Properties of Matter · Physics · JEE Advanced

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Numerical

JEE Advanced 2023 Paper 2 Online
An incompressible liquid is kept in a container having a weightless piston with a hole. A capillary tube of inner radius $0.1 \mathrm{~mm}$ is dipped ...
JEE Advanced 2020 Paper 2 Offline
A train with cross-sectional area St is moving with speed vt inside a long tunnel of cross-sectional area S0 (S0 = 4St). Assume that almost all the ai...
JEE Advanced 2020 Paper 2 Offline
A hot air balloon is carrying some passengers, and a few sandbags of mass 1 kg each so that its total mass is 480 kg. Its effective volume giving the ...
JEE Advanced 2020 Paper 2 Offline
A cubical solid aluminium (bulk modulus = $$ - V{{dP} \over {dV}} = 70GPa$$) block has an edge length of 1 m on the surface of the earth. It is kept o...
JEE Advanced 2020 Paper 1 Offline
When water is filled carefully in a glass, one can fill it to a height h above the rim of the glass due to the surface tension of water. To calculate ...
JEE Advanced 2019 Paper 1 Offline
A block of weight 100 N is suspended by copper and steel wires of same cross-sectional area 0.5 cm2 and length $$\sqrt 3 $$ m and 1 m, respectively. T...
JEE Advanced 2019 Paper 1 Offline
A liquid at 30$$^\circ $$C is poured very slowly into a Calorimeter that is at temperature of 110$$^\circ $$C. The boiling temperature of the liquid i...
JEE Advanced 2018 Paper 1 Offline
Two conducting cylinders of equal length but different radii are connected in series between two heat baths kept at temperatures $${T_1} = 300\,K$$ an...
JEE Advanced 2017 Paper 1 Offline
A drop of liquid of radius $$R = {10^{ - 2}}\,m$$ having surface tension $$S = {{0.1} \over {4\pi }}N{m^{ - 1}}$$ divides itself into $$K$$ identical...
JEE Advanced 2016 Paper 1 Offline
Consider two solid spheres P and Q each of density 8 gm cm–3 and diameters 1 cm and 0.5 cm, respectively. Sphere P is dropped into a liquid of density...
IIT-JEE 2009 Paper 2 Offline
Two soap bubbles A and B are kept in a closed chamber where the air is maintained at pressure 8 N/m$$^2$$. The radii of bubbles A and B are 2 cm and 4...
IIT-JEE 2009 Paper 2 Offline
A cylindrical vessel of height 500 mm has an orifice (small hole) at its bottom. The orifice is initially closed and water is filled in it up to heigh...

MCQ (More than One Correct Answer)

JEE Advanced 2022 Paper 2 Online
A bubble has surface tension $S$. The ideal gas inside the bubble has ratio of specific heats $\gamma=$ $\frac{5}{3}$. The bubble is exposed to the at...
JEE Advanced 2022 Paper 1 Online
An ideal gas of density $\rho=0.2 \mathrm{~kg} \mathrm{~m}^{-3}$ enters a chimney of height $h$ at the rate of $\alpha=$ $0.8 \mathrm{~kg} \mathrm{~s}...
JEE Advanced 2021 Paper 1 Online
A cylindrical tube, with its base as shown in the figure, is filled with water. It is moving down with a constant acceleration a along a fixed incline...
JEE Advanced 2020 Paper 1 Offline
As shown schematically in the figure, two vessels contain water solutions (at temperature T) of potassium permanganate (KMnO4) of different concentrat...
JEE Advanced 2019 Paper 1 Offline
A cylindrical capillary tube of 0.2 mm radius is made by joining two capillaries T1 and T2 of different materials having water contact angles of 0$$^\...
JEE Advanced 2018 Paper 2 Offline
Consider a thin square plate floating on a viscous liquid in a large tank. The height $$h$$ of the liquid in the tank is much less than the width of t...
JEE Advanced 2018 Paper 1 Offline
A uniform capillary tube of inner radius $$r$$ is dipped vertically into a beaker filled with water. The water rises to a height $$h$$ in the capillar...
JEE Advanced 2017 Paper 1 Offline
A human body has a surface area of approximately $$1\,m{}^2.$$ The normal body temperature is $$10$$ $$K$$ above the surrounding room temperature $${T...
JEE Advanced 2015 Paper 2 Offline
A spherical body of radius R consists of a fluid of constant density and is in equilibrium under its own gravity. If P(r) is the pressure at r (r <...
JEE Advanced 2015 Paper 2 Offline
In plotting stress versus strain curves for two materials P and Q, a student by mistake puts strain on the y-axis and stress on the x-axis as shown in...
JEE Advanced 2015 Paper 2 Offline
Two spheres P and Q for equal radii have densities $$\rho$$1 and $$\rho$$2, respectively. The spheres are connected by a massless string and placed in...
JEE Advanced 2014 Paper 1 Offline
Heater of an electric kettle is made of a wire of length L and diameter d. It takes 4 minutes to raise the temperature of 0.5 kg water by 40 K. This h...
JEE Advanced 2013 Paper 1 Offline
A solid sphere of radius R and density $$\rho $$ is attached to one end of a mass-less spring of force constant k. The other end of the spring is conn...
IIT-JEE 2012 Paper 1 Offline
A person blows into the open end of a long pipe. As a result, a high-pressure pulse of air travels down the pipe. When this pulse reaches the other en...
IIT-JEE 2011 Paper 1 Offline
A composite block is made of slabs A, B, C, D and E of different thermal conductivities (given in terms of a constant K) and sizes (given in terms of ...
IIT-JEE 2011 Paper 2 Offline
Two solid spheres A and B of equal volumes but of different densities dA and dB are connected by a string. They are fully immersed in a fluid of densi...

MCQ (Single Correct Answer)

JEE Advanced 2020 Paper 1 Offline
An open-ended U-tube of uniform cross-sectional area contains water (density 103 kg m−3 ). Initially the water level stands at 0.29 m from the bottom ...
JEE Advanced 2019 Paper 1 Offline
A current carrying wire heats a metal rod. The wire provides a constant power (P) to the rod. The metal rod is enclosed in an insulated container. It ...
JEE Advanced 2014 Paper 2 Offline
A person in a lift is holding a water jar, which has a small hole at the lower end of its side. When the lift is at rest, the water jet coming out of ...
JEE Advanced 2014 Paper 2 Offline
A glass capillary tube is of the shape of truncated cone with an apex angle $$\alpha$$ so that its two ends have cross sections of different radii. Wh...
JEE Advanced 2014 Paper 2 Offline
If the piston is pushed at a speed of 5 mm s$$-$$1, the air comes out of the nozzle with a speed of
JEE Advanced 2014 Paper 2 Offline
If the density of air is $$\rho$$a and that of the liquid $$\rho$$l, then for a given piston speed the rate (volume per unit time) at which the liquid...
JEE Advanced 2013 Paper 1 Offline
One end of a horizontal thick copper wire of length 2L and radius 2R is welded to an end of another horizontal thin copper wire of length L and radius...
IIT-JEE 2012 Paper 2 Offline
A thin uniform cylindrical shell, closed at both ends, is partially filled with water. It is floating vertically in water in half-submerged state. If ...
IIT-JEE 2010 Paper 2 Offline
When liquid medicine of density $$\rho $$ is to be put in the eye, it is done with the help of a dropper. As the bulb on the top of the dropper is pre...
IIT-JEE 2010 Paper 2 Offline
When liquid medicine of density $$\rho $$ is to be put in the eye, it is done with the help of a dropper. As the bulb on the top of the dropper is pre...
IIT-JEE 2010 Paper 2 Offline
When liquid medicine of density $$\rho $$ is to be put in the eye, it is done with the help of a dropper. As the bulb on the top of the dropper is pre...
IIT-JEE 2008 Paper 2 Offline
A glass tube of uniform internal radius (r) has a valve separating the two identical ends. Initially, the valve is in a tightly closed position. End 1...
IIT-JEE 2008 Paper 1 Offline
STATEMENT - 1 : The stream of water flowing at high speed from a garden hose pipe tends to spread line a fountain when held vertically up, but tends t...
IIT-JEE 2008 Paper 1 Offline
As the bubble moves upwards, besides the buoyancy force the following forces are acting on it
IIT-JEE 2008 Paper 1 Offline
When the gas bubble is at a height y from the bottom, its temperature is :
IIT-JEE 2008 Paper 1 Offline
The buoyancy force acting on the gas bubble is (Assume R is the universal gas constant)
IIT-JEE 2007 Paper 2 Offline
Water is filled up to a height $$h$$ in a beaker of radius $$R$$ as shown in the figure. The density of water is $$\rho$$, the surface tension of wate...
IIT-JEE 2007 Paper 2 Offline
Column I gives some devices and Column II gives some process on which the functioning of these devices depend. Match the devices in Column I with the ...
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