Question

Let $i$ be the angle of incidence and $r$ be the angle of refraction, then according to Snell’s law:

• A. $sini={\left(sinr\right)}^2$
• B. $sini=k\left(sinr\right)$ [$k=$ constant]
• C. $cosi=k\left(cosr\right)$
• D. None of the above

Answer 1

The correct option is B $sini=k\left(sinr\right)$ [$k=$ constant]

Given, angle of incidence $=i$ and,
angle of refraction $=r$
According to Snell’s law, ratio of sine of angle of incidence to the sine of angle of refraction is a constant.
i.e, $\frac{sini}{sinr}$ = constant
Let the constant be $k$
$\therefore \frac{sini}{sinr}=k\Rightarrow sini=k\left(sinr\right)$