Question

A ray of light is incident from one medium $(\mu =1.5)$ into another medium. If the angle of incidence and refraction are, respectively, $60$ and $45$, then what will be the refractive index of the denser medium?

• A. $1.63$
• B. $1.43$
• C. $1.83$
• D. Data insufficient

Answer 1

The correct option is C $1.83$

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Hence from Snell's law
${\mu }_1\sin i={\mu }_{2}sinr$
$1.5\sin {60}^0={\mu }_2\sin {45}^0$
$1.5\frac{\sqrt{3}}{{\sqrt{2}}^2}={\mu }_2\frac{1}{\sqrt{2}}$
${\mu }_2=1.5\sqrt{\frac{3}{2}}$
${\mu }_2=1.83$