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Physics Wave and Sound NEET Previous Year Question MCQ (Single Correct)

A string is stretched between fixed points separated by 75.0 cm. It is observed to have resonant frequencies of 420 Hz and 315 Hz. There are no other resonant frequencies between these two. The lowest resonant frequency for this string is

A
10.5 Hz
B
105 Hz
C
155 Hz
D
205 Hz

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Verified by Experts
The correct answer is:
B

For a string fixed at both ends, the resonant frequencies are

where

The difference between two consecutive resonant frequencies is

which is also the lowest resonant frequency .

Thus, the lowest resonant frequency for the given string Hz Hz Hz

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