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Q.

A 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 also 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 meter per second, 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

Additional path difference introduced then the piston is moved through 8.75 cm = 2 × 8.75 = 17.50 cm Since the intensity changes from maximum to minimum additional path =λ/2 ∴λ/2=17.50⇒λ=35cm      f=vλ=35035×10−2=1000Hz
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A 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 also 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 meter per second, then n is –