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Important questions on Dimensions And Dimensional Analysis

HARD

The potential energy of a particle varies the distance from a fixed origin as , where A and B are dimensional constants, then find the dimensional formula for AB.

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HARD

Out of the following the only pair that does not have identical dimensions is 

A

angular momentum and Planck's constant

B

moment of inertia and moment of a force

C

work and torque

D

impulse and momentum

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HARD

Find the dimensions of work.

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HARD

Find the dimensional formula for and :

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HARD

Which of the following does not have the same dimension?

A

Electric flux, Electric field, Electric dipole moment

B

Pressure, stress, Youngs modulus

C

Electromotive force, Potential difference, Electric voltage

D

Heat, Potential energy, Work done

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HARD

Find the dimensions of refractive index.

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HARD

Two forces and act at a point and have resultant . If is replaced by  acting in the direction opposite to that of , the resultant:

A

remains same

B

becomes half

C

becomes twice

D

none of these

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HARD

Multiple Correct Answers Type
Which of the following pairs have the same dimensions?
(L = inductance, C = capacitance, R = Resistance)

This question has multiple correct options
A

and CR

B

LR and CR

C

and

D

RC and

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HARD

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

A

B

C

D

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HARD

Which of the following pairs of physical quantities does not have same dimensional formula?

A

Work and torque

B

Angular momentum and Plancks constant

C

Tension and surface tension

D

Impulse and linear momentum

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