Find the speed of light in medium 'a' if speed of light in medium 'b' is `c//3`, where c =speed of light in vacuum and light refracts from medium 'a' to medium 'b' making `45^(@)` and `60^(@)`, respectively, with the normal.

Explanation

To find the speed of light in medium 'a' given the speed of light in medium 'b' is \( \frac{c}{3} \), where \( c \) is the speed of light in vacuum, and the angles of incidence and refraction are \( 45^\circ \) and \( 60^\circ \) respectively, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Given Information:**
- Speed of light in medium 'b' (\( V_b \)) = \( \frac{c}{3} \)
- Angle of incidence (\( i \)) = \( 45^\circ \)
- Angle of refraction (\( r \)) = \( 60^\circ \)
...