Single Choice

Which of the following pairs does not have same dimensions?

Aimpulse and momentum
Bmoment of inertia and moment of force
Correct Answer
Cangular momentum and Planck's constatn
Dwork and torque

Solution

Moment of force $$(\tau)$$ is equal to the product of moment of inertia $$(I)$$ and the angular acceleration $$(\alpha)$$ of the rotating body.
$$\therefore$$ $$\tau = I \alpha$$
Hence the dimensions of moment of force and moment of inertia must be different.


SIMILAR QUESTIONS

Units and Dimensions

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

Units and Dimensions

Dimensional formula of angular momentum is

Units and Dimensions

Dimensional formula of $$\Delta Q$$ heat supplied to the system is given by

Units and Dimensions

The dimensional formula for electric flux is?

Units and Dimensions

Suppose a quantity x can be dimensionally represented in terms of M, L and $$T$$ that is, $$[x]=M^aL^bT^c$$. The quantity mass.

Units and Dimensions

The dimensions of time constant are:

Units and Dimensions

Write the dimensional formula of Force.

Units and Dimensions

The dimensions of Planck's constant are the same as that of the

Units and Dimensions

The dimensional formula of electric potential is

Units and Dimensions

Dimensional formula of $$\Delta Q$$, heat supplied to the system is

Contact Details