Optics Question 830

Question: r and r’ denote the angles inside an equilateral prism, as usual, in degrees. Consider that during some time interval from $ t=0 $ to $ t=t $ , $ r’ $ varies with time as $ r’=10+t^{2} $ . During this time r will vary as (assume that r and r’ are in degree)

Options:

A) $ 50-t^{2} $

B) $ 50+t^{2} $

C) $ 60-t^{2} $

D) $ 60+t^{2} $

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Answer:

Correct Answer: A

Solution:

[a] In a prism: $ r+r’=A\Rightarrow r=A-r’ $

$ \therefore r=60{}^\circ -( 10+t^{2} )=50-t^{2} $



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