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Light travels through a glass plate of thickness $t$ and having refractive index $\mu$. If $c$ be the velocity of light in vacuum, time taken by the light to travel through this thickness of glass is
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Verified Answer
The correct answer is:
$\frac{\mu t}{c}$
Thickness of glass plate $=t$
Refractive index $=\mu$
Velocity of light = c
$$
\begin{array}{r}
\text { Speed of light }=\frac{\text { distance }}{\text { time }}=\frac{t}{T} \\
\qquad T=\frac{t}{\text { speed of light }}
\end{array}
$$
Speed of light in glass plate
$$
\begin{array}{l}
v=\frac{c}{\mu} \\
T=\frac{t}{c / \mu}=\frac{\mu t}{c}
\end{array}
$$
$$
\left(\because \mu=\frac{c}{v}\right)
$$
Refractive index $=\mu$
Velocity of light = c
$$
\begin{array}{r}
\text { Speed of light }=\frac{\text { distance }}{\text { time }}=\frac{t}{T} \\
\qquad T=\frac{t}{\text { speed of light }}
\end{array}
$$
Speed of light in glass plate
$$
\begin{array}{l}
v=\frac{c}{\mu} \\
T=\frac{t}{c / \mu}=\frac{\mu t}{c}
\end{array}
$$
$$
\left(\because \mu=\frac{c}{v}\right)
$$
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