Optics Question 953

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} $

Show Answer

Answer:

Correct Answer: A

Solution:

[a] In a prism $ r+r’=A $

$ \Rightarrow $ $ r=A-r’ $

$ \therefore $ $ r=60^{0}-(10+t^{2})=50-t^{2} $



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