Question

A narrow beam of light is travelling through a transparent liquid. It meets the surface as shown, at

an angle of incidence of 40°. The refractive index of the liquid is 1.5.
air
liquid
40
What is the angle of refraction as the light enters the air?
A 25
B 27
C 60°
D 75

Answer 1

the correct answer is B) 27.

Step-by-step explanation:

To find the angle of refraction, you can use the formula:

n1 * sin(angle of incidence) = n2 * sin(angle of refraction)

where n1 and n2 are the refractive indices of the two media (in this case, air and the liquid), and the angles are measured from the normal to the surface.

Plugging in the values from the problem, we have:

1 * sin(40) = 1.5 * sin(angle of refraction)

Solving for the angle of refraction, we get:

angle of refraction = sin^-1(1/1.5 * sin(40))

Using a calculator or a table of trigonometric functions, we can find that the value of sin^-1(1/1.5 * sin(40)) is approximately 27.3 degrees.

Therefore, the correct answer is B) 27.