As shown in the figure, after passing through the medium 1 . The...

As shown in the figure, after passing through the medium $1$ . The speed of light ${v}_{2}$ in medium $2$ will be :
(Given $c = 3 \times {10}^{8}m{s}^{- 1}$ )

As shown in the figure, after passing through the medium 1 . The speed of light v _ 2 in medium 2 will be : (Given c =

Options

A $1 . 0 \times {10}^{8}m{s}^{- 1}$
B $0 . 5 \times {10}^{8}m{s}^{- 1}$
C $1 . 5 \times {10}^{8}m{s}^{- 1}$
D $3 . 0 \times {10}^{8}m{s}^{- 1}$

Correct answer

A. $1 . 0 \times {10}^{8}m{s}^{- 1}$

Step-by-step solution

The refractive index of a medium is given by, $n = \sqrt{{\mu}_{r}{ε}_{r}}$ .
For medium $2$ , ${n}_{2} = \sqrt{1 \times 9} = 3$
Now speed of light in a medium will be,
$\dfrac{c}{v} = n ⇒ v = \dfrac{3 \times {10}^{8}}{3} = 1 \times {10}^{8}m{s}^{- 1}$

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