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PhysicsMediumMCQ2006 · Unknown

Q23.A string is stretched between fixed points separated by 75 cm. It is observed to have resonant frequencies of 420 Hz and 315 Hz. There are no other resonant frequencies between these two. Then, the lowest resonant frequency for this string is (1) 10.5 Hz (2) 105 Hz (3) 1.05 Hz (4) 1050 Hz

What This Question Tests

The question utilizes the concept of harmonics in a stretched string fixed at both ends to determine the fundamental (lowest) resonant frequency from two consecutive resonant frequencies.

Concepts Tested

Resonant FrequenciesHarmonicsFundamental Frequency

Formulas Used

f_n = n * f₁

f_n = (n/2L)√(T/μ)

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