Question
Parallel rays are incident on a transparent sphere along its one diameter. After refrection these rays converge at the other end of this diameter the refractive index of the sphere is
✓
Answer
$\frac{\mu_{2}}{v}-\frac{\mu_{1}}{u}=\frac{\mu_{2}-\mu_{1}}{R}$
$\mathrm{v}=2 \mathrm{R}, \mathrm{u}=\infty, \mathrm{R}=+\mathrm{R}, \mu_{1}=1, \mu_{2}=\mu$
$\frac{\mu}{2 R}-\frac{1}{\infty}=\frac{\mu-1}{R} \Rightarrow \mu=2$
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