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Question2: What happens to the time period of a pendulum if its length is doubled?

ANSWER

Formula for calculating the time period ‘T’ of a pendulum of length ‘l’ is given by,

Suppose we increase the length of the pendulum 2 times, then the new length is 2l . There the new time period is

Hence, if the length of the pendulum is doubled, its time-period increases by 1.41 times of the previous time period. Thus the pendulum will oscillate slower than the initial speed.

  

Follow up questions

(1) What happens to the time period of a pendulum when its length is halved?

(2) What happens to the time period of a pendulum when its length is increased four times.

(3)The length of a second pendulum is

(a) 100 cm (b) 1000 cm  (c) 99 cm (d) 99.4 cm

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