A beam of light strikes a sheet of glass at an angle of 56.6° with the normal in air. You observe that red light makes an angle of 38.4° with the normal in the glass, while violet light makes a 36.4° degree angle.
1.What are the indexes of refraction of this glass for these colors of light?

2.What are the speeds of red and violet light in the glass?

(a). Index of refraction are = 1.344 & = 1.406

(b). The velocity of red light in the glass 2.23 ×

The velocity of violet light in the glass 2.13 ×

Explanation:

We know that

Law of reflection is

Here

= angle of incidence

= angle of refraction

(a). For red light

1 × = ×

= 1.344

For violet light

1 × = ×

= 1.406

(b). Index of refraction is given by

= 1.344

2.23 ×

This is the velocity of red light in the glass.

The velocity of violet light in the glass is given by

2.13 ×

This is the velocity of violet light in the glass.

here we know that ball will drop down by total distance 3.2 m

so here we know that

now using kinematics

now in the same time it will cover horizontal distance of 0.75 m

so speed of the ball will be