A tuning fork is used to produce resonance in glass tube. The length of the air column in the tube can be adjusted by a variable piston, A room temperature of 27° C two successive resonances are produced at 20 cm and 73 cm column length. If the frequency of the tuning for is 320 Hz, the velocity of sound in air at 27° C

Question

A tuning fork is used to produce resonance in glass tube. The length of the air column in the tube can be adjusted by a variable piston, A room temperature of 27° C two successive resonances are produced at 20 cm and 73 cm column length. If the frequency of the tuning for is 320 Hz, the velocity of sound in air at 27° C (A) 300 m/s (B) 330 m/s (C) 350 m/s (D) 339 m/s

Tardigrade Admin · Accepted Answer

v = 2 (v) [L2 - L1] = 2 × 320 [ 72 - 20] × 10-2 = 339.2 ms-1 = 339 m/s

300 m/s

330 m/s

350 m/s

339 m/s

v=2(v)[L2​−L1​] =2×320[72−20]×10−2 =339.2ms−1 =339m/s

$v = 2 (v) [L_{2} - L_{1}]$
$= 2 \times 320 [72 - 20] \times 1 0^{- 2}$
$= 339.2 m s^{- 1}$
$= 339 m / s$