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  4. A parallel narrow beam of light is incident on the surface of a transparent hemisphere of radius R and refractive index μ =1.5 as shown. The distance of the image formed by refraction only (at the spherical surface only) from P is <img class=img-fluid question-image alt=Question src=https://cdn.tardigrade.in/q/nta/p-fhmsenmoxjx1y6hd.jpg />

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Q. A parallel narrow beam of light is incident on the surface of a transparent hemisphere of radius $R$ and refractive index $\mu =1.5$ as shown. The distance of the image formed by refraction only (at the spherical surface only) from $P$ is
Question

NTA AbhyasNTA Abhyas 2022

Solution:

Applying, $\frac{\mu _{2}}{v}-\frac{\mu _{1}}{u}=\frac{\mu _{2} - \mu _{1}}{R}$ we get,
$\frac{1 . 5}{v}-\frac{1}{\infty }=\frac{1 . 5 - 1 . 0}{+ R}$
$\therefore v=+3R$ .