Question

Assertion (A): Torque and force are analogous physical quantities in rotational motion and translatory motion respectively.
Reason (R): Torque and force have same dimensions.

• A. Both A and R are true and R is correct explanation of A
• B. Both A and R are true and R is not correct explanation of A
• C. A is true and R is false
• D. A is false and R is true

Answer 1

Answer: (C)

A is true and R is false

$T=I\alpha$ (In rotational motion)
$F=ma$ (In translatory motion)
$\therefore$ Both are analogous physical quantities,
But the the dimention of both is not same.
$F=ML{T}^{-2}$
$T=M{L}^2{T}^{-2}$