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MHT CET 2023 Physics question

PhysicsWavesMHT CET 2023

Two uniform wires of same material are vibrating under the same tension. If the first overtone of first wire is equal to the 2 overtone of 2 wire and radius of the first wire is twice the radius of the 2 wire then the ratio of length of first wire to 2 wire is

Answer: (A)

Solution

For a stretched string, with (same material, so same ). First overtone = 2nd harmonic: . Second overtone = 3rd harmonic: . Equating (same ):

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Question ID VK-095133