A simple pendulum of length on Earth has a time period

PHYSICS · Single correct · AP · Physics 1: Algebra-based · Oscillations · Oscillations

Problem

A simple pendulum of length

0.50\,\text{m}

on Earth has a time period

T

. If its length is increased to

2.0\,\text{m}

and the pendulum is taken to a planet where the acceleration due to gravity is

4.9\,\text{m\,s}^{-2}

, what is the ratio

T'/T

of the new time period

T'

to the original time period

T

? (Take

g_{\text{Earth}} = 9.8\,\text{m\,s}^{-2}

.) (a)

1.4

(b)

0.71

(c)

2.8

(d)

2.0