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Q.

A glass tube of 1.0 m length is filled with water; the water can be drained out slowly at the bottom of the tube. If a vibrating tuning work of frequency 500 Hz is brought at the upper end of the tube and the velocity of sound is 330 m/s, then the total number of resonances obtained will be:

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a

2

b

1

c

3

d

4

answer is B.

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Detailed Solution

Wavelength of the sound waves is given as 

λ=vn=330500

Resonance will occur at λ4, 3λ4 and 5λ4

and values beyond 5λ4will be greater than the length of the tube.

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