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Geometrical Optics

Section: Physics

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Question : 17 of 59

Marks: +1, -0

For a prism of prism angle

θ=60^{\circ}

, the refractive indices of the left half and the right half are, respectively,

n_{1}

n_{2}

n_{2} \geq n_{1}

) as shown in the figure. The angle of incidence

i

is chosen such that the incident light rays will have minimum deviation if

n_{1}=n_{2}=n=1.5

. For the case of unequal refractive indices

n_{1}=n

n_{2}=n+\Delta n

\Delta n \ll n

), the angle of emergence

e=i+\Delta e

. Which of the following statement(s) is (are) correct?

[JEE Adv 2021 P2]

The value of $\Delta e$ (in radians) is greater than that of $\Delta n$
$\Delta e$ is proportional to $\Delta n$
$\Delta e$ lies between $2.0$ and $3.0$ milliradians, if $\Delta n = 2.8 \times 10^{-3}$
$\Delta e$ lies between $1.0$ and $1.6$ milliradians, if $\Delta n = 2.8 \times 10^{-3}$

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