Velocity of light in vacuum is 3 × 108 m/s and the refractive index of glass is 1.5. The time taken by light in travelling 3 km in glass will be1.5 × 10-5 s1.5 × 10-6 s1.5 × 10-7 s1.5 × 10-4 s
Question
Velocity of light in vacuum is 3 × 108 m/s and the refractive index of glass is 1.5. The time taken by light in travelling 3 km in glass will be1.5 × 10-5 s1.5 × 10-6 s1.5 × 10-7 s1.5 × 10-4 s
Solution
To solve this problem, we first need to find the speed of light in glass. We can do this by dividing the speed of light in vacuum by the refractive index of glass.
Speed of light in glass = Speed of light in vacuum / Refractive index of glass = 3 × 10^8 m/s / 1.5 = 2 × 10^8 m/s
Next, we need to convert the distance from kilometers to meters because the speed of light is in meters per second.
Distance = 3 km = 3 × 10^3 m
Finally, we can find the time taken by light to travel 3 km in glass by dividing the distance by the speed of light in glass.
Time = Distance / Speed = 3 × 10^3 m / 2 × 10^8 m/s = 1.5 × 10^-5 s
So, the time taken by light in travelling 3 km in glass will be 1.5 × 10^-5 s.
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