Light enters from the air to glass having the refractive index 1.50. what is the speed of light in the glass ? the speed of light in vacuum is 3×20^8
For class 10
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Answers
Question:
Light enters from the air to glass having the refractive index 1.50. what is the speed of light in the glass ? the speed of light in vacuum is 3×20^8
Answer:
Speed of light in vacuum (c) = 3 × 108 ms-1
Refractive index of glass (ng) = 1.50
Refractive index of a medium = Speed of light in vacuum/Speed of light in the medium
Refractive index of glass = Speed of light in vacuum/Speed of light in the glass
Speed of light in the glass (v) = Speed of light in vacuum/ Refractive index of glass
v = c/ng
v = (3 × 108)/1.50
v = 2 × 108 ms-1
Explanation:
Given,
Refractive index ( n ) = 1.50
Speed of light in vacuum ( c ) = 3 x 10^8 m/s
To find :
Speed of light in glass ( v ) = ?
Formula : -
n = c / v
v = c / n
= ( 3 x 10^8 ) / 1.5
Multiply 10 to both numerator and denominator,
= ( 30 x 10^8 ) / 15
= ( 30 / 15 ) x 10^8
n = 2 x 10^8 m/s
Therefore,
the speed of light in the glass is 2 x 10^8 m/s.