﻿ A weight is attached to the free end of a sonometer wire. Resonance occurs at a length of 40 cm of the wire with a tuning fork of frequency 512 Hz. The weight is then immersed wholly in water, the resonant length is reduced to 30 cm. The relative density of the weight is : Kaysons Education

# A Weight Is Attached To The Free End Of A Sonometer Wire. Resonance Occurs At A Length Of 40 Cm Of The Wire With A Tuning Fork Of Frequency 512 Hz. The Weight Is Then Immersed Wholly In Water, The Resonant Length Is Reduced To 30 Cm. The Relative Density Of The Weight Is

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Let M be the mass attached to the end of the sonometer wire, then the tension in the wire is W = Mg. The frequency of the wire V is 512 Hz when its vibrating length is L = 40 cm. i.e.

When the mass is immersed in water, its weight reduces to W’due to upthrust; the vibrating length now becomes L’ = 30 cm.

Now, the relative density of the solid is given by

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