Q.
A loudspeaker that produces signals from 50 to 500 Hz is placed at the open end of a closed tube of length 1.1 m. The lowest and the highest frequency that excites resonance in the tube are fl and fh, respectively. The velocity of sound is 330 m/s. Then
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a
fl=50Hz
b
fh=500Hz
c
fl=75Hz
d
fh=375Hz
answer is C.
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Detailed Solution
For a closed tubefn=nv4L, where n = 1,3,5,7,...(odd numbers)L=1.1m,v=330m/sfn=n×3304×1.1=500Hz⇒n=6.66 S maximum value of n is 5 and minimum value is 1. Hence fl = fmin = 1×3304×1.1 Hz = 75 Hzand fh =fmax= 5×3304×1.1 m = 375 Hz
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