Sound WavesHard

Question

A sonometer wire resonates with a given tuning fork forming a standing wave with five antipodes between the two bridges when a mass of 9 kg is suspended from the wire. When this mass is replaced by a mass ′M′ kg, wire resonates with the same tuning fork forming three antipodes for the same positions of the bridges. Find the value of M.

Options

A.25
B.20
C.15
D.10

Solution

                  
   ⇒ √M = 5

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