A sonometer wire is in unison with a tuning fork of frequency 125 Hz when it is stretched by a weight. When the weight is completely immersed in water, 8 beats are heard per second. Find the specific gravity of the material of the weight.
When wire is stretched by a weight hanging vertically, n1 = 125 Hz,
Let frequency of wire when the weight is immersed in water producing 8 beats per second = n2
∴ n2 = n1 - 8 = 125 - 8 = 117 Hz
To find: Specific gravity (ρ)
Calculation: From formula,
`thereforerho= antilog[log 1.141-log 0.141]`
The specific gravity of material of the weight is 8.151.
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