MHT CET 2024 Physics question
A string is under tension of 180 N and mass per unit length . It produces two consecutive resonant frequencies with a tuning fork, which are 375 Hz and 450 Hz. The mass of the string is
Answer: (D)
Solution
For a string fixed at both ends the resonant frequencies are , so two consecutive resonances differ by the fundamental: . Wave speed \sqrt{T/μ}\sqrt{\dfrac{180}{2×10^{-3}}}\sqrt{90000}$ = 300\
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