A sinusoidal wave yi=a sin (ω t-k x) is reflected from a rigid support and the reflected wave superposes with the incident wave, yi. Assume the rigid support to be at x=0,

Question

A sinusoidal wave yi=a sin (ω t-k x) is reflected from a rigid support and the reflected wave superposes with the incident wave, yi. Assume the rigid support to be at x=0, (A) Stationary wave are obtained with antinode at the rigid support (B) Stationary wave are obtained with node at the rigid support (C) Stationary waves are obtained with intensity varying periodically with distance (D) Stationary wave are obtained with intensity varying periodically with time

Tardigrade Admin · Accepted Answer

As the support is rigid, the wave is reflected in opposite phase hence at the support destructive interference takes place and node will be obtained. Due to nodes and antinodes at different positions, intensity of wave varies periodically with distance.

Q. A sinusoidal wave yi​=asin(ωt−kx) is reflected from a rigid support and the reflected wave superposes with the incident wave, yi​. Assume the rigid support to be at x=0,

Stationary wave are obtained with antinode at the rigid support

Stationary wave are obtained with node at the rigid support

Stationary waves are obtained with intensity varying periodically with distance

Stationary wave are obtained with intensity varying periodically with time

As the support is rigid, the wave is reflected in opposite phase hence at the support destructive interference takes place and node will be obtained. Due to nodes and antinodes at different positions, intensity of wave varies periodically with distance.

Q. A sinusoidal wave $y_{i} = a sin (ω t - k x)$ is reflected from a rigid support and the reflected wave superposes with the incident wave, $y_{i}$ . Assume the rigid support to be at $x = 0$ ,