Question

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__?

• A. negative x-axis with speed $25m{s}^{-1}$
• B. The wave is propagating along the positive x-axis with speed $25m{s}^{-1}$
• C. The wave is propagating along the positive x-axis with speed $100m{s}^{-1}$
• D. The wave is propagating along the negative x-axis with speed $25m{s}^{-1}$

Answer 1

The correct option is A negative x-axis with speed $25m{s}^{-1}$

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