The refractive indicescof glass and water with respect to air and 3/2 and 4/3 respectively. if speed of light in glass 2×10^8,find the speed of light light in water . pls answer me with solution?

Question

Answer

The refractive indices of glass and water with respect to air are given as 3/2 and 4/3 respectively. We are asked to find the speed of light in water when the speed of light in glass is given as 2×10^8 m/s.

To solve this problem, we can use the formula for the speed of light in a medium:

v = c / n

where v is the speed of light in the medium, c is the speed of light in vacuum (approximately 3×10^8 m/s), and n is the refractive index of the medium.

Let's calculate the speed of light in water using the given refractive index:

1. Speed of light in glass:
Given: n_glass = 3/2
Using the formula, we have:
v_glass = c / n_glass
= (3×10^8 m/s) / (3/2)
= (3×10^8 m/s) * (2/3)
= 2×10^8 m/s

2. Speed of light in water:
Given: n_water = 4/3
Using the formula, we have:
v_water = c / n_water
= (3×10^8 m/s) / (4/3)
= (3×10^8 m/s) * (3/4)
= 2.25×10^8 m/s

Therefore, the speed of light in water is 2.25×10^8 m/s.

In summary:
- Speed of light in glass: 2×10^8 m/s
- Speed of light in water: 2.25×10^8 m/s

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