Question

Answer this with full steps !!!

Answer 1

Hey There!!


Here, the thickness of window is 4 mm, and the refractive index is 1.5


Now, Refractive Index is defined as:

$\eta = \frac{\text{Velocity of light in vacuum}}{\text{Velocity of light in medium}} \\ \\ \\ \implies 1.5 = \frac{c}{v} \\ \\ \\ \implies 1.5 = \frac{3 \times 10^8}{v} \\ \\ \\ \implies v = \frac{3 \times 10^8}{1.5} \\ \\ \\ \implies v = 2 \times 10^8 \, \, m / s$


Thus, velocity of light in the glass is $2 \times10^8$ m/s

Also, the distance to be covered is 4 mm.

We can write:

$Velocity = \frac{Distance}{Time} \\ \\ \\ \implies v = \frac{d}{t} \\ \\ \\ \implies t = \frac{d}{v} \\ \\ \\ \implies t = \frac{4 \times 10^{-3} \, \, m}{2\times 10^8 \, \, m / s} \\ \\ \\ \implies \boxed{t=2 \times 10^{-11} \, \,s}$

Thus, the answer is Option (1) $2\times 10^{-11} \, \, s$


Hope it helps
Purva
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