A pendulum’s time period is experimentally measured as and the local acceleration due…

PHYSICS · Single correct · A Level · Physics · Further mechanics and thermal physics · Further mechanics and thermal physics

Problem

A pendulum’s time period is experimentally measured as

T

and the local acceleration due to gravity is

g

. Which one of the following expressions correctly gives the length

L

of the pendulum in SI units? (a)

L = \dfrac{g T^{2}}{8\pi^{2}}

(b)

L = \dfrac{g T^{2}}{4\pi^{2}}

(c)

L = \dfrac{g T^{2}}{2\pi}

(d)

L = \dfrac{g T^{2}}{\pi^{2}}