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Units and Dimensions — NEET UG Physics PYQs

212 previous year questions from Units and Dimensions with answers and solutions. Numbered list, year tags, and one-tap solutions — built for serious JEE / NEET practice.

212 questionsPhysicsSolutions on every page
1

If the errors involved in the measurement of a side and the mass of a cube are 2 % and 4 % respectively, the maximum permissible error in the density of the material is

MHT CET Medical 2026 Solution View → 2

If the mass of the object is measured as m = (7 0.14) kg and the density is measured as = (5 0.25) kg/m ^3 respectively. The percentage error in the measurement of volume is

MHT CET Medical 2026 Solution View → 3

Consider that _s , k_B , b represent Stefan-Boltzmann constant, Boltzmann constant and Wien's displacement law constant, respectively. The dimension of _s k_B⁻¹b is :

NEET 2026 Solution View → 4

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 :

NEET 2026 Solution View → 5

Each side of a metallic cube of mass 5.580 kg is measured to be 9.0 cm. Keeping the significant figures in view, the density of the material of the cube can be best expressed as X

NEET 2026 Solution View → 6

A physical quantity P is related to four observations a, b, c and d as follows : P=a^3 b^2 / c d The percentage errors of measurement in a, b, c and d are 1 %, 3 %, 2 % and 4 % res

NEET 2025 Solution View → 7

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 and takes a sph

NEET 2025 Solution View → 8

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

NEET 2024 Solution View → 9

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

NEET 2024 Solution View → 10

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

NEET 2024 Solution View → 11

The mechanical quantity, which has dimensions of reciprocal of mass ( M ⁻¹ ) is

NEET 2023 Solution View → 12

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

NEET 2022 Solution View → 13

Plane angle and solid angle have:

NEET 2022 Solution View → 14

Match List - I with List - II : List - I List - II (a) Gravitational constant (G) (i) L 2   T - 2 (b) Gravitational potential energy (ii) M - 1   L 3   T - 2 (c) Gra

NEET 2022 Solution View → 15

The dimensions MLT A - 2 - 2 belong to the

NEET 2022 Solution View → 16

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

NEET 2021 Solution View → 17

If E and G respectively denote energy and gravitational constant, then E G has the dimensions of:

NEET 2021 Solution View → 18

Dimensions of stress are:

NEET 2020 Solution View → 19

What is the dimension of luminous flux?

AIIMS 2019 Solution View → 20

The only mechanical quantity which has negative dimension of mass is

AIIMS 2019 Solution View → 21

What is dimensions of energy in terms of linear momentum (P), area (A) and Time (T)

JIPMER 2019 Solution View → 22

If mass ( M ) , distance ( L ) and time ( T ) are fundamental quantities, then find dimension of torque.

JIPMER 2019 Solution View → 23

The unit of thermal conductivity is

NEET 2019 Solution View → 24

What is the dimension of luminous flux?

NEET 2019 Solution View → 25

The only mechanical quantity which has negative dimension of mass is

NEET 2019 Solution View → 26

If mass ( M ) , distance ( L ) and time ( T ) are fundamental quantities, then find dimension of torque.

NEET 2019 Solution View → 27

What is dimensions of energy in terms of linear momentum (P), area (A) and Time (T)

NEET 2019 Solution View → 28

What are the dimensions of A B in the relation F=A x +B t^2 , where F is the force, x is distance and t is time ?

AIIMS 2018 Solution View → 29

Suppose a quantity y can be dimensionally represented in terms of M, L and T, that is [y]= [ M ^a ~L ^b ~T ^c ] then M

AIIMS 2018 Solution View → 30

Dimension of force is

JIPMER 2018 Solution View → 31

What are the dimensions of A B in the relation F=A x +B t^2 , where F is the force, x is distance and t is time ?

NEET 2018 Solution View → 32

Suppose a quantity y can be dimensionally represented in terms of M, L and T, that is [y]= [ M ^a ~L ^b ~T ^c ] then M

NEET 2018 Solution View → 33

Dimension of force is

NEET 2018 Solution View → 34

Assertion : Power of a engine depends on mass, angular speed, torque and angular momentum, then the formula of power is not derived with the help of dimensional method. Reason : In

AIIMS 2017 Solution View → 35

A physical quantity of the dimensions of length that can be formed out of c ,   G and e 2 4 π ε 0 , where [ c is velocity of light, G is universal constant of gravit

NEET 2017 Solution View → 36

Assertion : Power of a engine depends on mass, angular speed, torque and angular momentum, then the formula of power is not derived with the help of dimensional method. Reason : In

NEET 2017 Solution View → 37

Planck's constant ( h ) , speed of light in a vacuum ( c ) and Newton's gravitational constant ( G ) are three fundamental constants. Which of the following combinations of these h

NEET 2016 Solution View → 38

If dimensions of critical velocity, v c of a liquid flowing through a tube are expressed as η x ρ y r z , where, η ,   ρ and r are the coefficient of visco

NEET 2015 Solution View → 39

If energy ( E ) , velocity ( V ) and time ( T ) are chosen as the fundamental quantities, the dimensional formula of surface tension will be___(For surface tension, Force=Surface t

NEET 2015 Solution View → 40

If the units of length, mass and force are chosen as fundamental units, the dimensions of time would be

AIIMS 2014 Solution View → 41

Match the following. array ll|l A. & Angular momentum & 1. [ M ⁻¹ ~L ^2 ~T ⁻² ] B. & Torque & 2. [ M ^1 ~T ⁻² ] C. & Gravitational constant & 3. [ M ^1 ~L ^2 ~T ⁻² ] D. & Tension &

JIPMER 2014 Solution View → 42

The angular amplitude of a simple pendulum is ₀ . The maximum tension in its string will be

JIPMER 2014 Solution View → 43

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

NEET 2014 Solution View → 44

If the units of length, mass and force are chosen as fundamental units, the dimensions of time would be

NEET 2014 Solution View → 45

Match the following. array ll|l A. & Angular momentum & 1. [ M ⁻¹ ~L ^2 ~T ⁻² ] B. & Torque & 2. [ M ^1 ~T ⁻² ] C. & Gravitational constant & 3. [ M ^1 ~L ^2 ~T ⁻² ] D. & Tension &

NEET 2014 Solution View → 46

The angular amplitude of a simple pendulum is ₀ . The maximum tension in its string will be

NEET 2014 Solution View → 47

Dimensional formula of angular momentum is

AIIMS 2013 Solution View → 48

A force F is given F=a t+b t^2 , where, t is time. What are the dimensions of a and b ?

JIPMER 2013 Solution View → 49

The pair of quantities having same dimensions is:

NEET 2013 Solution View → 50

Dimensional formula of angular momentum is

NEET 2013 Solution View → 51

A force F is given F=a t+b t^2 , where, t is time. What are the dimensions of a and b ?

NEET 2013 Solution View → 52

Dimensional formula of Q , heat supplied to the system is given by

AIIMS 2012 Solution View → 53

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

NEET 2012 Solution View → 54

The dimensions of ( ₀ ₀ )^ -1 / 2 are

NEET 2012 Solution View → 55

Dimensional formula of Q , heat supplied to the system is given by

NEET 2012 Solution View → 56

What is the dimensions of magnetic field B in terms of C (= coulomb), M, L, T?

AIIMS 2011 Solution View → 57

The physical quantity having the dimensions [ M ⁻¹ ~L ⁻³ ~T ^3 ~A ^2 ] is

JIPMER 2011 Solution View → 58

The dimensions of ( ₀ ₀ )^ -1 / 2 are

NEET 2011 Solution View → 59

The density of material in CGS system of units is 4 ~g / cm ^3 . In a system of units in which unit of lengths is 10 ~cm and unit of mass is 100 ~g , the value of density of materi

NEET 2011 Solution View → 60

What is the dimensions of magnetic field B in terms of C (= coulomb), M, L, T?

NEET 2011 Solution View → 61

The physical quantity having the dimensions [ M ⁻¹ ~L ⁻³ ~T ^3 ~A ^2 ] is

NEET 2011 Solution View → 62

If the energy, E=G^p h^q c^r , where G is the universal gravitational constant, h is the Planck's constant and c is the velocity of light, then the values of p, q and r are, respec

AIIMS 2010 Solution View → 63

Which of the following pairs does not have same dimensions ?

AIIMS 2010 Solution View → 64

The potential energy of a particle varies with distance x from fixed a origin as v= ( A x x+B ) ; where, A and B are constants. The dimensions of A B are

JIPMER 2010 Solution View → 65

The dimension of 1 2 ₀ E ^2 , where ₀ is permittivity of free space and E is electric field, is

NEET 2010 Solution View → 66

If the energy, E=G^p h^q c^r , where G is the universal gravitational constant, h is the Planck's constant and c is the velocity of light, then the values of p, q and r are, respec

NEET 2010 Solution View → 67

Which of the following pairs does not have same dimensions ?

NEET 2010 Solution View → 68

The potential energy of a particle varies with distance x from fixed a origin as v= ( A x x+B ) ; where, A and B are constants. The dimensions of A B are

NEET 2010 Solution View → 69

The dimensions of specific resistance are

AIIMS 2009 Solution View → 70

The dimensional formula of Planck's constant is

AIIMS 2009 Solution View → 71

Assertion : The dimensional formula for product of resistance and conductance is same as for dielectric constant. Reason: Both have dimensions of time constant.

AIIMS 2009 Solution View → 72

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

JIPMER 2009 Solution View → 73

If the dimensions of a physical quantity are given by M ^ a L ^ b T ^c , then the physical quantity will be

NEET 2009 Solution View → 74

If the dimensions of a physical quantity are given by [ M ^ a L ^ b T ^ c ] , then the physical quantity will be :

NEET 2009 Solution View → 75

The dimensions of specific resistance are

NEET 2009 Solution View → 76

The dimensional formula of Planck's constant is

NEET 2009 Solution View → 77

Assertion : The dimensional formula for product of resistance and conductance is same as for dielectric constant. Reason: Both have dimensions of time constant.

NEET 2009 Solution View → 78

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

NEET 2009 Solution View → 79

Lumen is the unit of

AIIMS 2008 Solution View → 80

In an electrical circuit containing (L, C ) and (R ) which of the following does not denote the dimensions of frequency?

AIIMS 2008 Solution View → 81

Assertion: In the relation (f= 1 2 l T ), where symbols have standard meaning, ( ) represent linear mass density. Reason : The frequency has the dimensions of inverse of time.

AIIMS 2008 Solution View → 82

Given that y=A [ ( 2 (c t-x) ) ] , where y and x are measured in metre. Which of the following statements is true?

JIPMER 2008 Solution View → 83

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

NEET 2008 Solution View → 84

Which two of the following five physical parameters have the same dimensions? (a) energy density (b) refractive index (c) dielectric constant (d) Young's modulus (e) magnetic field

NEET 2008 Solution View → 85

In an electrical circuit containing (L, C ) and (R ) which of the following does not denote the dimensions of frequency?

NEET 2008 Solution View → 86

Lumen is the unit of

NEET 2008 Solution View → 87

Assertion: In the relation (f= 1 2 l T ), where symbols have standard meaning, ( ) represent linear mass density. Reason : The frequency has the dimensions of inverse of time.

NEET 2008 Solution View → 88

Given that y=A [ ( 2 (c t-x) ) ] , where y and x are measured in metre. Which of the following statements is true?

NEET 2008 Solution View → 89

What is the dimensions of impedance ?

AIIMS 2007 Solution View → 90

Which of the following physical quantities do not have same dimensions?

AIIMS 2007 Solution View → 91

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

JIPMER 2007 Solution View → 92

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

NEET 2007 Solution View → 93

What is the dimensions of impedance ?

NEET 2007 Solution View → 94

Which of the following physical quantities do not have same dimensions?

NEET 2007 Solution View → 95

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

NEET 2007 Solution View → 96

The magnetic moment has dimensions of

AIIMS 2006 Solution View → 97

A force F is given by F=a t+b t^2 , where, t is time. What are the dimensions of a and b ?

JIPMER 2006 Solution View → 98

In a system of units if force (F) , acceleration (A) , and time ( T ) are taken as fundamental units, then the dimensional formula of energy is :

JIPMER 2006 Solution View → 99

The velocity v of a particle at time t is given by v=a t+ b t+c , where a, b and c are constants. The dimensions of a, b and c are:

NEET 2006 Solution View → 100

The magnetic moment has dimensions of

NEET 2006 Solution View → 101

In a system of units if force (F) , acceleration (A) , and time ( T ) are taken as fundamental units, then the dimensional formula of energy is :

NEET 2006 Solution View → 102

A force F is given by F=a t+b t^2 , where, t is time. What are the dimensions of a and b ?

NEET 2006 Solution View → 103

"Parsec" is the unit of

AIIMS 2005 Solution View → 104

Dimension of electrical resistance is

AIIMS 2005 Solution View → 105

Assertion : Specific gravity of a fluid is a dimensionless quantity. Reason : It is the ratio of density of fluid to the density of water.

AIIMS 2005 Solution View → 106

The dimensional formula for Young's modulus is

JIPMER 2005 Solution View → 107

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

NEET 2005 Solution View → 108

"Parsec" is the unit of

NEET 2005 Solution View → 109

Assertion : Specific gravity of a fluid is a dimensionless quantity. Reason : It is the ratio of density of fluid to the density of water.

NEET 2005 Solution View → 110

Dimension of electrical resistance is

NEET 2005 Solution View → 111

The dimensional formula for Young's modulus is

NEET 2005 Solution View → 112

Using mass (M) , length (L) , time (T) and current (A) as fundamental quantities, the dimension of permittivity is

AIIMS 2004 Solution View → 113

The dimensions of gravitational constant are

JIPMER 2004 Solution View → 114

The unit of permittivity of free space ₀ , is:

NEET 2004 Solution View → 115

The dimensions of universal gravitational constant are:

NEET 2004 Solution View → 116

Using mass (M) , length (L) , time (T) and current (A) as fundamental quantities, the dimension of permittivity is

NEET 2004 Solution View → 117

The dimensions of gravitational constant are

NEET 2004 Solution View → 118

Using mass (M) , length (L) , time (T) and current (A) as fundamental quantities, the dimension of permeability is

AIIMS 2003 Solution View → 119

Using mass (M) , length (L) , time (T) and current (A) as fundamental quantities, the dimension of permeability is

NEET 2003 Solution View → 120

Length cannot be measure by

AIIMS 2002 Solution View →
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