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A ray of light moving along the vector \( (\hat{i}-2 \hat{j}) \) undergoes refraction at an interface of two media,
P which is \( x-z \) plane. The refractive index for \( y0 \) is 2

W while for \( y0 \) it is \( \frac{\sqrt{5}}{2} \). The unit vector along the refracted ray is
(a) \( \frac{-3 \hat{i}-5 \hat{j}}{\sqrt{34}} \)
(b) \( \frac{-(4 \hat{i}-5 \hat{j})}{5} \)
(c) \( \frac{-3 \hat{i}-4 \hat{j}}{5} \)
(d) \( \frac{4 \hat{i}-3 \hat{j}}{5} \)
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