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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
  • A$\frac{{{L^2}}}{{{L^2} + {l^2}}}$
  • B$\frac{{{L^2} - {l^2}}}{{{L^2}}}$
  • C$\frac{{{L^2}}}{{{L^2} - {l^2}}}$
  • D$\frac{{{L^2} - {l^2}}}{{{L^2}}}$
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