A sonometer wire resonates with a given tuning fork forming standing waves with five antinodes between the two bridges when a mass of 9 kg is suspended from the wire. When this mass is replaced by mas

Question

A sonometer wire resonates with a given tuning fork forming standing waves with five antinodes between the two bridges when a mass of 9 kg is suspended from the wire. When this mass is replaced by mass M , the wire resonates with the same tuning fork forming three antinodes for the same positions of the bridges. Then find the value of square root of M.

Answer:

5

Solution:

$v = \frac{5}{2 ℓ} \frac{9 g}{m} = \frac{3}{2 ℓ} \times \frac{Mg}{m} M = 5 Hence M = 5$

TestHub · Accepted Answer

​ v = 2 ℓ 5 ​ m 9 g ​ ​ = 2 ℓ 3 ​ × m Mg ​ ​ ​ M ​ = 5 Hence M ​ = 5 ​

Physics - Wave on String Question with Solution | TestHub

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