Question

v) The time period of a simple pendulum varies directly as the square root of its length . If the time period is T , when the length is L , then find the time period when the length is 4L .

Answer 1

Step-by-step explanation:

The time period of simple pendulum can be written as

T=2π

g

l

l= length of pendulum

g= acceleration due to gravity at the position of simple pendulum.

Now when g is unchanged and as 2π is constant, T will only depend on length as the square root of it. So our given statement is true.