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Questions  

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

a
−716 m
b
716 m
c
167 m
d
−167 m

detailed solution

Correct option is A

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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