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Question

# A travelling harmonic wave is represented by the equation y(x,t)=103sin(50t+2x), where x and y are in meter and t is in seconds. Which of the following is a correct statement about the wave?

A
The wave is propagating along the positive x - axis with speed 25 ms1
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B
The wave is propagating along the positive x - axis with speed 100 ms1
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C
The wave is propagating along the negative x - axis with speed 100 ms1
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D
The wave is propagating along the negative x - axis with speed 25 ms1.
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Solution

## The correct option is D The wave is propagating along the negative x - axis with speed 25 ms−1.Comparing the given equation i.e. y=10−3sin(50t+2x) with standard equation, y=asin(ωt−kx) ⇒ Wave is travelling along −ve x− axis with speed v=ωk⇒v=502=25 ms−1

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