SATHEE: Optics Question 95

Optics Question 95

Question: An achromatic prism is made by crown glass prism $(A_{c} = 19^{o})$ and flint glass prism $(A_{F} = 6^{o})$ . If $^{C} μ_{v} = 1.5$ and $^{F} μ_{v} = 1.66$ , then resultant deviation for red coloured ray will be

Options:

A) 1.04°

B) 5°

C) 0.96°

D) 13.5°

Show Answer

Answer:

Correct Answer: D

Solution:

For achromatic combination $ω_{C} = - ω_{F}$

${[(μ_{v} - μ_{r}) A]}_{C} = - {[(μ_{v} - μ_{r}) A]}_{F}$

$\Rightarrow$ ${[μ_{r} A]}_{C} + {[μ_{r} A]}_{F} = {[μ_{v} A]}_{C} + {[μ_{v} A]}_{F}$

$=$

$1.5 \times 19 + 6 \times 1.66 = 38.5$ Resultant $δ = {[(μ_{r} - 1) A l]}_{C} + {[(μ_{r} - 1) A]}_{F}$

$=$

${[μ_{r} A]}_{C} + {[μ_{r} A]}_{F} - (A_{C} + A_{F})$ = $38.5 - (19 + 6) = {13.5}^{o}$

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Optics Question 95

Question: An achromatic prism is made by crown glass prism (Ac=19o) and flint glass prism (AF=6o) . If Cμv=1.5 and Fμv=1.66 , then resultant deviation for red coloured ray will be

Options:

Answer:

Solution:

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Question: An achromatic prism is made by crown glass prism $(A_{c} = 19^{o})$ and flint glass prism $(A_{F} = 6^{o})$ . If $^{C} μ_{v} = 1.5$ and $^{F} μ_{v} = 1.66$ , then resultant deviation for red coloured ray will be