Question

A beam of EMW in air strikes a sheet of a glass at 75 degrees with the normal in air. You observe that red light makes an angle of 38.1 degrees with the normal in the glass, while violet light makes a 36.7 degree angle.
1. What are the indexes of refraction of this glass for these colors of light?
Answer in the order indicated. Separate your answers with a comma.
2. What are the speeds of red and violet light in the glass?

Answer 1

Answer:

a) 1.57, 1.61

B 1.91x10^8m/s , 1.86 x 10^8m/s

Explanation:

Ok we know that refractive index is given as = sin i/ sin r

And i is the angle of incidence in the air and r is angle of refraction in the glass,

So we can sa y

for red light n = sin75/sin38.1 = 1.57

and for violet, n =sin75/sin36.7 = 1.61

So

(a) 1.57, 1.61

(b) we know that

Refractive index n = c/v,

where c is speed off light in air and v is speed of light in glass,

So , v = c/n

for red light v = c/1.57 = 1.91 x 10^8 m/s

and for violet light, v = c/1.61 =

1.86 x 10^8 m/s