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Q.

Vibrating tuning fork of frequency n is placed near the open end of a long cylindrical tube. The tube has a side opening and is fitted with a movable reflecting piston. As the piston is moved through 8.75 cm, the intensity of sound changes from a maximum to minimum. If the speed of sound is 350 m/s. Then n is

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a

500 Hz

b

1000 Hz

c

2000 Hz

d

4000 Hz

answer is B.

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Detailed Solution

When the piston is moved through a distance of 8.75cm, the path difference produced is 2×8.75 cm=17.5 cm. This must be equal to λ2 for maximum to change to minimum.  ∴λ2=17.5cm⇒λ=35cm=0.35mSo, v=nλ⇒n=vλ=3500.35=1000Hz
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Vibrating tuning fork of frequency n is placed near the open end of a long cylindrical tube. The tube has a side opening and is fitted with a movable reflecting piston. As the piston is moved through 8.75 cm, the intensity of sound changes from a maximum to minimum. If the speed of sound is 350 m/s. Then n is