speed of the air is $180 \mathrm{~km}...

JEE Main 2024 (Online) 31st January Evening Shift

Two blocks of mass $$2 \mathrm{~kg}$$ and $$4 \mathrm{~kg}$$ are connected by a metal wire going over a smooth pulley as shown in figure. The radius o...

JEE Main 2024 (Online) 31st January Morning Shift

The depth below the surface of sea to which a rubber ball be taken so as to decrease its volume by $$0.02 \%$$ is _______ $$m$$.
(Take density of sea ...

JEE Main 2024 (Online) 30th January Evening Shift

A big drop is formed by coalescing 1000 small identical drops of water. If $$E_1$$ be the total surface energy of 1000 small drops of water and $$E_2$...

JEE Main 2024 (Online) 30th January Morning Shift

Each of three blocks $$\mathrm{P}, \mathrm{Q}$$ and $$\mathrm{R}$$ shown in figure has a mass of $$3 \mathrm{~kg}$$. Each of the wires $$\mathrm{A}$$ ...

JEE Main 2024 (Online) 29th January Evening Shift

Two metallic wires $$P$$ and $$Q$$ have same volume and are made up of same material. If their area of cross sections are in the ratio $$4: 1$$ and fo...

JEE Main 2024 (Online) 29th January Morning Shift

In a test experiment on a model aeroplane in wind tunnel, the flow speeds on the upper and lower surfaces of the wings are $$70 \mathrm{~ms}^{-1}$$ an...

JEE Main 2024 (Online) 27th January Evening Shift

The reading of pressure metre attached with a closed pipe is $$4.5 \times 10^4 \mathrm{~N} / \mathrm{m}^2$$. On opening the valve, water starts flowin...

JEE Main 2024 (Online) 27th January Morning Shift

If average depth of an ocean is $$4000 \mathrm{~m}$$ and the bulk modulus of water is $$2 \times 10^9 \mathrm{~Nm}^{-2}$$, then fractional compression...

JEE Main 2023 (Online) 15th April Morning Shift

There is an air bubble of radius $1.0 \mathrm{~mm}$ in a liquid of surface tension $0.075~ \mathrm{Nm}^{-1}$ and density $1000 \mathrm{~kg} \mathrm{~m...

JEE Main 2023 (Online) 13th April Morning Shift

The elastic potential energy stored in a steel wire of length $$20 \mathrm{~m}$$ stretched through $$2 \mathrm{~cm}$$ is $$80 \mathrm{~J}$$. The cross...

JEE Main 2023 (Online) 12th April Morning Shift

Glycerin of density $$1.25 \times 10^{3} \mathrm{~kg} \mathrm{~m}^{-3}$$ is flowing through the conical section of pipe The area of cross-section of t...

JEE Main 2023 (Online) 11th April Evening Shift

The surface tension of soap solution is $$3.5 \times 10^{-2} \mathrm{~Nm}^{-1}$$. The amount of work done required to increase the radius of soap bubb...

JEE Main 2023 (Online) 11th April Evening Shift

A wire of density $$8 \times 10^{3} \mathrm{~kg} / \mathrm{m}^{3}$$ is stretched between two clamps $$0.5 \mathrm{~m}$$ apart. The extension developed...

JEE Main 2023 (Online) 11th April Morning Shift

The length of a wire becomes $$l_{1}$$ and $$l_{2}$$ when $$100 \mathrm{~N}$$ and $$120 \mathrm{~N}$$ tensions are applied respectively. If $$10 ~l_{2...

JEE Main 2023 (Online) 10th April Evening Shift

Figure below shows a liquid being pushed out of the tube by a piston having area of cross section $$2.0 \mathrm{~cm}^{2}$$. The area of cross section ...

JEE Main 2023 (Online) 10th April Morning Shift

Two wires each of radius 0.2 cm and negligible mass, one made of steel and the other made of brass are loaded as shown in the figure. The elongation o...

JEE Main 2023 (Online) 8th April Morning Shift

An air bubble of diameter $$6 \mathrm{~mm}$$ rises steadily through a solution of density $$1750 \mathrm{~kg} / \mathrm{m}^{3}$$ at the rate of $$0.35...

JEE Main 2023 (Online) 6th April Evening Shift

A metal block of mass $$\mathrm{m}$$ is suspended from a rigid support through a metal wire of diameter $$14 \mathrm{~mm}$$. The tensile stress develo...

JEE Main 2023 (Online) 6th April Morning Shift

A steel rod has a radius of $$20 \mathrm{~mm}$$ and a length of $$2.0 \mathrm{~m}$$. A force of $$62.8 ~\mathrm{kN}$$ stretches it along its length. Y...

JEE Main 2023 (Online) 1st February Evening Shift

The surface of water in a water tank of cross section area $$750 \mathrm{~cm}^{2}$$ on the top of a house is $$h \mathrm{~m}$$ above the tap level. Th...

JEE Main 2023 (Online) 1st February Morning Shift

A certain pressure '$$\mathrm{P}$$' is applied to 1 litre of water and 2 litre of a liquid separately. Water gets compressed to $$0.01 \%$$ whereas th...

JEE Main 2023 (Online) 31st January Morning Shift

A thin rod having a length of $$1 \mathrm{~m}$$ and area of cross-section $$3 \times 10^{-6} \mathrm{~m}^{2}$$ is suspended vertically from one end. T...

JEE Main 2023 (Online) 29th January Evening Shift

A metal block of base area 0.20 m$$^2$$ is placed on a table, as shown in figure. A liquid film of thickness 0.25 mm is inserted between the block and...

JEE Main 2023 (Online) 29th January Morning Shift

A body cools from 60$$^\circ$$C to 40$$^\circ$$C in 6 minutes. If, temperature of surroundings is 10$$^\circ$$C. Then, after the next 6 minutes, its t...

JEE Main 2023 (Online) 25th January Evening Shift

A spherical drop of liquid splits into 1000 identical spherical drops. If u$$_\mathrm{i}$$ is the surface energy of the original drop and u$$_\mathrm{...

JEE Main 2023 (Online) 25th January Morning Shift

As shown in the figure, in an experiment to determine Young's modulus of a wire, the extension-load curve is plotted. The curve is a straight line pas...

JEE Main 2023 (Online) 24th January Evening Shift

A Spherical ball of radius 1mm and density 10.5 g/cc is dropped in glycerine of coefficient of viscosity 9.8 poise and density 1.5 g/cc. Viscous force...

JEE Main 2022 (Online) 29th July Evening Shift

A tube of length $$50 \mathrm{~cm}$$ is filled completely with an incompressible liquid of mass $$250 \mathrm{~g}$$ and closed at both ends. The tube ...

JEE Main 2022 (Online) 29th July Evening Shift

A metal wire of length $$0.5 \mathrm{~m}$$ and cross-sectional area $$10^{-4} \mathrm{~m}^{2}$$ has breaking stress $$5 \times 10^{8} \,\mathrm{Nm}^{-...

JEE Main 2022 (Online) 29th July Evening Shift

The velocity of a small ball of mass $$0.3 \mathrm{~g}$$ and density $$8 \mathrm{~g} / \mathrm{cc}$$ when dropped in a container filled with glycerine...

JEE Main 2022 (Online) 29th July Evening Shift

The speed of a transverse wave passing through a string of length $$50 \mathrm{~cm}$$ and mass $$10 \mathrm{~g}$$ is $$60 \mathrm{~ms}^{-1}$$. The are...

JEE Main 2022 (Online) 28th July Evening Shift

A string of area of cross-section $$4 \mathrm{~mm}^{2}$$ and length $$0.5 \mathrm{~m}$$ is connected with a rigid body of mass $$2 \mathrm{~kg}$$. The...

JEE Main 2022 (Online) 28th July Morning Shift

The diameter of an air bubble which was initially $$2 \mathrm{~mm}$$, rises steadily through a solution of density $$1750 \mathrm{~kg} \mathrm{~m}^{-3...

JEE Main 2022 (Online) 27th July Evening Shift

In an experiment to determine the Young's modulus, steel wires of five different lengths $$(1,2,3,4$$, and $$5 \mathrm{~m})$$ but of same cross sectio...

JEE Main 2022 (Online) 27th July Evening Shift

A spherical soap bubble of radius 3 cm is formed inside another spherical soap bubble of radius 6 cm. If the internal pressure of the smaller bubble o...

JEE Main 2022 (Online) 27th July Morning Shift

A square aluminum (shear modulus is $$25 \times 10^{9}\, \mathrm{Nm}^{-2}$$) slab of side $$60 \mathrm{~cm}$$ and thickness $$15 \mathrm{~cm}$$ is sub...

JEE Main 2022 (Online) 26th July Evening Shift

A uniform heavy rod of mass $$20 \mathrm{~kg}$$, cross sectional area $$0.4 \mathrm{~m}^{2}$$ and length $$20 \mathrm{~m}$$ is hanging from a fixed su...

JEE Main 2022 (Online) 26th July Morning Shift

In an experiment to determine the Young's modulus of wire of a length exactly $$1 \mathrm{~m}$$, the extension in the length of the wire is measured a...

JEE Main 2022 (Online) 25th July Morning Shift

A wire of length $$\mathrm{L}$$ and radius $$\mathrm{r}$$ is clamped rigidly at one end. When the other end of the wire is pulled by a force $$\mathrm...

JEE Main 2022 (Online) 30th June Morning Shift

The excess pressure inside a liquid drop is 500 Nm$$-$$2. If the radius of the drop is 2 mm, the surface tension of liquid is x $$\times$$ 10$$-$$3 Nm...

JEE Main 2022 (Online) 29th June Evening Shift

A small spherical ball of radius 0.1 mm and density 104 kg m$$-$$3 falls freely under gravity through a distance h before entering a tank of water. I...

JEE Main 2022 (Online) 28th June Evening Shift

A liquid of density 750 kgm$$-$$3 flows smoothly through a horizontal pipe that tapers in cross-sectional area from A1 = 1.2 $$\times$$ 10$$-$$2 m2 to...

JEE Main 2022 (Online) 27th June Morning Shift

The area of cross-section of a large tank is 0.5 m2. It has a narrow opening near the bottom having area of cross-section 1 cm2. A load of 25 kg is ap...

JEE Main 2022 (Online) 26th June Morning Shift

The elastic behaviour of material for linear stress and linear strain, is shown in the figure. The energy density for a linear strain of 5 $$\times$$ ...

JEE Main 2022 (Online) 26th June Morning Shift

The elongation of a wire on the surface of the earth is 10$$-$$4 m. The same wire of same dimensions is elongated by 6 $$\times$$ 10$$-$$5 m on anothe...

JEE Main 2022 (Online) 26th June Morning Shift

An ideal fluid of density 800 kgm$$-$$3, flows smoothly through a bent pipe (as shown in figure) that tapers in cross-sectional area from a to $${a \o...

JEE Main 2022 (Online) 25th June Morning Shift

The velocity of upper layer of water in a river is 36 kmh$$-$$1. Shearing stress between horizontal layers of water is 10$$-$$3 Nm$$-$$2. Depth of the...

JEE Main 2022 (Online) 24th June Evening Shift

In an experiment to verify Newton's law of cooling, a graph is plotted between the temperature difference ($$\Delta$$T) of the water and surroundings ...

JEE Main 2021 (Online) 1st September Evening Shift

A steel rod with y = 2.0 $$\times$$ 1011 Nm$$-$$2 and $$\alpha$$ = 10$$-$$5 $$^\circ$$C$$-$$1 of length 4 m and area of cross-section 10 cm2 is heated...

JEE Main 2021 (Online) 31st August Morning Shift

When a rubber ball is taken to a depth of __________m in deep sea, its volume decreases by 0.5%. (The bulk modulus of rubber = 9.8 $$\times$$ 108 Nm$$...

JEE Main 2021 (Online) 27th August Evening Shift

Wires W1 and W2 are made of same material having the breaking stress of 1.25 $$\times$$ 109 N/m2. W1 and W2 have cross-sectional area of 8 $$\times$$ ...

JEE Main 2021 (Online) 26th August Morning Shift

A soap bubble of radius 3 cm is formed inside the another soap bubble of radius 6 cm. The radius of an equivalent soap bubble which has the same exces...

JEE Main 2021 (Online) 27th July Evening Shift

The water is filled upto height of 12 m in a tank having vertical sidewalls. A hole is made in one of the walls at a depth 'h' below the water level. ...

JEE Main 2021 (Online) 27th July Morning Shift

A stone of mass 20 g is projected from a rubber catapult of length 0.1 m and area of cross section 10$$-$$6 m2 stretched by an amount 0.04 m. The velo...

JEE Main 2021 (Online) 22th July Evening Shift

In 5 minutes, a body cools from 75$$^\circ$$C to 65$$^\circ$$C at room temperature of 25$$^\circ$$C. The temperature of body at the end of next 5 minu...

JEE Main 2021 (Online) 18th March Evening Shift

Consider a water tank as shown in the figure. It's cross-sectional area is 0.4 m2. The tank has an opening B near the bottom whose cross-section area ...

JEE Main 2021 (Online) 18th March Morning Shift

Two separate wires A and B are stretched by 2 mm and 4 mm respectively, when they are subjected to a force of 2 N. Assume that both the wires are made...

JEE Main 2021 (Online) 17th March Evening Shift

Suppose you have taken a dilute solution of oleic acid in such a way that its concentration becomes 0.01 cm3 of oleic acid per cm3 of the solution. Th...

JEE Main 2021 (Online) 24th February Evening Shift

A uniform metallic wire is elongated by 0.04 m when subjected to a linear force F. The elongation, if its length and diameter is doubled and subjected...

JEE Main 2021 (Online) 24th February Morning Shift

A hydraulic press can lift 100 kg when a mass 'm' is placed on the smaller piston. It can lift ___________ kg when the diameter of the larger piston i...

JEE Main 2020 (Online) 3rd September Morning Slot

When a long glass capillary tube of radius
0.015 cm is dipped in a liquid, the liquid rises
to a height of 15 cm within it. If the contact angle
betwe...

JEE Main 2020 (Online) 2nd September Evening Slot

A wire of density 9 $$ \times $$ 10–3 kg cm–3 is stretched
between two clamps 1 m apart. The resulting
strain in the wire is 4.9 $$ \times $$ 10–4. Th...