Question

# Equation of plane progressive wave is given by $$y = 0.6 sin 2\pi\left(t - \dfrac{x}{2}\right)$$. 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

A
y=0.6sin2π(t+x2)
B
y=0.4sin2π(t+x2)
C
y=0.4sin2π(t+x2)
D
y=0.4sin2π(tx2)

Solution

## The correct option is B $$y =- 0.4 sin 2\pi\left(t + \dfrac{x}{2}\right)$$Amplitude of reflected wave $$= \dfrac{2}{3} \times 0.6 = 0.4$$On reflection from a denser medium there is phase change of $$\pi$$.$$\therefore$$ Equation of reflected wave is$$y = 0.4 sin 2\pi\left(t + \dfrac{x}{2} + \pi\right) = - 0.4 sin 2\pi\left(t + \dfrac{x}{2}\right)$$Physics

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