Question

Assertion: Torque and force are analogous physical quantities in
rotational motion and translator motion respectively.
Reason: Torque and forces have same dimension.​

Answer 1

Given:

Assertion: Torque and force are analogous physical quantities in rotational motion and translator motion respectively.

Reason: Torque and forces have same dimension.

Detailed Discussion:

• Torque is the rotational analogue of Force.

• In translational motion, a push or a pull is considered to be a Force.

• However, in rotational motion, moment of the force with respect to the axis of rotation is considered to be Torque.

• Hence, they can be considered analogous, ASSERTION IS TRUE.

Now, dimensions of Force :

$\boxed{ \bigg[F \bigg] = \bigg[M L {T}^{-2} \bigg]}$

Now, dimension of torque :

$\boxed{ \bigg[ \tau \bigg] = \bigg[M {L}^{2} {T}^{-2} \bigg]}$

• So, dimensions of force and torque are not equal.

• REASON IS FALSE.