Single Choice

A travelling harmonic wave is represented by the equation $$ y (x,t)=10^{-3}$$ $$\sin ({50t+2x) , } $$, where x and y are in meter and t is in seconds. Which of the following is a correct statement about the wave? The wave is propagating along the__?

Anegative x-axis with speed $$25ms^{-1} $$
Correct Answer
BThe wave is propagating along the positive x-axis with speed $$25ms^{-1}$$
CThe wave is propagating along the positive x-axis with speed $$100ms^{-1}$$
DThe wave is propagating along the negative x-axis with speed $$25ms^{-1}$$

Solution

$$y=a \sin ( { \omega t+kx } )$$
$$\Rightarrow$$ wave is moving along-ve x-axis speed
$$v=\frac { \omega }{ K }\Rightarrow v= \frac { 50}{ 2} =25m/sec$$.


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