1.

A sonometer wire is in unison with atuning fork of frequency 107 Hz when it is stretched by a certain weight. When the weight is completely immersed in water , 7 beats are heard per second . Find the specific gravity of the material of the weight.

Answer»

SOLUTION :`n_(2) = n_(1) -7 = 107 -7= 100 HZ`
`n_(1)/n_(2) = SQRT(s/(s-1)) "" sqrt(s/(s-1)) = 107/100 = 1.07`
`s/(s-1) = (1.07)^(2) = 1.145`
` s/(s-(s-1)) = 1.145)/(1.145-1)"" 1.145/0.145 = 897`
The specific gravity (RELATIVE density ) of the material is 7.897


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