Question

Refractive index of glass is 2.0 and that of water is 1.0 if the speed of light in water is 2.5×
${10}^{8}$
m/s what is the speed of light in a glass.

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Answer for 4 Mark's

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Answer 1

It is given that the refractive index of water is 1.0 and speed of light in water is 2.5 x 10^8 m / s.



From the properties of light, we know :
Refractive index = ( speed of light in vaccum ) / ( speed of light in given medium )



Thus,
= > 1.0 = ( speed of light in vaccum ) / ( speed of light in water )


= > 1.0 = ( speed of light in vaccum ) / ( 2.5 x 10^8 m / s )

= > 2.5 x 10^8 m / s= speed of light in vaccum.



Thus,
= > Refractive index of glass = ( speed of light in vaccum ) / ( speed of light in glass )


= > 2.0 = ( 2.5 x 10^8 m / s ) / ( speed of light in glass )


= > speed of light in glass = 1.25 x 10^8 m / s


Therefore the speed of light in glass is 1.25 x 10^8 m / s.
$\:$

Answer 2

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