The bob of a simple pendulum executm simple harmonic motion in water with a period t, while the period of oscillation of the bob is `t_(0)` in air. Negleting frictional force of water and given that the density of the bob is (4//3)xx1000 kg//m^(3).
What relationship between t and `t_(0)` is true.

Options

A. (a) `t=2t_(0)`
B. (b) `t=t_(0)/2`
C. (c ) `t=t_(0)`
D. (d) `t=4t_(0)`

Answer

A

Explanation

(a) `t2pisqrtl/(g_(eff), t_(0)2pisqrtl/g`
(##JMA_CHMO_C10_045_S01##).
`mg_(eff)=mg-Bmy-Vxx100xxg`
:. G_(eff=g-(100)/(m/v)g=g=(1000)/(4/3xx1000)g=g/4`
:. T=2pisqrtl/(g//4)` `t=2t_(0)`.