A tuning fork with frequency 800 Hz produces resonance in a resonance column tube with upper end open and lower end closed by water surface. Successive resonance are observed at length 9.75 cm, 31.25 cm and 52.75 cm. The speed of sound in air is :

Question

A tuning fork with frequency 800 Hz produces resonance in a resonance column tube with upper end open and lower end closed by water surface. Successive resonance are observed at length 9.75 cm, 31.25 cm and 52.75 cm. The speed of sound in air is : (A) 500 m/s-1 (B) 156 m/s-1 (C) 344 m/s-1 (D) 172 m/s-1

Tardigrade Admin · Accepted Answer

Here λ = 2 (l2 - l1) where l1 = 9.75 cm, l2 = 31. 25 cm so v = 2n(l2 - l1) × 800(31.25 - 9.75) = 344 m/s

Q. A tuning fork with frequency $800 Hz$ produces resonance in a resonance column tube with upper end open and lower end closed by water surface. Successive resonance are observed at length $9.75 c m$ , $31.25 c m$ and $52.75 c m$ . The speed of sound in air is :

$500 m / s^{- 1}$

$156 m / s^{- 1}$

$344 m / s^{- 1}$

$172 m / s^{- 1}$

Here $λ = 2 (l_{2} - l_{1})$
where $l_{1} = 9.75 c m, l_{2} = 31.25 c m$
so $v = 2 n (l_{2} - l_{1}) \times 800 (31.25 - 9.75)$
$= 344 m / s$

Q. A tuning fork with frequency 800Hz produces resonance in a resonance column tube with upper end open and lower end closed by water surface. Successive resonance are observed at length 9.75cm, 31.25cm and 52.75cm. The speed of sound in air is :

500m/s−1

156m/s−1

344m/s−1

172m/s−1