Question

If the length of pendulum is made 9 times and mass of the bob is made 4 times then the value of time period becomes

A) 3T

B) 3/2T

c) 4T

D) 2T

Answer 1

A) 3T

Explanations:

The periodic time of a simple pendulum is given by

\(T=2\pi\sqrt{\frac{l}{g}}\)

\(T_1 =T,l_1=l,l_1=9l\)

\(\frac{T_1}{T_2}=\sqrt\frac{l_1}{l_2}=\sqrt\frac{1}{9}=\frac{1}{3}\)

\(T_2=3T_1=3T\)