The equation of a progressive wave is
`y = 0.8 sin 4pi [t - (x)/(5)]`
When it is reflected at a rigid support its amplitude becomes `((3)/(4))` of its previous value. The equation of the reflected wave is

Options

A. `0.8 sin 4pi [t + (x)/(5)]`
B. `0.6 sin 4pi [t + (x)/(5)]`
C. `0.6 sin 4pi [t - (x)/(5)]`
D. `-0.8 sin 4pi [t + (x)/(5)]`

Answer

B

Explanation

Amplitude of reflected wave `= (3)/(4) xx 0.8 = 0.6` and it travels in the negative x direction
`:.` The equation `y = 0.6 sin 4pi [t + (x)/(5)]`