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>> $A glass prism of refractive index 1.5 is$

Question

A glass prism of refractive index $1.5$ is placed in water of refractive index $1.33$ . The minimum value of the angle of the prism so that it will not be possible to have any emergent ray is :

A

$15 0^{\circ}$

B

$12 5^{\circ}$

C

$16 5^{\circ}$

D

$18 0^{\circ}$

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Updated on : 2022-09-05

Solution

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Correct option is B)

$μ_{p r i s m} =$ $1.5$
$μ_{w a t e r}$ $= 1.33$

$μ_{r} = \frac{1 . 5}{1 . 3 3}$

$θ_{c r i c} = s i n^{- 1} (\frac{1}{μ _{r}}) = s i n^{- 1} (\frac{1 . 3 3}{1 . 5}) = 62 . 5^{\circ}$

Maximum possible angle A is given by: $A = 2 θ_{c r i c} = 12 5^{\circ}$

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