A proposed relationship between torque

PHYSICS · Single correct · CBSE · Physics · Units and Measurements · Units and Measurements

Problem

\tau

, moment of inertia

I

, and angular acceleration

\alpha

\tau = k\,I\,\alpha^{n}

, where

k

is a dimensionless constant and

n

is an unknown exponent. Which value of

n

makes the equation dimensionally consistent? (a)

n=-1

(b)

n=2

(c)

n=1

(d)

n=0