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Q.

In a experiment to determine velocity of sound in air at room temperature using a resonance tube, the first resonance is observed when the air column has a length of 20.0 cm for a tuning fork of frequency 400 Hz. Velocity of sound at room temperature is 336 m/s. The third resonance is observed when air column is at length of _____ (in cm) 

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a

100 cm

b

104 cm

c

80 cm

d

84 cm

answer is C.

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Detailed Solution

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λ=Vf=336400=84  cm

At  first  resonance,   λ4=l+e⇒e=1  cm
At 3rd  resonance,  l3+  e=5λ4.

⇒ l3=5(21)−1=104   cm

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