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Q.

A tuning fork is used to produce resonance in a glass tube. The length of the air column in this tube can be adjusted by a variable piston. At room temperature of 270C two successive resonances are produced at 20 cm and 73 cm of column length. If the frequency of the tuning fork is 320 Hz the velocity of sound in air at 270C is

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a

330 m s-1

b

339 m s-1

c

350 m s-1

d

300 m s-1

answer is B.

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Detailed Solution

The velocity of sound in air at 270C is v=2(n)L2-L1; where v=frequency of tuning fork and L1,L2 are the successive column length.∴  v=2×320[73-20]×10-2=339.2 m s-1≈339 m s-1
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A tuning fork is used to produce resonance in a glass tube. The length of the air column in this tube can be adjusted by a variable piston. At room temperature of 270C two successive resonances are produced at 20 cm and 73 cm of column length. If the frequency of the tuning fork is 320 Hz the velocity of sound in air at 270C is