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 :

A bottel weighing 220 g and of area of cross-section 50 cm^(2), and he

1.	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 :
Answer» `2.5 Hz` `4.5 Hz` `3.5 Hz` `1.5 Hz` Solution :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`