A sonometer wire resonates with a given tuning fork forming ` 5` antinodes when a mass of `9 kg` is suspended from the wire . When this resonates with the same tuning fork forming three antinodes for the same positions of the bridges . The value of `M` is

Options

A. `25 kg`
B. `5 kg`
C. `12.5 kg`
D. `(1//25) kg`

Answer

A

Explanation

`f_(0) = (5)/( 2l) sqrt((9 g)/(mu)) = (3)/(2 l) sqrt((M g)/(mu))`
`:. M = 25 kg`