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Q.

Calculate the change in the length of a simple pendulum of length 1m, when its period of oscillation changes from 2 sec to   1.5 sec

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a

−716 m

b

716 m

c

167 m

d

−167 m

answer is A.

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Detailed Solution

Time period =T=2πlg where l= length of pendulum                                                              g=acceleration due to gravity           T  α  l T1T2=l1l2 by question T1=2,T2=1.5 21.5=l1l2,squaring on both sides ⇒l2=916 ⇒Δl=l2−l1      Δl=916−1 change in length=Δl=−716
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