Q.
A wire of density 7×103 kg/m3, length 1m and diameter 1 mm is stretched by weight of 11 kg . Calculate the frequency of the fundamental note
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a
35 Hz
b
140 Hz
c
280 Hz
d
70 Hz
answer is D.
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Detailed Solution
Density d=7×103kg/m3 Length l=1 mDiameter d=1 mmRadius r=0.5×10−3 m⇒5×10−4 mWeight m=11 kgFrequency n=?n=12l.Tμ =12lmgπr2.d=12×111×9.8227×52×10−8×7×103=70 Hz
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