A sonometer wire resonates with a given tuning fork forming standing wave with 5 antinodes between two bridges when mass of 9 kg is suspended from the wire. When mass 'm' is suspended from t

Question

A sonometer wire resonates with a given tuning fork forming standing wave with 5 antinodes between two bridges when mass of 9 kg is suspended from the wire. When mass 'm' is suspended from the wire, with same fork and same length between two bridges 3 antinodes are formed. Mass M is

TestHub · Accepted Answer

n = 2 ℓ P 1 ​ ​ m 1 ​ T ​ ​ = 2 ℓ P 2 ​ ​ m 2 ​ I ​ ​ ∴ P 2 ​ P 1 ​ ​ = m 1 ​ m 2 ​ ​ ​ = 9 m ​ ​ = 3 m ​ ​ ∴ 3 5 ​ = 3 m ​ ​ ∴ m = 25 kg ∴ m ​ = 5

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