Question

The period of a simple pendulum increases by 50% when the length of the pendulum is increased by 0.6 m.

The intial length of the pendulum is
a) 1.2m
b) 0.48m
c) 0.24m
d) 0.12m.

Answer 1

The correct answer is (b) 0.48m.
This can be determined by using the formula for the period of a simple pendulum, which is: T = 2π√(l/g), where T is the period, l is the length of the pendulum, and g is the acceleration due to gravity. Since the period is increased by 50%, and the length of the pendulum is increased by 0.6m, the initial length of the pendulum can be found by solving for l in the equation: (T + T/2) = 2π√((l+0.6m)/g).

Answer 2

b) 0.48m is the right answer.