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A simple pendulum has time period 3 seconds. The pendulum is completely immersed in a non viscous liquid whose density is 110th  of that of the material of the bob. Then time period of that pendulum is

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a
3seconds
b
3 seconds
c
310seconds
d
3.162seconds

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detailed solution

Correct option is D

given  density of liquid =dl=110db  ;density of the pendulum=dbtime period of simple pendulum =T=2πlg =3 given---(1)  ; l=length of the pendulum; g= acceleration due to gravity=3------(1)time period of simple pendulum inside liquid T1=2πlg1−dldbT1=2πlg1−110=l10g9T1=2πlg109 substitute eqn(1) T1=3×103=10=3.162  seconds.=time period of pendulum immersed in liquid


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