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Q.

In a ripple tank, 10 full ripples are produced in one second. The distance between a trough and a crest is 15 cm. Which of the following is the velocity of the wave?


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a

0.8 m/sec

b

3 m/sec

c

3.01 m/sec

d

0.6 m/sec 

answer is B.

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Detailed Solution

In a ripple tank, 10 full ripples are produced in one second. The distance between a trough and a crest is 15 cm. The velocity of the wave is 3 m/sec.
We know that Velocity=frequency × wavelength
Frequency is the number of ripples produced in one-second
Frequency(n)=10 Hz
Wavelength is the distance between consecutive troughs and crests, λ/2=15 cm.
Wavelength, λ=30 cm
According to the formula v=n × λ
Therefore, speed of the wave
v = 10 × 30 
⇒v= 300 cm/sec
speed of the wave(v) = 3 m/sec.
 
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In a ripple tank, 10 full ripples are produced in one second. The distance between a trough and a crest is 15 cm. Which of the following is the velocity of the wave?