# A tuning fork of frequency 480 Hz is used in an experiment for measuring speed of sound $(\upsilon )$ in air by resonance tube method. Resonance is observed to occur at two successive lengths of the air column, $l_{1}=30cm$ and $l_{2}=70cm$. Then, $\upsilon$ is equal to: Option 1) 332 $ms^{-1}$ Option 2) 384 $ms^{-1}$ Option 3) 338 $ms^{-1}$ Option 4) 379 $ms^{-1}$

S solutionqc

$f=480 Hz$   ,    $\frac{\lambda }{2}=40cm$ ,         $\lambda =80cm=0.8m$

$Vsound=f\lambda =480\times 0.8=384m/s$

Option 1)

332 $ms^{-1}$

Option 2)

384 $ms^{-1}$

Option 3)

338 $ms^{-1}$

Option 4)

379 $ms^{-1}$

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