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$If the refractive index of glass is , what is the speed of light in glass given that the speed of light in vacuum is ?$

A. $1.5 \times 1 0^{8} m/s$
B. $2.0 \times 1 0^{8} m/s$
C. $3.0 \times 1 0^{8} m/s$
D. $4.5 \times 1 0^{8} m/s$

Show correct answer & step-by-step solution

Correct answer: B — $2.0 \times 1 0^{8} m/s$

Solution

$The speed of light in a medium v is given by v = \frac{c}{n} .$
$Given c = 3 \times 1 0^{8} m/s and n = 1.5 .$
$Calculating v = \frac{3 \times 1 0 ^{8}}{1.5} = 2 \times 1 0^{8} m/s .$
$Hence the answer is (B).$

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