A light of ray is incident at an angle of 58degrees on the plane surface of a block of glass of refractive index 1.60. Some light is reflected on the other side of the normal at the same angle as the angle of incidence.
Find:
a.the angle between the light reflected from the surface and the light refracted into the glass
b.the deviation of the refracted ray
(a) sin r = sini/n =sin 58°/1.6=0.53
r =32 °
α=180°-58°-32°=90°
(b) δ= 58 -32 =26°
Thank you!
To find the answers to the given questions, we can use the laws of reflection and refraction.
a. The angle between the light reflected from the surface and the light refracted into the glass:
According to the law of reflection, the angle of reflection is equal to the angle of incidence. Therefore, the angle between the reflected light and the surface normal would be equal to 58 degrees.
b. The deviation of the refracted ray:
To find the deviation of the refracted ray, we need to calculate the angle of refraction. The angle of refraction can be determined using Snell's law, which states that the ratio of the sines of the angles of incidence and refraction is equal to the ratio of the refractive indices of the two media:
n1 * sin(theta1) = n2 * sin(theta2)
Here, n1 is the refractive index of the medium the incident ray is coming from (usually air, which has a refractive index close to 1), n2 is the refractive index of the medium the ray is entering (glass with a refractive index of 1.60), theta1 is the angle of incidence (58 degrees), and theta2 is the angle of refraction (which we need to calculate).
Plugging in the values, we have:
1 * sin(58 degrees) = 1.60 * sin(theta2)
Now, let's solve for theta2:
sin(theta2) = (sin(58 degrees)) / (1.60)
theta2 = arcsin((sin(58 degrees)) / (1.60))
Using a calculator, we find that theta2 is approximately 36.7 degrees.
Finally, to calculate the deviation of the refracted ray, we subtract the angle of incidence (58 degrees) from the angle of refraction (36.7 degrees):
Deviation = 58 degrees - 36.7 degrees
The deviation of the refracted ray is approximately 21.3 degrees.