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MHT CET 2023 Physics question

PhysicsWavesMHT CET 2023

A uniform string is vibrating with a fundamental frequency 'n'. If radius and length of string both are doubled keeping tension constant then the new frequency of vibration is

Answer: (C)

Solution

Fundamental frequency of a stretched string: , where is the mass per unit length. Doubling the radius makes four times larger, so becomes half. Doubling the length makes half. Hence $n' =

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Question ID VK-097371