Sound WavesHard

Question

An air column in a pipe, which is closed at one end, will be in resonance with a vibrating tuning fork of frequency 264 Hz, if the length of the column in cm is (speed of sound in air = 330 m/s)

Options

A.31.25
B.62.50
C.93.75
D.125

Solution

For closed organ pipe
       where n = 1, 3, 5, .........
∴    
For n = 1       cm = 31.25 cm
For n = 3       l3 = 3l1 = 93.75 cm
For n = 5       l5 = 5l1 = 156.25 cm
∴ Correct options are (a) and (c).

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