A sonometer wire resonates with a given tuning fork forming standing waves with five antitodes between the two bridges when a mass of `9kg` is suspended from the wire. when this same tuning fork forming three antitodes 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((9g)/(mu)) = (3)/(2l) sqrt((Mg)/(mu)) rArr M =25 kg`.