Question #213663

 A ray of light in corn oil is incident striking with an angle of incidence of 40 degrees on water. Calculate the angle of refraction to the nearest degree


1
Expert's answer
2021-07-09T08:32:17-0400

The angle of refraction is given by the Snell's law:


sinin1=sinrn2\sin i\cdot n_1 = \sin r\cdot n_2

where i=40°i = 40\degree is the angle of incidence, rr is the angle of refraction, and n1=1.47,n2=1.33n_1 = 1.47, n_2 = 1.33 are the indices of refraction of the oil and water respectively.

Thus, obtain:


r=arcsin(sinin1n2)=arcsin(sin40°1.471.33)45°r = \arcsin\left( \sin i\cdot \dfrac{n_1}{n_2} \right) = \arcsin\left( \sin40\degree\cdot \dfrac{1.47}{1.33} \right) \approx 45\degree

Answer. 45°45\degree.


Need a fast expert's response?

Submit order

and get a quick answer at the best price

for any assignment or question with DETAILED EXPLANATIONS!

Comments

No comments. Be the first!
LATEST TUTORIALS
APPROVED BY CLIENTS