# A simple pendulum has a time period T in vacuum. Its time period when it is completely immersed in a liquid of density one-eight of the density one-eight of density of material of bob is :

Given,
Density of liquid / density of bob

Time period of simple pendulum,

Weight in liquid = weight in vaccume – buoyancy force.

(dB?V)a=(dB?V)g(dL?V)g      (Where, V= volume of bob)

Due to buoyancy, downward acceleration become,

Time period in vacuume / time period in liquid

Hence, time period in liquid is

Given,
Density of liquid / density of bob

Time period of simple pendulum,

Weight in liquid = weight in vaccume – buoyancy force.

(dB?V)a=(dB?V)g(dL?V)g      (Where, V= volume of bob)

Due to buoyancy, downward acceleration become,

Time period in vacuume / time period in liquid

Hence, time period in liquid is

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