Questions  

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

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By Expert Faculty of Sri Chaitanya
ctaimg
a
10.5 Hz
b
105 Hz
c
155 Hz
d
205 Hz
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detailed solution

Correct option is B

For a string fixed at both ends, the resonant frequencies arevn=nv2L where n=1,2,3,…..The difference between two consecutive resonant frequencies isΔvn=vn+1-vn=(n+1)v2L-nv2L=v2Lwhich is also the lowest resonant frequency (n=1)Thus the lowest resonant frequency for the given string=420 Hz -315 Hz = 105 Hz

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In Melde’s experiments in the longitudinal mode of vibration a string vibrates in 4 loops with a load of 8 gm. How much load would be required in order that the string many vibrate in 8 loops in transverse mode.

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