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NEET Units and Dimensions PYQs with Solutions

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

212 questionsPhysics2001–2026Answers + solutions

About Units and Dimensions PYQs

Units and Dimensions has 212 previous year questions in the Quantrex Academy NEET UG Physics bank. The 212 questions in this list come from NEET (162), AIIMS (33), JIPMER (15) and 1 other source, spanning 2001 to 2026. Each question opens on its own page with the options, the correct answer and the worked solution where available.

NEET Units and Dimensions PYQs with Solutions

About Units and Dimensions PYQs

Questions by year (this list)

Units and Dimensions questions with solutions

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

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

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

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 :

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

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

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 ρ and takes a

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

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

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:

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

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

Plane angle and solid angle have:

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)

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

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

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

Dimensions of stress are:

What is the dimension of luminous flux?

The only mechanical quantity which has negative dimension of mass is

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

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

The unit of thermal conductivity is

What is the dimension of luminous flux?

The only mechanical quantity which has negative dimension of mass is

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

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

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 ?

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

Dimension of force is

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 ?

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

Dimension of force is

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

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

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

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

If dimensions of critical velocity, v _ c of a liquid flowing through a tube are expressed as [ &#951; ^ x &#961; ^ y r^ z ] , where,~ η, ρ and r are the coefficient of viscosity

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

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

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

The angular amplitude of a simple pendulum is θ_0 . The maximum tension in its string will be

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

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

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

The angular amplitude of a simple pendulum is θ_0 . The maximum tension in its string will be

Dimensional formula of angular momentum is

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

The pair of quantities having same dimensions is:

Dimensional formula of angular momentum is

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

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

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

The dimensions of (μ_0 ε_0)^ -1 / 2 are

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

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

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

The dimensions of (μ_0 ε_0)^ -1 / 2 are

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

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

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

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

Which of the following pairs does not have same dimensions ?

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

The dimension of (1)/(2) ε_0 E^2 , where ε_0 is permittivity of free space and E is electric field, is

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

Which of the following pairs does not have same dimensions ?

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

The dimensions of specific resistance are

The dimensional formula of Planck's constant is

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

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

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

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

The dimensions of specific resistance are

The dimensional formula of Planck's constant is

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 viscosity