A bottel weighing 220 g and of area of cross-section `50 cm^(2)`, and height 4 cm oscillats on the surface of water in vertical position. Its frequency of oscillation is :

Options

A. `2.5 Hz`
B. `4.5 Hz`
C. `3.5 Hz`
D. `1.5 Hz`

Answer

A

Explanation

Let h be the depth of bottle in water tyhen
`A h rhog= mg`
(or) `h=(m)/(A rho)`
Now time period,
`T=2pi sqrt((h)/(g))`
(or) `f=(1)/(T)=(1)/(2pi) sqrt((g)/(h))`
`=(7)/(2xx22) sqrt((980)/(4))`
`[ :. G=980 cm//s^(2), h= 4cm]`
`=2.5 Hz`