What is the time taken in seconds to cross a glass plate of...

What is the time taken in seconds to cross a glass plate of thickness $6 \mathrm{~mm}$ and $\mu=2.0$ by light ?
(A) $8 \times 10^{-11}$
(B) $4 \times 10^{-11}$
(C) $2 \times 10^{11}$
(D) $16 \times 10^{-11}$

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Key Concepts

Refractive Index

The refractive index of a medium quantifies how much the speed of light is reduced relative to its speed in a vacuum. It is defined by the ratio of the speed of light in a vacuum (c) to its speed in the medium, and is critical in determining how light propagates within various materials.

Speed of Light in a Medium

When light travels through a medium other than vacuum, its speed decreases according to the medium’s refractive index. The relationship is given by c/?, where c is the speed of light in a vacuum and ? is the refractive index. This concept is essential for calculating time delays as light passes through materials.

Time of Flight for Light in a Medium

The time taken for light to traverse a given distance in a medium is determined by dividing the distance by the speed of light in that medium. This concept is utilized to calculate the duration required for light to cross a material of a known thickness, factoring in the reduction in speed due to the refractive index.

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