Chapter 9, Problem 5P

To determine

The angle of refraction when light passes from air to glass with help of given figure $9.34$ in the text.

Answer to Problem 5P

$\begin{array}{l}\text{Angle of incident Angle of refraction}\\ {\text{ 5}}^o{3}^o\\ {10}^o{7}^o\\ {20}^o{14}^o\\ {40}^o{27}^o\end{array}$.

Explanation of Solution

Calculation:

This is figure 9.34.

When we closely observe the figure, we can estimate the angle of refraction. So, we can see the following estimation as

$\begin{array}{l}\text{Angle of incident Angle of refraction}\\ {\text{ 5}}^o{3}^o\\ {10}^o{7}^o\\ {20}^o{14}^o\end{array}$

Here, we can observe that as the angle of incidence increases, angle of refraction also increases. So, we can see that if we do the angle of incidence double, then, angle of refraction also be double.

Similarly, if we angle of incidence is $2\times {20}^o={40}^o$, angle of refraction would be $2\times {14}^0={28}^o$.

When we see the figure, we can also get angle of refraction as $\text{approx}\text{. }{27}^o$. So, we can see that our estimation is very close to the actual result from the figure.

Conclusion:

Thus, angle of incident changes as the angle of refraction.