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MHT CET 2026 (18 Apr, Shift 2) · Stationary Waves & Vibrating Strings

Stationary Waves & Vibrating Strings question from MHT CET 2026 (18 Apr, Shift 2)

Q16MHT CET 2026 · 18 APR · SHIFT 2Medium

Stationary Waves & Vibrating Strings

A wire of length 'L' and linear density 'm' is stretched between two rigid supports with tension 'T'. It is observed that wire resonates in the $P^{th}$ harmonic at a frequency of 320 Hz and resonates again at next higher frequency of 400 Hz in two successive modes. The value of 'P' is

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Answer: (b)

For a string fixed at both ends, $n_p = p\,n_1$ , so two successive harmonics differ by $n_1$ .
$n_1 = 400 - 320 = 80\text{ Hz}$
$p = \dfrac{320}{80} = 4$
So the answer is (b) $4$ .

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