The periodic time of a simple pendulum of length 1 m and amplitude 2 cm is 5 seconds. If the amplitude is made 4 cm, its periodic time in seconds will be
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In the question we are given the length of the pendulum, 
Amplitude of the pendulum, 
And the time period of this pendulum, 
seconds.
We have to find the time period of this pendulum, when its amplitude becomes 4 cm .
We know, time period of a simple pendulum is given by the equation, 
, where ' 
' is the length of the pendulum and ' 
' is acceleration due to gravity.
From this equation, it is clear that the time period of a simple pendulum does not depend on its amplitude.
In the question, we change the amplitude of the pendulum from 2 cm to 4 cm . Length of the pendulum remains the same and acceleration due to gravity; ' 
' is a constant.
Therefore, the time period of the pendulum when its amplitude 
, length ' 
' 
will be 5 seconds.
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