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(B) The incident wave is traveling in the positive $x$-direction,given by $y = 0.6 \sin 2\pi (t - x/2)$.Upon reflection from a denser medium,the wave

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$y = -0.4 \sin 2\pi \left( t + \frac{x}{2} \right)$

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(B) The incident wave is traveling in the positive $x$-direction,given by $y = 0.6 \sin 2\pi (t - x/2)$.Upon reflection from a denser medium,the wave travels in the opposite direction (negative $x$-direction),so the term $(t - x/2)$ becomes $(t + x/2)$.Additionally,reflection from a denser medium introduces a phase change of $\pi$ $(180^{\circ})$,which is equivalent to a negative sign.The new amplitude is given as $A' = \frac{2}{3} 	imes 0.6 = 0.4$.Combining these,the equation of the reflected wave is $y = -0.4 \sin 2\pi (t + x/2)$.

The equation of a plane progressive wave is given by $y = 0.6 \sin 2\pi \left( t - \frac{x}{2} \right)$. 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:

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