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(B) $1$. The incident wave travels in the positive $x$-direction,so the reflected wave will travel in the negative $x$-direction. This changes the sig

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$y = -0.4 \sin 2\pi (t + x/2)$

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(B) $1$. The incident wave travels in the positive $x$-direction,so the reflected wave will travel in the negative $x$-direction. This changes the sign of the $x$ term inside the sine function from $-x/2$ to $+x/2$.$2$. When a wave reflects from a denser medium,it undergoes a phase change of $\pi$ radians $(180^{\circ})$,which introduces a negative sign to the amplitude.$3$. The new amplitude is given as $2/3$ of the incident amplitude: $A' = (2/3) 	imes 0.6 = 0.4$.$4$. 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 $y = 0.6 \sin 2\pi (t - x/2)$. 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:

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