(a) The refractive index of glass is 1.5. What is the speed of light in glass? Speed of light in vacuum is 3.0 × 108 m s−1 (b) Is the speed of light in glass independent of the colour of light? If not, which of the two colours red and violet travels slower in a glass prism?
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Explanation:
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(a) Thespeed of light in a vacuum i.e., 3 × 108
m/s (approximately) is a universal
constant. It is not affected by the motion of the source, the observer, or both. Hence,
the given factor does not affect the speed of light in a vacuum.
(b) Out of the listed factors, the speed of light in a medium depends on the wavelength
of light in that medium.
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★Given:
Refractive index of glass (μ) = 1.5
v = Velocity of light in a medium
Now, the Refractive index of medium is given as,
μ = Velocity of light in vacuum/ velocity of light in medium
1.5 =3.8m/sec÷v m/sec
v = 2×10⁸m/sec
Speed of light in glass is 2 × 10⁸ m/s.
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