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MHT CET 2024 (11 May, Shift 2) · Stationary Waves & Vibrating Strings

Stationary Waves & Vibrating Strings question from MHT CET 2024 (11 May, Shift 2)

Q49MHT CET 2024 · 11 MAY · 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. The value of ' $p$ ' is

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Answer: (b)

Successive harmonics of a string differ by the fundamental: $n_1 = 400 - 320 = 80\text{ Hz}$ .
$p = \dfrac{320}{80} = 4$
So the answer is (b) 4.

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