First slide

Ray optics

Question

A thin prism $P_{1}$ with angle $3^{0}$ is made of glass of refractive index 1.52 is combined with another prism $P_{2}$ made of glass of refractive index 1.65 to produce direct vision combination. The angle of prism $P_{2}$ is

Easy

A

$4^{0}$
B

${2.8}^{0}$
C

${3.8}^{0}$
D

${2.4}^{0}$

Solution

(4)
For direct vision combination (dispersion without deviation),
$\begin{array}{l} δ_{1} = δ_{2} \\ \Rightarrow A_{1} (μ_{1} - 1) = A_{2} (μ_{2} - 1) \\ \Rightarrow A_{2} = \frac{3^{0} \times (1.52 - 1)}{(1.65 - 1)} = {2.4}^{0} \end{array}$

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