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 of material of the bob is

Options

A. `sqrt((8)/(7))T`
B. `sqrt((5)/(8))T`
C. `sqrt((3)/(2))T`
D. `sqrt((3)/(8))T`

Answer

A

Explanation

liquid density `rho`
`F_("net")=Vrhog-V(rho)/(8)g`
`F_("net")=(7)/(8)Vrhog`
Effective value of g, `g_("eff")=(7)/(8)g`
`T'=2pisqrt((l)/(g'))impliesT'=2pisqrt((8l)/(7g))`
`=sqrt((8)/(7))T`