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MCQ (Single Correct Answer)

JEE Main 2024 (Online) 1st February Evening Shift
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JEE Main 2024 (Online) 1st February Morning Shift
10 divisions on the main scale of a Vernier calliper coincide with 11 divisions on the Vernier scale. If each division on the main scale is of 5 units...
JEE Main 2024 (Online) 1st February Morning Shift
The dimensional formula of angular impulse is :
JEE Main 2024 (Online) 1st February Morning Shift
The radius $(\mathrm{r})$, length $(l)$ and resistance $(\mathrm{R})$ of a metal wire was measured in the laboratory as $$ \begin{aligned} & \mathrm{r...
JEE Main 2024 (Online) 31st January Evening Shift
Consider two physical quantities $$A$$ and $$B$$ related to each other as $$E=\frac{B-x^2}{A t}$$ where $$E, x$$ and $$t$$ have dimensions of energy, ...
JEE Main 2024 (Online) 31st January Evening Shift
The measured value of the length of a simple pendulum is $$20 \mathrm{~cm}$$ with $$2 \mathrm{~mm}$$ accuracy. The time for 50 oscillations was measur...
JEE Main 2024 (Online) 31st January Morning Shift
If the percentage errors in measuring the length and the diameter of a wire are $$0.1 \%$$ each. The percentage error in measuring its resistance will...
JEE Main 2024 (Online) 31st January Morning Shift
A force is represented by $$F=a x^2+b t^{\frac{1}{2}}$$ where $$x=$$ distance and $$t=$$ time. The dimensions of $$b^2 / a$$ are:
JEE Main 2024 (Online) 30th January Evening Shift
If 50 Vernier divisions are equal to 49 main scale divisions of a traveling microscope and one smallest reading of main scale is $$0.5 \mathrm{~mm}$$,...
JEE Main 2024 (Online) 30th January Evening Shift
If mass is written as $$m=k \mathrm{c}^{\mathrm{P}} G^{-1 / 2} h^{1 / 2}$$ then the value of $$P$$ will be : (Constants have their usual meaning with ...
JEE Main 2024 (Online) 30th January Morning Shift
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JEE Main 2024 (Online) 29th January Evening Shift
A physical quantity $$Q$$ is found to depend on quantities $$a, b, c$$ by the relation $$Q=\frac{a^4 b^3}{c^2}$$. The percentage error in $$a, b$$ and...
JEE Main 2024 (Online) 29th January Morning Shift
The resistance $$R=\frac{V}{I}$$ where $$\mathrm{V}=(200 \pm 5) \mathrm{V}$$ and $$I=(20 \pm 0.2) \mathrm{A}$$, the percentage error in the measuremen...
JEE Main 2024 (Online) 27th January Evening Shift
Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A) : In Vernier calliper if posi...
JEE Main 2024 (Online) 27th January Morning Shift
Given below are two statements : Statement (I) : Planck's constant and angular momentum have same dimensions. Statement (II) : Linear momentum and mom...
JEE Main 2023 (Online) 15th April Morning Shift
The speed of a wave produced in water is given by $v=\lambda^{a} g^{b} \rho^{c}$. Where $\lambda, g$ and $\rho$ are wavelength of wave, acceleration d...
JEE Main 2023 (Online) 13th April Evening Shift
In the equation $$\left[X+\frac{a}{Y^{2}}\right][Y-b]=\mathrm{R} T, X$$ is pressure, $$Y$$ is volume, $$\mathrm{R}$$ is universal gas constant and $$T...
JEE Main 2023 (Online) 13th April Morning Shift
A body of mass $$(5 \pm 0.5) ~\mathrm{kg}$$ is moving with a velocity of $$(20 \pm 0.4) ~\mathrm{m} / \mathrm{s}$$. Its kinetic energy will be
JEE Main 2023 (Online) 12th April Morning Shift
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JEE Main 2023 (Online) 11th April Evening Shift
If force (F), velocity (V) and time (T) are considered as fundamental physical quantity, then dimensional formula of density will be :
JEE Main 2023 (Online) 11th April Morning Shift
Given below are two statements : Statements I : Astronomical unit (Au), Parsec (Pc) and Light year (ly) are units for measuring astronomical distances...
JEE Main 2023 (Online) 10th April Evening Shift
In an experiment with vernier callipers of least count $$0.1 \mathrm{~mm}$$, when two jaws are joined together the zero of vernier scale lies right to...
JEE Main 2023 (Online) 10th April Morning Shift
A physical quantity P is given as $$P = {{{a^2}{b^3}} \over {c\sqrt d }}$$ The percentage error in the measurement of a, b, c and d are 1%, 2%, 3% and...
JEE Main 2023 (Online) 8th April Evening Shift
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JEE Main 2023 (Online) 8th April Morning Shift
Dimension of $$\frac{1}{\mu_{0} \in_{0}}$$ should be equal to
JEE Main 2023 (Online) 8th April Morning Shift
A cylindrical wire of mass $$(0.4 \pm 0.01) \mathrm{g}$$ has length $$(8 \pm 0.04) \mathrm{cm}$$ and radius $$(6 \pm 0.03) \mathrm{mm}$$. The maximum ...
JEE Main 2023 (Online) 6th April Morning Shift
Two resistances are given as $$\mathrm{R}_{1}=(10 \pm 0.5) \Omega$$ and $$\mathrm{R}_{2}=(15 \pm 0.5) \Omega$$. The percentage error in the measuremen...
JEE Main 2023 (Online) 1st February Evening Shift
If the velocity of light $$\mathrm{c}$$, universal gravitational constant $$\mathrm{G}$$ and Planck's constant $$\mathrm{h}$$ are chosen as fundamenta...
JEE Main 2023 (Online) 31st January Evening Shift
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JEE Main 2023 (Online) 30th January Evening Shift
Match List I with List II: .tg {border-collapse:collapse;border-spacing:0;} .tg td{border-color:black;border-style:solid;border-width:1px;font-famil...
JEE Main 2023 (Online) 29th January Evening Shift
The equation of a circle is given by $$x^2+y^2=a^2$$, where a is the radius. If the equation is modified to change the origin other than (0, 0), then ...
JEE Main 2023 (Online) 29th January Morning Shift
Match List I with List II : .tg {border-collapse:collapse;border-spacing:0;} .tg td{border-color:black;border-style:solid;border-width:1px;font-fami...
JEE Main 2023 (Online) 25th January Evening Shift
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JEE Main 2023 (Online) 24th January Morning Shift
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JEE Main 2022 (Online) 29th July Evening Shift
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JEE Main 2022 (Online) 29th July Morning Shift
Given below are two statements : One is labelled as Assertion (A) and other is labelled as Reason (R). Assertion (A) : Time period of oscillation of a...
JEE Main 2022 (Online) 29th July Morning Shift
A travelling microscope has 20 divisions per $$\mathrm{cm}$$ on the main scale while its vernier scale has total 50 divisions and 25 vernier scale div...
JEE Main 2022 (Online) 29th July Morning Shift
In an experiment to find out the diameter of wire using screw gauge, the following observations were noted : (A) Screw moves $$0.5 \mathrm{~mm}$$ on ...
JEE Main 2022 (Online) 28th July Evening Shift
Consider the efficiency of carnot's engine is given by $$\eta=\frac{\alpha \beta}{\sin \theta} \log_e \frac{\beta x}{k T}$$, where $$\alpha$$ and $$\b...
JEE Main 2022 (Online) 28th July Morning Shift
The dimensions of $$\left(\frac{\mathrm{B}^{2}}{\mu_{0}}\right)$$ will be : (if $$\mu_{0}$$ : permeability of free space and $$B$$ : magnetic field)...
JEE Main 2022 (Online) 27th July Evening Shift
An expression of energy density is given by $$u=\frac{\alpha}{\beta} \sin \left(\frac{\alpha x}{k t}\right)$$, where $$\alpha, \beta$$ are constants, ...
JEE Main 2022 (Online) 27th July Morning Shift
A torque meter is calibrated to reference standards of mass, length and time each with $$5 \%$$ accuracy. After calibration, the measured torque with ...
JEE Main 2022 (Online) 26th July Evening Shift
In a Vernier Calipers, 10 divisions of Vernier scale is equal to the 9 divisions of main scale. When both jaws of Vernier calipers touch each other, t...
JEE Main 2022 (Online) 26th July Morning Shift
A screw gauge of pitch $$0.5 \mathrm{~mm}$$ is used to measure the diameter of uniform wire of length $$6.8 \mathrm{~cm}$$, the main scale reading is ...
JEE Main 2022 (Online) 25th July Evening Shift
The maximum error in the measurement of resistance, current and time for which current flows in an electrical circuit are $$1 \%, 2 \%$$ and $$3 \%$$ ...
JEE Main 2022 (Online) 25th July Morning Shift
If momentum [P], area $$[\mathrm{A}]$$ and time $$[\mathrm{T}]$$ are taken as fundamental quantities, then the dimensional formula for coefficient of ...
JEE Main 2022 (Online) 30th June Morning Shift
If n main scale divisions coincide with (n + 1) vernier scale divisions. The least count of vernier callipers, when each centimetre on the main scale ...
JEE Main 2022 (Online) 27th June Evening Shift
The SI unit of a physical quantity is pascal-second. The dimensional formula of this quantity will be :
JEE Main 2022 (Online) 27th June Morning Shift
A silver wire has a mass (0.6 $$\pm$$ 0.006) g, radius (0.5 $$\pm$$ 0.005) mm and length (4 $$\pm$$ 0.04) cm. The maximum percentage error in the meas...
JEE Main 2022 (Online) 26th June Evening Shift
The dimension of mutual inductance is :
JEE Main 2022 (Online) 26th June Morning Shift
An expression for a dimensionless quantity P is given by $$P = {\alpha \over \beta }{\log _e}\left( {{{kt} \over {\beta x}}} \right)$$; where $$\alph...
JEE Main 2022 (Online) 25th June Morning Shift
If $$Z = {{{A^2}{B^3}} \over {{C^4}}}$$, then the relative error in Z will be :
JEE Main 2022 (Online) 24th June Evening Shift
Identify the pair of physical quantities that have same dimensions:
JEE Main 2022 (Online) 24th June Morning Shift
Identify the pair of physical quantities which have different dimensions:
JEE Main 2021 (Online) 1st September Evening Shift
A student determined Young's Modulus of elasticity using the formula $$Y = {{Mg{L^3}} \over {4b{d^3}\delta }}$$. The value of g is taken to be 9.8 m/s...
JEE Main 2021 (Online) 31st August Evening Shift
If velocity [V], time [T] and force [F] are chosen as the base quantities, the dimensions of the mass will be :
JEE Main 2021 (Online) 31st August Morning Shift
Match List - I with List - II. List - I List - II (a) Torque (i) MLT$$^{ - 1}$$ (b) Impuls...
JEE Main 2021 (Online) 31st August Morning Shift
Which of the following equations is dimensionally incorrect?Where t = time, h = height, s = surface tension, $$\theta$$ = angle, $$\rho$$ = density, a...
JEE Main 2021 (Online) 27th August Evening Shift
Match List - I with List - II. List - I List - II (a) $${R_H}$$ (Rydberg constant) (i) $$kg\,{m^{ - 1}}{...
JEE Main 2021 (Online) 27th August Evening Shift
If force (F), length (L) and time (T) are taken as the fundamental quantities. Then what will be the dimension of density :
JEE Main 2021 (Online) 27th August Morning Shift
Which of the following is not a dimensionless quantity?
JEE Main 2021 (Online) 27th August Morning Shift
If E and H represents the intensity of electric field and magnetising field respectively, then the unit of E/H will be :
JEE Main 2021 (Online) 26th August Evening Shift
Match List - I with List - II Choose the most appropriate answer from the options given below :...
JEE Main 2021 (Online) 26th August Evening Shift
If the length of the pendulum in pendulum clock increases by 0.1%, then the error in time per day is :
JEE Main 2021 (Online) 26th August Morning Shift
In a Screw Gauge, fifth division of the circular scale coincides with the reference line when the ratchet is closed. There are 50 divisions on the cir...
JEE Main 2021 (Online) 26th August Morning Shift
If E, L, M and G denote the quantities as energy, angular momentum, mass and constant of gravitation respectively, then the dimensions of P in the for...
JEE Main 2021 (Online) 27th July Evening Shift
A physical quantity 'y' is represented by the formula $$y = {m^2}{r^{ - 4}}{g^x}{l^{ - {3 \over 2}}}$$If the percentage errors found in y, m, r, l and...
JEE Main 2021 (Online) 27th July Morning Shift
Assertion A : If in five complete rotations of the circular scale, the distance travelled on main scale of the screw gauge is 5 mm and there are 50 to...
JEE Main 2021 (Online) 25th July Evening Shift
The force is given in terms of time t and displacement x by the equation F = A cos Bx + C sin DtThe dimensional formula of $${{AD} \over B}$$ is :...
JEE Main 2021 (Online) 20th July Evening Shift
If time (t), velocity (v), and angular momentum (l) are taken as the fundamental units. Then the dimension of mass (m) in terms of t, v and l is :
JEE Main 2021 (Online) 17th March Morning Shift
The vernier scale used for measurement has a positive zero error of 0.2 mm. If while taking a measurement it was noted that '0' on the vernier scale l...
JEE Main 2021 (Online) 16th March Evening Shift
In order to determine the Young's Modulus of a wire of radius 0.2 cm (measured using a scale of least count = 0.001 cm) and length 1m (measured using ...
JEE Main 2021 (Online) 16th March Morning Shift
One main scale division of a vernier callipers is 'a' cm and nth division of the vernier scale coincide with (n $$-$$ 1)th division of the main scale....
JEE Main 2021 (Online) 26th February Evening Shift
If 'C' and 'V' represent capacity and voltage respectively then what are the dimensions of $$\lambda$$ where C/V = $$\lambda$$ ?
JEE Main 2021 (Online) 26th February Morning Shift
In a typical combustion engine the workdone by a gas molecule is given by $$W = {\alpha ^2}\beta {e^{{{ - \beta {x^2}} \over {kT}}}}$$, where x is the...
JEE Main 2021 (Online) 25th February Evening Shift
If e is the electronic charge, c is the speed of light in free space and h is Planck's constant, the quantity $${1 \over {4\pi {\varepsilon _0}}}{{|e{...
JEE Main 2021 (Online) 25th February Morning Shift
Match List - I with List - II : List I List II (a) h (Planck's constant) (i) $$[ML{T^{ - 1}}]$$ ...
JEE Main 2021 (Online) 25th February Morning Shift
The pitch of the screw gauge is 1 mm and there are 100 divisions on the circular scale. When nothing is put in between the jaws, the zero of the circu...
JEE Main 2021 (Online) 24th February Morning Shift
The work done by a gas molecule in an isolated system is given by, $$W = \alpha {\beta ^2}{e^{ - {{{x^2}} \over {\alpha kT}}}}$$, where x is the displ...
JEE Main 2020 (Online) 6th September Evening Slot
A student measuring the diameter of a pencil of circular cross-section with the help of a vernier scale records the following four readings 5.50 mm, 5...
JEE Main 2020 (Online) 6th September Morning Slot
A screw gauge has 50 divisions on its circular scale. The circular scale is 4 units ahead of the pitch scale marking, prior to use. Upon one complete ...
JEE Main 2020 (Online) 5th September Evening Slot
The quantities x = $${1 \over {\sqrt {{\mu _0}{\varepsilon _0}} }}$$, y = $${E \over B}$$ and z = $${l \over {CR}}$$ are defined where C-capacitance, ...
JEE Main 2020 (Online) 5th September Morning Slot
A physical quantity z depends on four observables a, b, c and d, as z = $${{{a^2}{b^{{2 \over 3}}}} \over {\sqrt c {d^3}}}$$. The percentages of error...
JEE Main 2020 (Online) 4th September Evening Slot
A quantity x is given by $$\left( {{{IF{v^2}} \over {W{L^4}}}} \right)$$ in terms of moment of inertia I, force F, velocity v, work W and Length L. Th...
JEE Main 2020 (Online) 4th September Morning Slot
Dimensional formula for thermal conductivity is (here K denotes the temperature):
JEE Main 2020 (Online) 3rd September Evening Slot
Amount of solar energy received on the earth’s surface per unit area per unit time is defined a solar constant. Dimension of solar constant is :
JEE Main 2020 (Online) 3rd September Morning Slot
Using screw gauge of pitch 0.1 cm and 50 divisions on its circular scale, the thickness of an object is measured. It should correctly be recorded as
JEE Main 2020 (Online) 2nd September Evening Slot
If momentum (P), area (A) and time (T) are taken to be the fundamental quantities then the dimensional formula for energy is
JEE Main 2020 (Online) 2nd September Morning Slot
If speed V, area A and force F are chosen as fundamental units, then the dimension of Young’s modulus will be
JEE Main 2020 (Online) 2nd September Morning Slot
The least count of the main scale of a vernier callipers is 1 mm. Its vernier scale is divided into 10 divisions and coincide with 9 divisions of the ...
JEE Main 2020 (Online) 9th January Evening Slot
For the four sets of three measured physical quantities as given below. Which of the following options is correct ? (i) A1 = 24.36, B1 = 0.0724, C1 = ...
JEE Main 2020 (Online) 9th January Morning Slot
A quantity f is given by $$f = \sqrt {{{h{c^5}} \over G}} $$ where c is speed of light, G universal gravitational constant and h is the Planck's const...
JEE Main 2020 (Online) 9th January Morning Slot
If the screw on a screw-gauge is given six rotations, it moves by 3 mm on the main scale. If there are 50 divisions on the circular scale the least co...
JEE Main 2020 (Online) 8th January Morning Slot
The dimension of stopping potential V0 in photoelectric effect in units of Planck's constant 'h', speed of light 'c' and Gravitational constant 'G' an...
JEE Main 2020 (Online) 7th January Evening Slot
The dimension of $${{{B^2}} \over {2{\mu _0}}}$$, where B is magnetic field and $${{\mu _0}}$$ is the magnetic permeability of vacuum, is :
JEE Main 2019 (Online) 12th April Morning Slot
Which of the following combinations has the dimension of electrical resistance ($$ \in $$0 is the permittivity of vacuum and $$\mu $$0 is the permeabi...
JEE Main 2019 (Online) 10th April Evening Slot
In the formula X = 5YZ2 , X and Z have dimensions of capacitance and magnetic field, respectively. What are the dimensions of Y in SI units?...
JEE Main 2019 (Online) 9th April Evening Slot
The area of a square is 5.29 cm2. The area of 7 such squares taking into account the significant figures is :-
JEE Main 2019 (Online) 9th April Morning Slot
In the density measurement of a cube, the mass and edge length are measured as (10.00 ± 0.10) kg and (0.10 ± 0.01) m, respectively. The error in the m...
JEE Main 2019 (Online) 8th April Evening Slot
In a simple pendulum experiment for determination of acceleration due to gravity (g), time taken for 20 oscillations is measured by using a watch of 1...
JEE Main 2019 (Online) 8th April Evening Slot
If surface tension (S), Moment of inertia (I) and Planck's constant (h), were to be taken as the fundamental units, the dimensional formula for linear...
JEE Main 2019 (Online) 8th April Morning Slot
In SI units, the dimesions of $$\sqrt {{{{ \in _0}} \over {{\mu _0}}}} $$ is :
JEE Main 2019 (Online) 12th January Evening Slot
Let $$\ell $$, r, C and V represent inductance, resistance, capacitance and voltage, respectively. The dimension of $${\ell \over {rCV}}$$ in SI unit...
JEE Main 2019 (Online) 12th January Morning Slot
The least count of the main scale of a screw gauge is 1 mm. The minimum number of divisions on its circular scale required to measure 5 $$\mu $$m diam...
JEE Main 2019 (Online) 11th January Evening Slot
If speed (V), acceleration (A) and force (F) are considered as fundamental units, the dimension of Young,s modulus will be:
JEE Main 2019 (Online) 11th January Morning Slot
The force of interaction between two atoms is given by F = $$\alpha $$$$\beta $$exp $$\left( { - {{{x^2}} \over {\alpha kt}}} \right)$$; where x is t...
JEE Main 2019 (Online) 10th January Evening Slot
The diameter and height of a cylinder are measured by a meter scale to be 12.6 $$ \pm $$ 0.1 cm and 34.2 $$ \pm $$ 0.1 cm, respectively. What will be ...
JEE Main 2019 (Online) 10th January Morning Slot
The density of a material in SI units is 128 kg m–3 . In certain units in which the unit of length is 25 cm and the unit of mass is 50 g, the numerica...
JEE Main 2019 (Online) 9th January Evening Slot
Expression for time in terms of G(universal gravitional constant), h (Planck constant) and c (speed of light) is proportional to :
JEE Main 2019 (Online) 9th January Evening Slot
The pitch and the number of divisions, on the circular scale, for a given screw gauge are 0.5 mm and 100 respectively. When the screw gauge is fully ...
JEE Main 2019 (Online) 9th January Morning Slot
A copper wire is stretched to make it 0.5% longer. The percentage change in its electrical resistance if its volume remains unchanged is :
JEE Main 2018 (Online) 16th April Morning Slot
The percentage errors in quantities P, Q, R and S are 0.5%, 1%, 3% and 1.5% respectively in the measurement of a physical quantity A = $${{{P^3}{Q^2}}...
JEE Main 2018 (Online) 16th April Morning Slot
The relative uncertainly in the period of a satellite orbiting around the earth is 10-2. If the relative uncertainty in the radius of the orbit is neg...
JEE Main 2018 (Offline)
The density of a material in the shape of a cube is determined by measuring three sides of the cube and its mass. If the relative errors in measuring ...
JEE Main 2018 (Online) 15th April Evening Slot
The characteristic distance at which quantum gravitational effects are significant, the Planck length, can be determined from a suitable combination o...
JEE Main 2018 (Online) 15th April Morning Slot
The relative error in the determination of the surface area of sphere is $$\alpha $$. Then the relative error in the determination of its volume is :
JEE Main 2018 (Online) 15th April Morning Slot
In a screw gauge, $$5$$ complete rotations of the screw cause it to move a linear distance of $$0.25$$ $$cm.$$ There are $$100$$ circular scale divisi...
JEE Main 2017 (Online) 9th April Morning Slot
A physical quantity P is described by the relation P = a$$^{{\raise0.5ex\hbox{$\scriptstyle 1$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptsty...
JEE Main 2017 (Online) 8th April Morning Slot
Time (T), velocity (C) and angular momentum (h) are chosen as fundamentalquantities instead of mass, length and time. In terms of these, the dimension...
JEE Main 2017 (Offline)
The following observations were taken for determining surface tension T of water by capillary method: diameter of capillary, D = 1.25 $$\times$$ 10-2 ...
JEE Main 2016 (Online) 9th April Morning Slot
In the following ‘I’ refers to current and other symbols have their usual meaning. Choose the option that corresponds to the dimensions of electrical ...
JEE Main 2016 (Offline)
A student measures the time period of 100 oscillations of a simple pendulum four times. The data set is 90 s, 91 s, 95 s and 92 s. If the minimum divi...
JEE Main 2016 (Offline)
A screw gauge with a pitch of 0.5 mm and a circular scale with 50 divisions is used to measure the thickness of a thin sheet of Aluminium. Before star...
JEE Main 2014 (Offline)
A student measured the length of a rod and wrote it as 3.50 cm. Which instrument did he use to measure it?
JEE Main 2013 (Offline)
Let [$${\varepsilon _0}$$] denote the dimensional formula of the permittivity of vacuum. If M = mass, L = length, T = time and A = electric current, t...
AIEEE 2012
Resistance of a given wire is obtained by measuring the current flowing in it and the voltage difference applied across it. If the percentage errors i...
AIEEE 2012
A spectrometer gives the following reading when used to measure the angle of a prism. Main scale reading: 58.5 degree Vernier scale reading : 09 divis...
AIEEE 2011
A screw gauge gives the following reading when used to measure the diameter of a wire. Main scale reading : 0 mm Circular scale reading : 52 divisions...
AIEEE 2010
The respective number of significant figures for the numbers 23.023, 0.0003 and 2.1 $$ \times $$ 10–3 are
AIEEE 2009
In an experiment the angles are required to be measured using an instrument, 29 divisions of the main scale exactly coincide with the 30 divisions of ...
AIEEE 2008
The dimension of magnetic field in M, L, T and C (coulomb) is given as
AIEEE 2008
A body of mass m = 3.513 kg is moving along the x-axis with a speed of 5.00 ms−1. The magnitude of its momentum is recorded as
AIEEE 2008
Two full turns of the circular scale of a screw gauge cover a distance of 1 mm on its main scale. The total number of divisions on the circular scale ...
AIEEE 2008
An experiment is performed to find the refractive index of glass using a travelling microscope. In this experiment distances are measured by
AIEEE 2005
Out of the following pair, which one does NOT have identical dimensions is
AIEEE 2004
Which one of the following represents the correct dimensions of the coefficient of viscosity?
AIEEE 2003
Dimensions of $${1 \over {{\mu _0}{\varepsilon _0}}}$$, where symbols have their usual meaning, are
AIEEE 2003
The physical quantities not having same dimensions are
AIEEE 2002
Identify the pair whose dimensions are equal

Numerical

JEE Main 2023 (Online) 30th January Morning Shift
In a screw gauge, there are 100 divisions on the circular scale and the main scale moves by $$0.5 \mathrm{~mm}$$ on a complete rotation of the circula...
JEE Main 2022 (Online) 28th July Evening Shift
In an experiment to find acceleration due to gravity (g) using simple pendulum, time period of $$0.5 \mathrm{~s}$$ is measured from time of 100 oscill...
JEE Main 2022 (Online) 27th July Morning Shift
The one division of main scale of Vernier callipers reads $$1 \mathrm{~mm}$$ and 10 divisions of Vernier scale is equal to the 9 divisions on main sca...
JEE Main 2022 (Online) 29th June Evening Shift
The Vernier constant of Vernier callipers is 0.1 mm and it has zero error of ($$-$$0.05) cm. While measuring diameter of a sphere, the main scale read...
JEE Main 2022 (Online) 28th June Evening Shift
A student in the laboratory measures thickness of a wire using screw gauge. The readings are 1.22 mm, 1.23 mm, 1.19 mm and 1.20 mm. The percentage err...
JEE Main 2022 (Online) 26th June Evening Shift
A travelling microscope is used to determine the refractive index of a glass slab. If 40 divisions are there in 1 cm on main scale and 50 Vernier scal...
JEE Main 2022 (Online) 26th June Morning Shift
In a vernier callipers, each cm on the main scale is divided into 20 equal parts. If tenth vernier scale division coincides with nineth main scale div...
JEE Main 2022 (Online) 25th June Evening Shift
For $$z = {a^2}{x^3}{y^{{1 \over 2}}}$$, where 'a' is a constant. If percentage error in measurement of 'x' and 'y' are 4% and 12% respectively, then ...
JEE Main 2021 (Online) 31st August Evening Shift
The diameter of a spherical bob is measured using a vernier callipers. 9 divisions of the main scale, in the vernier callipers, are equal to 10 divisi...
JEE Main 2021 (Online) 26th August Evening Shift
The acceleration due to gravity is found upto an accuracy of 4% on a planet. The energy supplied to a simple pendulum to known mass 'm' to undertake o...
JEE Main 2021 (Online) 25th July Morning Shift
Student A and student B used two screw gauges of equal pitch and 100 equal circular divisions to measure the radius of a given wire. The actual value ...
JEE Main 2021 (Online) 22th July Evening Shift
Three students S1, S2 and S3 perform an experiment for determining the acceleration due to gravity (g) using a simple pendulum. They use different len...
JEE Main 2021 (Online) 18th March Evening Shift
The radius of a sphere is measured to be (7.50 $$\pm$$ 0.85) cm. Suppose the percentage error in its volume is x. The value of x, to the nearest x, is...
JEE Main 2021 (Online) 16th March Morning Shift
The resistance R = $${V \over I}$$, where V = (50 $$\pm$$ 2)V and I = (20 $$\pm$$ 0.2)A. The percentage error in R is 'x'%. The value of 'x' to the ne...
JEE Main 2020 (Online) 6th September Morning Slot
The density of a solid metal sphere is determined by measuring its mass and its diameter. The maximum error in the density of the sphere is $$\left( {...

MCQ (More than One Correct Answer)

JEE Main 2016 (Online) 10th April Morning Slot
A, B, C and D are four different physical quantities having different dimensions. None of them is dimensionless. But we know that the equation AD = ...
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