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Questions  

In resonance tube experiment, a closed organ pipe of length 124 cm resonates when activated by a tuning fork of frequency 340 Hz. If more water is poured in the pipe then [speed of sound in air is 340 ms-1]

a
The minimum finite length of water column to have resonance is 49 cm
b
The difference between two successive readings at resonances is 50 cm
c
The minimum length of air column to have resonance is 24 cm
d
The diameter of tube is 0.3 cm

detailed solution

Correct option is B

Wavelength  =340340=1 mIdeal resonating lengths are  14m,  34m,  54m,  ...For fifth harmonic to occur, total vibrating length should be 1.25 m.∴ end correction = e = 1.25-1.24 = 0.01 m = 1 cmSo, e = 1 cm = 0.3 d(diameter) d = 3.3 cmThe minimum finite length of water column to have resonance = 1.25 - 0.75 = 0.5 mHence minimum length of air column = 0.25 – 0.01 m                                                           = 0.24 m = 24 cmThe difference between two successive readings at resonances  = 74 cm - 24 cm = 50 cm

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