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Q.

A tuning fork of frequency of 500 c/s is sounded on a resonance tube. The first and second resonance are obtained at 17 cm and 52 cm. The velocity of sound in m/sec is

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a

170

b

350

c

520

d

850

answer is B.

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Detailed Solution

For first resonance, l1=λ/4 for second resonance l2=3λ4 âˆ´ l2−l1=λ2  or  Î»=2l2−l1 or Î»=2(52−17)=70cm V=nλ =500×70=3500cm/sec=350m/sec
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