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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 fork of frequency 500 c/s is brought at the upper end of the tube and the velocity of sound is 330 m/s, then the total number of resonance obtained will be

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a

4

b

3

c

2

d

1

answer is B.

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Detailed Solution

$Here λ = \frac{330}{500} = 0 \cdot 66 m The resonance occurs at \frac{λ}{4}, \frac{3 λ}{4}, \frac{5 λ}{4}, \frac{7 λ}{4}, \dots i.e., at 0 .165 m, 0 \cdot 495 m, 0 \cdot 825 m, 1 \cdot 155 m . As the length of the tube is only 1.0 m, hence 3 resonances will be observed .$

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