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  4. A parallel beam of light is incident on the surface of a transparent hemisphere of radius R and refractive index 2.0 as shown in figure. The position of the image formed by refraction at the first surface is:

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Q. A parallel beam of light is incident on the surface of a transparent hemisphere of radius $R$ and refractive index $2.0$ as shown in figure. The position of the image formed by refraction at the first surface is:Physics Question Image

Solution:

Using, $\frac{\mu}{ v }-\frac{1}{ u }=\frac{\mu-1}{ R }$
or $\frac{2}{ v }-\frac{1}{\infty}=\frac{2-1}{ R }$
$v =2\, R$