MHT CET 2023 Physics question

PhysicsWavesMHT CET 2023

A string is stretched between two rigid supports separated by 75 cm. There are no resonant frequencies between 420 Hz and 315 Hz. The lowest resonant frequency for the string is

Answer: (C)

Solution

A string fixed at both ends resonates at (), so consecutive resonant frequencies differ by . Since there is no resonance between Hz and Hz, these two are consecutive harmonics: Hz. Check: and

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Question ID VK-098259