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NEET 2018 · Organ Pipes & Resonance Tube

Organ Pipes & Resonance Tube question from NEET 2018

Q108NEET 2018Medium

Organ Pipes & Resonance Tube

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°C 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 27°C is

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Answer: (b)

Successive resonances differ by $\frac{\lambda}{2}$ : $73 - 20 = 53$ cm, so $\lambda = 1.06$ m.
$v = n\lambda = 320 \times 1.06 = 339.2$ m/s
So the answer is (b) 339 m s $^{-1}$ .

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