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Question

Two identical pulses whose centres are initially 16 cm apart are moving towards each other on a stretched string with same speed as shown in the figure. After 4 seconds, if the vertical displacement for resultant pulse is zero then the speed of pulses are


A
2 cm/s
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B
1 cm/s
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C
4 cm/s
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D
8 cm/s
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Solution

The correct option is A 2 cm/s
At t=0

The distance between centre of pulses is 16 cm
The velocity of any of the pulse with respect to another pulse is,
vrel=v+v=2v
Since, the vertical displacement of resultant pulse at t=4 s becomes zero, it means string has become horizontal.

t=4 s

The relative displacement of centre of pulses is 16 cm
Δx=vrel×t
16=2v×4=8v
v=2 cm/s

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