For a simple pendulum oscillating with a small angular amplitude

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

Problem

For a simple pendulum oscillating with a small angular amplitude, which of the following expressions gives the period

T

in terms of the pendulum’s length

l

and the local gravitational field strength

g

? (a)

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

(b)

T = 2\pi\sqrt{\dfrac{l}{2g}}

(c)

T = 2\pi\sqrt{\dfrac{l}{g}}

(d)

T = \pi\sqrt{\dfrac{l}{g}}