MHT CET 2022 Physics question

The fundamental frequency of a wire stretched by 2 kgwt is 100 Hz. The weight required to produce its octave is

(A)12 kgwt
(B)8 kgwtCorrect
(C)4kgwt
(D)16 kgwt

Answer: (B)

Solution

For a stretched wire the fundamental frequency is , so for fixed length and mass per unit length. The octave of 100 Hz is 200 Hz, i.e. the frequency doubles. Hence

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Question ID VK-097062