Question 1: Palette 1/55

NEET 2026 MCQ

The speed of light in vacuum is taken as unity. If light takes 6 min 40 s to reach the Earth from the Sun, the distance between the Sun and the Earth in new unit is:

A

$3 \times 10^8$

B

500

C

$3 \times 10^{10}$

D

400

Question 2: Palette 2/55

NEET 2026 MCQ

Each side of a metallic cube of mass 5.580 kg is measured to the 9.0 cm . Keeping the significant figures in view, the density of the material of the cube can be best expressed as $X \times 10^3 \mathrm{~kg} \mathrm{~m}^{-3}$ where the value of $X$ is:

A

7.654

B

7.6

C

7.65

D

7.7

Question 3: Palette 3/55

NEET 2026 MCQ

In a vernier calliper, 20 VSD coincide with 16 MSD (each division of length 1 mm ). The least count of the vernier callipers is:

A

0.2 cm

B

0.01 cm

C

0.02 cm

D

0.1 cm

Question 4: Palette 4/55

NEET 2026 MCQ

Consider that $\sigma_s, k_B, b$ represents Stefan-Boltzmann constant, Boltzmann constant and Wien's displacement law constant, respectively. The dimension of $\sigma_s k_B^{-1} b$ is

A

$\left[\mathrm{L}^{-1} \mathrm{~T}^{-1} \mathrm{~K}^{-4}\right]$

B

$\left[\mathrm{L}^{-1} \mathrm{~T}^{-1} \mathrm{~K}^{-2}\right]$

C

$\left[\mathrm{L}^{-1} \mathrm{~K}^{-2}\right]$

D

$\left[\mathrm{L}^{-1} \mathrm{~T}^{-1} \mathrm{~K}^{-3}\right]$

Question 5: Palette 5/55

NEET 2026 MCQ

One main scale division of a Vernier calliper is equal to 1 mm and the number of divisions on the Vernier scale is 10 . When both the jaws touch each other, the Vernier scale shifts to the left of zero of the main scale in such a way that $4^{\text {th }}$ Vernier division coincides with a division of the main scale. If this Vernier calliper measures the length of the wire to be 1 cm , the actual length of the wire is :

A

1.04 cm

B

0.60 cm

C

0.96 cm

D

1.00 cm

Question 6: Palette 6/55

NEET 2025 MCQ

A balloon is made of a material of surface tension $S$ and its inflation outlet (from where gas is filled in it) has small area $A$. It is filled with a gas of density $\rho$ and takes a spherical shape of radius $R$. When the gas is allowed to flow freely out of it, its radius $r$ changes from $R$ to 0 (zero) in time $T$. If the speed $v(r)$ of gas coming out of the balloon depends on $r$ as $r^\alpha$ and $T \propto S^\alpha A^\beta \rho^\gamma R^\delta$ then

A

$a=-\frac{1}{2}, \alpha=-\frac{1}{2}, \beta=-1, \gamma=\frac{1}{2}, \delta=\frac{7}{2}$

B

$a=\frac{1}{2}, \alpha=\frac{1}{2}, \beta=-\frac{1}{2}, \gamma=\frac{1}{2}, \delta=\frac{7}{2}$

C

$a=\frac{1}{2}, \alpha=\frac{1}{2}, \beta=-1, \gamma=+1, \delta=\frac{3}{2}$

D

$a=-\frac{1}{2}, \alpha=-\frac{1}{2}, \beta=-1, \gamma=-\frac{1}{2}, \delta=\frac{5}{2}$

Question 7: Palette 7/55

NEET 2025 MCQ

A physical quantity $P$ is related to four observations $a, b, c$ and $d$ as follows:

$P=a^3 b^2 / c \sqrt{d}$

The percentage errors of measurement in $a, b, c$ and $d$ are $1 \%, 3 \%, 2 \%$, and $4 \%$ respectively. The percentage error in the quantity $P$ is

A

$13 \%$

B

$15 \%$

C

$10 \%$

D

$2 \%$

Question 8: Palette 8/55

NEET 2025 MCQ

Consider the diameter of a spherical object being measured with the help of a Vernier callipers. Suppose its 10 Vernier Scale Divisions (V.S.D.) are equal to its 9 Main Scale Divisions (M.S.D.). The least division in the M.S. is 0.1 cm and the zero of V.S. is at $x=0.1 \mathrm{~cm}$ when the jaws of Vernier callipers are closed. If the main scale reading for the diameter is $M=5 \mathrm{~cm}$ and the number of coinciding vernier division is 8 , the measured diameter after zero error correction, is

A

  4.98 cm

B

5.00 cm

C

5.18 cm

D

5.08 cm

Question 9: Palette 9/55

NEET 2024 MCQ

In an electrical circuit, the voltage is measured as $V=(200 \pm 4)$ volt and the current is measured as $I=(20 \pm 0.2)$ A. The value of the resistance is:

A

$(10 \pm 4.2) \Omega$

B

$(10 \pm 0.3) \Omega$

C

$(10 \pm 0.1) \Omega$

D

$(10 \pm 0.8) \Omega$

Question 10: Palette 10/55

NEET 2024 MCQ

The pitch of an error free screw gauge is $1 \mathrm{~mm}$ and there are 100 divisions on the circular scale. While measuring the diameter of a thick wire, the pitch scale reads $1 \mathrm{~mm}$ and $63^{\text {rd }}$ division on the circular scale coincides with the reference line. The diameter of the wire is:

A

$1.63 \mathrm{~cm}$

B

$0.163 \mathrm{~cm}$

C

$0.163 \mathrm{~m}$

D

$1.63 \mathrm{~m}$

Question 11: Palette 11/55

NEET 2024 MCQ

The potential energy of a particle moving along $x$-direction varies as $V=\frac{A x^2}{\sqrt{x}+B}$. The dimensions of $\frac{A^2}{B}$ are:

A

$\left[\mathrm{M}^{3 / 2} \mathrm{~L}^{1 / 2} \mathrm{~T}^{-3}\right]$

B

$\left[\mathrm{M}^{1 / 2} \mathrm{LT}^{-3}\right]$

C

$\left[M^2 L^{1 / 2} T^{-4}\right]$

D

$\left[\mathrm{ML}^2 \mathrm{~T}^{-4}\right]$

Question 12: Palette 12/55

NEET 2024 MCQ

In a vernier callipers, $(N+1)$ divisions of vernier scale coincide with $N$ divisions of main scale. If $1 \mathrm{~MSD}$ represents $0.1 \mathrm{~mm}$, the vernier constant (in $\mathrm{cm}$) is:

A

$\frac{1}{10 \mathrm{~N}}$

B

$\frac{1}{100(N+1)}$

C

$00 \mathrm{~N}$

D

$10(N+1)$

Question 13: Palette 13/55

NEET 2024 MCQ

The quantities which have the same dimensions as those of solid angle are:

A

strain and angle

B

stress and angle

C

strain and arc

D

angular speed and stress

Question 14: Palette 14/55

NEET 2024 MCQ

A force defined by $F=\alpha t^2+\beta t$ acts on a particle at a given time $t$. The factor which is dimensionless, if $\alpha$ and $\beta$ are constants, is:

A

$\beta t / \alpha$

B

$\alpha t / \beta$

C

$\alpha \beta t$

D

$\alpha \beta / t$

Question 15: Palette 15/55

NEET 2023 MCQ

The diameter of a spherical bob, when measured with vernier callipers yielded the following values : $3.33 \mathrm{~cm}, 3.32 \mathrm{~cm}, 3.34 \mathrm{~cm}, 3.33 \mathrm{~cm}$ and $3.32 \mathrm{~cm}$. The mean diameter to appropriate significant figures is :

A

$3.328 \mathrm{~cm}$

B

$3.3 \mathrm{~cm}$

C

$3.33 \mathrm{~cm}$

D

$3.32 \mathrm{~cm}$

Question 16: Palette 16/55

NEET 2023 MCQ

The mechanical quantity, which has dimensions of reciprocal of mass $(\mathrm{M}^{-1})$ is :

A

angular momentum

B

coefficient of thermal conductivity

C

torque

D

gravitational constant

Question 17: Palette 17/55

NEET 2023 MCQ

The errors in the measurement which arise due to unpredictable fluctuations in temperature and voltage supply are :

A

Personal errors

B

Least count errors

C

Random errors

D

Instrumental errors

Question 18: Palette 18/55

NEET 2023 MCQ

A metal wire has mass $(0.4 \pm 0.002) ~\mathrm{g}$, radius $(0.3 \pm 0.001) ~\mathrm{mm}$ and length $(5 \pm 0.02) ~\mathrm{cm}$. The maximum possible percentage error in the measurement of density will nearly be :

A

1.3%

B

1.6%

C

1.4%

D

1.2%

Question 19: Palette 19/55

NEET 2022 MCQ

The physical quantity that has the same dimensional formula as pressure is

A

Coefficient of viscosity

B

Force

C

Momentum

D

Young's modulus of elasticity

Question 20: Palette 20/55

NEET 2022 MCQ

The percentage error in the measurement of g is : (Given that $g = {{4{\pi ^2}L} \over {{T^2}}}$, $L = (10\, \pm \,0.1)$ cm, $T = (100\, \pm \,1)$ s)

A

7%

B

2%

C

5%

D

3%

Question 21: Palette 21/55

NEET 2022 MCQ

The dimensions [MLT^$-$2A^$-$2] belong to the

A

Magnetic flux

B

Self inductance

C

Magnetic permeability

D

Electric permittivity

Question 22: Palette 22/55

NEET 2022 MCQ

Plane angle and solid angle have

A

Units but no dimensions

B

Dimensions but no units

C

No units and no dimensions

D

Both units and dimensions

Question 23: Palette 23/55

NEET 2022 MCQ

The area of a rectangular field (in m²) of length 55.3 m and breadth 25 m after rounding off the value for correct significant digits is

A

138 $\times$ 10¹

B

1382

C

1382.5

D

14 $\times$ 10²

Question 24: Palette 24/55

NEET 2021 MCQ

The E and G respectively denote energy and gravitational constant, then ${E \over G}$ has the dimensions of :

A

[M²] [L^$-$2] [T^$-$1]

B

[M²] [L^$-$1] [T⁰]

C

[M] [L^$-$1] [T^$-$1]

D

[M] [L⁰] [T⁰]

Question 25: Palette 25/55

NEET 2021 MCQ

A screw gauge gives the following readings when used to measure the diameter of a wire

Main scale reading : 0 mm

Circular scale reading : 52 divisions

Given that 1 mm on main scale corresponds to 100 divisions on the circular scale. The diameter of the wire from the above data is :

A

0.052 cm

B

0.52 cm

C

0.026 cm

D

0.26 cm

Question 26: Palette 26/55

NEET 2021 MCQ

If force [F], acceleration [A] and time [T] are chosen as the fundamental physical quantities. Find the dimensions of energy.

A

[F] [A^$-$1] [T]

B

[F] [A] [T]

C

[F] [A] [T²]

D

[F] [A] [T^$-$1]

Question 27: Palette 27/55

NEET 2020 MCQ

A screw gauge has least count of 0.01 mm and there are 50 divisions in its circular scale.
The pitch of the screw gauge is :

A

0.25 mm

B

0.5 mm

C

1.0 mm

D

0.01 mm

Question 28: Palette 28/55

NEET 2020 MCQ

Taking into account of the significant figures, what is the value of $9.99 m - 0.0099m$?

A

9.98 m

B

9.980 m

C

9.9 m

D

9.9801 m

Question 29: Palette 29/55

NEET 2020 MCQ

Dimensions of stress are :

A

$\left[ {M{L^{ 2}}{T^{ - 2}}} \right]$

B

$\left[ {M{L^{ 0}}{T^{ - 2}}} \right]$

C

$\left[ {M{L^{ - 1}}{T^{ - 2}}} \right]$

D

$\left[ {M{L^{}}{T^{ - 2}}} \right]$

Question 30: Palette 30/55

NEET 2020 MCQ

The energy required to break one bond in DNA is 10^-20 J. This value in eV is nearly :

A

0.6

B

0.06

C

0.006

D

6

Question 31: Palette 31/55

NEET 2019 MCQ

In an experiment, the percentage of error occurred in the measurement of physical quantities A, B, C and D are 1%, 2 %, 3 %and 4 % respectively. Then the maximum percentage of error in the measurement X, where
X = ${{{A^2}{B^{1/2}}} \over {{C^{1/3}}{D^3}}}$, will be :

A

16%

B

-10%

C

10%

D

$\left( {{3 \over {13}}} \right)$%

Question 32: Palette 32/55

NEET 2018 MCQ

A student measured the diameter of a small steel ball using a screw gauge of least count 0.001 cm. The main scale reading is 5 mm and zero of circular scale division coincides with 25 divisions above the reference level. If screw gauge has a zero error of –0.004 cm, the correct diameter of the ball is

A

0.521 cm

B

0.525 cm

C

0.053 cm

D

0.529 cm

Question 33: Palette 33/55

NEET 2017 MCQ

A physical quantity of the dimensions of length that can be formed out of c, G and ${{{e^2}} \over {4\pi {\varepsilon _0}}}$ is [c is velocity of light, G is the universal constant of gravitation and e is charge]

A

${c^2}{\left[ {G - {{{e^2}} \over {4\pi {\varepsilon _0}}}} \right]^{1/2}}$

B

${1 \over {{c^2}}}{\left[ {{{{e^2}} \over {G\,4\pi {\varepsilon _0}}}} \right]^{1/2}}$

C

${1 \over c}G{{{e^2}} \over {\,4\pi {\varepsilon _0}}}$

D

${1 \over {{c^2}}}{\left[ {G{{{e^2}} \over {\,4\pi {\varepsilon _0}}}} \right]^{1/2}}$

Question 34: Palette 34/55

NEET 2016 MCQ

Planck's constant (h), speed of light in vacuum (c) and Newton's gravitional constant (G) are three fundamental constants. Which of the following combinations of these has the dimension of length ?

A

${{\sqrt {hG} } \over {{c^{3/2}}}}$

B

${{\sqrt {hG} } \over {{c^{5/2}}}}$

C

$\sqrt {{{hc} \over G}} $

D

$\sqrt {{{Gc} \over {{h^{3/2}}}}} $

Question 35: Palette 35/55

NEET 2015 MCQ

If dimensions of critical velocity $\upsilon $_c of a liquid flowing through a tube are expressed as $\left[ {{\eta ^x}{\rho ^y}{r^z}} \right]$ where $\eta ,\rho $ and r are the coefficient of viscosity of liquid, density of liquid and radius of the tube respectively, then the values of x, y and z are given by

A

$-$1, $-$1, $-$1

B

1, 1, 1

C

1, $-$1, $-$1

D

$-$1, $-$1, 1

Question 36: Palette 36/55

NEET 2015 MCQ

If energy (E), velocity (V) and time (T) are chosen as the fundamental quantities, the dimensional formula of surface tension will be

A

$\left[ {E{V^{ - 2}}{T^{ - 2}}} \right]$

B

$\left[ {{E^{ - 2}}{V^{ - 1}}{T^{ - 3}}} \right]$

C

$\left[ {E{V^{ - 2}}{T^{ - 1}}} \right]$

D

$\left[ {E{V^{ - 1}}{T^{ - 2}}} \right]$

Question 37: Palette 37/55

NEET 2014 MCQ

If force (F), velocity (V) and time (T) are taken as fundamental units, then dimensions of mass are

A

$\left[ {FV{T^{ - 1}}} \right]$

B

$\left[ {FV{T^{ - 2}}} \right]$

C

$\left[ {F{V^{ - 1}}{T^{ - 1}}} \right]$

D

$\left[ {F{V^{ - 1}}T} \right]$

Question 38: Palette 38/55

NEET 2013 MCQ

The pair of quantities having same dimensions is

A

Impulse and Surface Tension

B

Angular momentum and Work

C

Work and Torque

D

Young's modulus and Energy

Question 39: Palette 39/55

NEET 2013 MCQ

If an experiment four quantities a, b, c and d are measured with percentage error 1%, 2%, 3% and 4% respectively.

Quantity P is calculated as follows P $ = {{{a^3}{b^2}} \over {cd}}$ % error in P is

A

7%

B

4%

C

14%

D

10%

Question 40: Palette 40/55

NEET 2012 MCQ

The dimensions of ${\left( {{\mu _0}{\varepsilon _0}} \right)^{ - 1/2}}$ are

A

$\left[ {{L^{1/2}}{T^{ - 1/2}}} \right]$

B

$\left[ {{L^{ - 1}}T} \right]$

C

$\left[ {L{T^{ - 1}}} \right]$

D

$\left[ {{L^{1/2}}{T^{1/2}}} \right]$

Question 41: Palette 41/55

NEET 2012 MCQ

The damping force on an oscillator is directly proportional to the velocity. The units of the constant of proportionality are

A

kg m s^$-$1

B

kg m s^$-$2

C

kg s^$-$1

D

kg s

Question 42: Palette 42/55

NEET 2011 MCQ

The density of a material in CGS system of units is 4 g cm^$-$3. In a system of units in which unit of length is 10 cm and unit of mass is 100 g, the value of density of material will be

A

0.04

B

0.4

C

40

D

400

Question 43: Palette 43/55

NEET 2011 MCQ

The dimensions of ${\left( {{\mu _0}{\varepsilon _0}} \right)^{ - 1/2}}$ are

A

$\left[ {{L^{1/2}}{T^{ - 1/2}}} \right]$

B

$\left[ {{L^{ - 1}}T} \right]$

C

$\left[ {L{T^{ - 1}}} \right]$

D

$\left[ {{L^{1/2}}{T^{1/2}}} \right]$

Question 44: Palette 44/55

NEET 2010 MCQ

A student measures the distance traversed in free fall of a body, initially at rest, in a given time. He uses this data to estimate g, the acceleration due to gravity. If the maximum percentage errors in measurement of the distance and the time are e₁ and e₂ respectively, the percentage error in the estimation of g is

A

e₂ $-$ e₁

B

e₁ + 2e₂

C

e₁ + e₂

D

e₁ $-$ 2e₂

Question 45: Palette 45/55

NEET 2010 MCQ

The dimension of ${1 \over 2}{\varepsilon _0}{E^2}$, where ${\varepsilon _0}$ is permittivity of free space and E is electric field, is

A

ML²T^$-$2

B

ML^$-$1T^$-$2

C

ML²T^$-$1

D

MLT^$-$1

Question 46: Palette 46/55

NEET 2009 MCQ

If the dimensions of a physical quantity are given by M^aL^bT^c, then the physical quantity will be

A

velocity if   a = 1, b = 0, c = $-$1

B

acceleration if   a = 1, b = 1, c = $-$2

C

force if   a = 0, b = $-$1, c = $-$2

D

pressure if   a = 1, b = $-$1, c = $-$2

Question 47: Palette 47/55

NEET 2008 MCQ

If the error in the measurement of radius of a sphere is 2%, then the error in the determination of volume of the sphere will be

A

8%

B

2%

C

4%

D

6%

Question 48: Palette 48/55

NEET 2008 MCQ

Which two of the following five physical parameters have the same dimensions ?
1.  Energy density
2.  Refractive index
3.  Dielectric constant
4.  Young's modulus
5.  Magnetic field

A

1 and 4

B

1 and 5

C

2 and 4

D

3 and 5

Question 49: Palette 49/55

NEET 2007 MCQ

Dimensions of resistance in an electrical circuit, in terms of dimension of mass M, of length L, of time T and of current I, would be

A

[ML²T^$-$2]

B

[ML²T^$-$1I^$-$1]

C

[ML²T^$-$3I^$-$2]

D

[ML²T^$-$3I^$-$1]

Question 50: Palette 50/55

NEET 2006 MCQ

The velocity v of a particle at time t is given by v = at + ${b \over {t + c}}$, where a, b and c are constants. The dimensions of a, b and c are

A

[L], [LT] and [LT^$-$2]

B

[LT^$-$2], [L] and [T]

C

[L²], [T] and [LT^$-$2]

D

[LT^$-$2], and [LT] and [L]

Question 51: Palette 51/55

NEET 2005 MCQ

The ratio of the dimensions of Planck's constant and that of moment of inertia is the dimensions of

A

time

B

frequency

C

angular momentum

D

velocity

Question 52: Palette 52/55

NEET 2004 MCQ

The dimensions of universal gravitational constant are

A

[M^$-$1L³T^$-$2]

B

[ML²T^$-$1]

C

[M^$-$2L³T^$-$2]

D

[M^$-$2L²T^$-$1]

Question 53: Palette 53/55

NEET 2004 MCQ

The unit of permittyvity of free space, ${\varepsilon _0}$, is

A

coulomb/newton-metre

B

newton-metre²/coulomb²

C

coulomb²/newton-metre²

D

coulomb²/(newton-metre)²

Question 54: Palette 54/55

NEET 2001 MCQ

The dimensions of Planck's constant equals to that of

A

energy

B

momentum

C

angular momentum

D

power

Question 55: Palette 55/55

NEET 2000 MCQ

Which pair do not have equal dimensions ?

A

Energy and torque

B

Force and impulse

C

Angular momentum and Planck constant

D

Elastic modulus and pressure.