Equation of a plane progressive wave is given by `y=0.6 sin 2pi(t-(x)/(2)).` On reflection from a denser medium, its amplitude becomes `2//3` of the amplitude of the incident wave. The equation of the reflected wave is

Options

A. `y=0.6sin2pi(t+(x)/(2))`
B. `y=-0.4sin2pi(t+(x)/(2))`
C. `y=0.4sin2pi(t+(x)/(2))`
D. `y=-0.4sin2pi(t-(x)/(2))`

Answer

B

Explanation

`y_(r )=A_(r )sin2pi(t+(x)/(2)+pi)`
`A_(r )=(2)/(3)xxA_(t)=(2)/(3)xx0.6=0.4` units `y_(r )=-0.4sin2pi(t+(x)/(2))`