In a sonometer wire, the tension is maintained by suspending a 50.7 kg mass from the free end of the wire. The suspended mass has a volume of 0.0075 m³. The fundamental frequency of vibration of the w

Question

In a sonometer wire, the tension is maintained by suspending a 50.7 kg mass from the free end of the wire. The suspended mass has a volume of 0.0075 m³. The fundamental frequency of vibration of the wire is 260 Hz. What will be the fundamental frequency if the mass is completely submerged in water?

Answer:

240

Solution:

$T = 50.7 g$ . Buoyancy = $0.0075 \times 1000 \times g = 7.5 g$ . $T^{'} = 43.2 g$ . $f^{'} = 260 43.2/50.7 = 240$ Hz.

TestHub · Accepted Answer

T = 50.7 g . Buoyancy = 0.0075 × 1000 × g = 7.5 g . T ′ = 43.2 g . f ′ = 260 43.2/50.7 ​ = 240 Hz.

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