# A ray of light passes through an equilateral prism such that the angle of incidence is equal to the angle of emergence and latter is equal to 3/4th the angle of prism. The angle of deviation is: Option 1) $45\degree$ Option 2) $39\degree$ Option 3) $20\degree$ Option 4) $30\degree$

Condition of maximum deviation -

$i=e$

- wherein

$\delta _{min}= 2i-A$

$\mu = \frac{\sin \left ( \frac{\delta _{m}+A}{2} \right )}{\sin \left ( A/2 \right )}$

i=e $\Rightarrow$ angle of deviation  is minimum

$i=e =\frac{3}{4}A$

or

$i=e =45^{\circ}$

$\delta =i+e-A =2i-A =2\times 45^{\circ}-60 =30^{\circ}$

Option 1)

$45\degree$

Incorrect

Option 2)

$39\degree$

Incorrect

Option 3)

$20\degree$

Incorrect

Option 4)

$30\degree$

Correct

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