Answer:
Angle of light at which it will travel in the quartz is given as
![\theta = 25.6^o](https://img.qammunity.org/2021/formulas/physics/middle-school/w974e9r0z70ux928jnyuc12c0isw6ez7qk.png)
Step-by-step explanation:
As we know that the refractive index of a medium is the ratio of speed of light in air and speed of light in the medium
So we will have
![\mu = (c)/(v)](https://img.qammunity.org/2021/formulas/physics/middle-school/k4gwox2vggoc1d3xi6v3hs0oooi81310qq.png)
here we have
![\mu = (3 * 10^8)/(2.06 * 10^8)](https://img.qammunity.org/2021/formulas/physics/middle-school/wejgjja14vtgdpqogm0xhaivm7vnsc9nch.png)
![\mu = 1.456](https://img.qammunity.org/2021/formulas/physics/middle-school/88a8xai5f410crzz951acov10dhtdcij61.png)
now by Snell's law we have
![n_1 sin\theta_1 = n_2 sin\theta_2](https://img.qammunity.org/2021/formulas/physics/middle-school/20teunsxsssjh6uap2im8kwoxm848o7bel.png)
![1 sin39 = 1.456 sin\theta](https://img.qammunity.org/2021/formulas/physics/middle-school/osn6wrzh0y6uywcemjbwj7bmm1fos6thi9.png)
![\theta = 25.6^o](https://img.qammunity.org/2021/formulas/physics/middle-school/w974e9r0z70ux928jnyuc12c0isw6ez7qk.png)