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A simple pendulum has a time period 'T' in vacuum. It’s time of period when it is completely immersed in a liquid of density one-eighth of the density of the material of the bob is

a
78T
b
58T
c
38T
d
87T

detailed solution

Correct option is D

time period of simple pendulum isT=2πlg---(1) time period of simple pendulum when immersed in liquid is T1=2πlg1-dliquiddbody dliquid= density of liquid , dbody=density of body or oscillator, substitute the given values T1=2πlg1-18 T1=2πlg78 T1=2π8l7g substitute (1) in above equation or divide equations of T and T1 T1=87T

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