Question

A mass $m$ is attached to the free end of a sonometer wire. The fundamental frequency of the wire is found to be $500$ cycles/ sec when the mass is in air. It becomes $480$ cycles/ sec when the mass is immersed in a liquid and $460$ cycle/ sec when the mass is immersed in water. What is the specific gravity of the liquid?

Answer 1

mass$=m$ (in air)

$f_1=500cycles/s$ (in air)

Specific gravity$=1$

Specific gravity of the liquid$=?$

$f_2=8480cycles/sec$

$f_3=460cycles/sec$

Specific heat$=f_1\sqrt{\frac{f_2}{f_3}}$