Sonometer experiment.

Classical Mechanics Level pending

A sonometer wire resonates with a given tuning fork forming standing waves with three antinodes between the two bridges when mass \(M\) is suspended from the wire. When this mass is completely immersed in a liquid of density \(\rho_l\), the wire resonates with same tuning fork forming five antinodes for the same position of the bridges. The ratio of density of liquid and density of mass \(M\), \(\frac{\rho_l}{\rho_m}\), is :

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