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Q. $r$ and $r^{\prime}$ denote the angles inside an equilateral prism, as usual; in degrees.
Consider that during some time interval from $t=0$ to $t=t, r^{\prime}$ varies with time as $r^{\prime}=$ $10+t^2$. During this time $r$ will vary as (assume that $r$ and $r^{\prime}$ are in degree) image

Ray Optics and Optical Instruments

Solution:

In a prism: $r+r^{\prime}=A \Rightarrow r=A-r^{\prime}$
$ \therefore r=60^{\circ}-\left(10+t^2\right)=50-t^2 $