A stone is hung in air from a wire which is stretched over a sonometer. The bridges of the sonometer are L cm apart when the wire is in unison with a tuning fork of frequency N . When the stone is completely immersed in water, the length between the bridges is l cm for re-establishing unison, the specific gravity of the material of the stone is

Options

A. `(L^(2))/(L^(2)+I^(2))`
B. `(L^(2)-l^(2))/(L^(2))`
C. `(L^(2))/(L^(2)-l^(2))`
D. `(L^(2)+l^(2))/(L^(2))`

Answer

C

Explanation

`n_(1)=(1)/(2L)sqrt((Mg)/(mu))`, `n_(2)=(1)/(2l)sqrt((Mg(1-(1)/(s.g.)))/(mu))`
`n_(1)=n_(2)impliess.g.=(L^(2))/(L^(2)-l^(2))`