Travelling wave travels in medium '1' and enters into another medium '2' in which it's speed gets decreased to $25 %$ . Then magnitude of ratio of amplitude of transmitted to reflected wave is

\frac{6}{5}

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\frac{2}{3}

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\frac{1}{7}

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\frac{5}{9}

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Solution

The correct option is B $\frac{2}{3}$
$V_{2} = d \frac{V_{1}}{4} \frac{A_{t}}{A_{r}} = \frac{(\frac{2 V_{2}}{V_{2} + V_{1}})}{(\frac{V_{2} - V_{1}}{V_{2} + V_{1}})} = (\frac{2 V_{2}}{V_{2} - V_{1}}) (\frac{2 \frac{V_{1}}{4}}{\frac{V_{1}}{4} - V_{1}}) = \frac{2 \frac{V_{1}}{4}}{3 \frac{V_{1}}{4}} = \frac{2}{3}$

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