A simple pendulum has a time period `T`. The pendulum is completely immersed in a non-viscous liquid whose density is one-tenth of that of the material of the bob. The time period of the pendulum immersed in liquid is

Options

A. `T`
B. `sqrt(9/10)T`
C. `sqrt(10/9)T`
D. `T/10`

Answer

C

Explanation

Net weight of pendulum equals
`w=w-U_(th)`
`impliesw'="Veg"-("Veg")/10impliesw'=9/10w`
`impliesmg'=9/10mg ( :' w=mg)`
`impliesg'=g/10g`
`:.` Time period `T'=2pisqrt(I/(g'))`
`impliesT'=sqrt(10/9)T`