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MHT CET Physics question

PhysicsWavesMHT CET

Two strings of the same material and the same area of cross-section are used in an experiment. One is loaded with 12 kg and the other with 3 kg. The fundamental frequency of the first string is equal to the first overtone of the second string. If the length of the second string is 100 cm, then the length of the first string is

Answer: (C)

Solution

and the first overtone of the second string is ; equating,

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Question ID VK-070267