The time period of a simple pendulum is assumed to depend only on its length and the…

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

Problem

The time period

T

of a simple pendulum is assumed to depend only on its length

l

and the acceleration due to gravity

g

. Which of the following relations is dimensionally correct? (a)

T \propto \dfrac{l}{g}

(b)

T \propto \sqrt{\dfrac{l}{g}}

(c)

T \propto \sqrt{l g}

(d)

T \propto \sqrt{\dfrac{g}{l}}