The equation of an incident wave travelling along +X direction is given by $$y= A sin (2t-5x)$$. This wave gets reflected at a rigid boundary. The equation of the reflected wave is
The correct option is C $$y= A sin (2t+5x +\pi)$$
A reflected wave will be $$\pi$$ radians out of phase with the incident wave. Apart from this, the wave will also get reflected along the negative x axis. Thus, the sign of x also changes.
The equation of the reflected wave is thus $$y= A sin (2t+5x +\pi)$$
The correct option is (c)