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Q.

The pipe closed at one end, has an air column. The air column is in resonance with a vibrating tuning fork of frequency f(75 Hz < f < 300 Hz). Length of air column is 93.75 cm. Find f (speed of sound in air is 330 m/s):

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a

78 Hz

b

197 Hz

c

264 Hz

d

284 Hz

answer is C.

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Detailed Solution

Force closed pipe, f = nV4l, n = 1. 3, 5,..f1 = V4l = 330(4)(93.75100) = 88 Hzf2 = 3V4l = (3)(330)(4)(93.75100) = 264 HzRequired f = 264 Hz

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The pipe closed at one end, has an air column. The air column is in resonance with a vibrating tuning fork of frequency f(75 Hz < f < 300 Hz). Length of air column is 93.75 cm. Find f (speed of sound in air is 330 m/s):