PhysicsA 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 27oC two successive resonances are produced at 20cm and 73cm of column length. If the frequency of the tuning fork is 320Hz, the velocity of sound in air at 27oC is

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 27^oC two successive resonances are produced at 20cm and 73cm of column length. If the frequency of the tuning fork is 320Hz, the velocity of sound in air at 27^oC is

A
330 m/s
B
339 m/s
C
300 m/s
D
350 m/s

Solution:

$V = 2 n (l_{2} - l_{1})$
$∴$ $∴ V = 2 \times 320 (73 - 20) 10^{- 2} = 339 {ms}^{- 1}$

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