Question

if reflective index of glass slab is root 2and sini is 45 degree what is the sinr
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Answer 1

Answer

• Value of sin r = ¹/₂

To Find

• Value of sin r

Concept Used

Snell's Law

• A/c to Snell's Law , Refractive Index is equals to ratio of sin i and sin r

$\bigstar \;\;\; \bf Refractive\ Index=\dfrac{sin\ i}{sin\ r}$

Solution

Refractive Index of a glass slab , RI = √2

Value of sin i = 45°

Value of sin r = ?

Apply Formula .

$\implies \rm R.I=\dfrac{sin\ i}{sin\ r}\\\\\implies \rm \sqrt{2}=\dfrac{sin\ 45}{sin\ r}\\\\\implies \rm sin\ r=\dfrac{sin\ 45}{\sqrt{2}}\\\\\implies \rm sin\ r=\dfrac{\frac{1}{\sqrt{2}}}{\sqrt{2}}\\\\\implies \rm sin\ r=\dfrac{1}{\sqrt{2} \times \sqrt{2}}\\\\\implies \bf sin\ r=\dfrac{1}{2}\\\\\implies \rm r=sin^{-1}\bigg(\dfrac{1}{2}\bigg)\\\\\implies \bf r=30^0$

So , Value of sin r = ¹/₂

Value of r = 30°