Question

Thee refractive indices of glass and water with respect to air are 3/2 and 4/3 respectively. If
speed of light in glass is 2 × 10^8
m/s, find the
speed of light in water.
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Answer 1

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$\sf \: i) \: n_g = \dfrac{c}{v_g}$

$\rightarrow \sf \: \dfrac{3}{2} = \dfrac{c}{2 \times {10}^{8} }$

$\rightarrow \sf \: c = \dfrac{3}{2} \times 2 \times {10}^{8}$

$\rightarrow \sf \: c = 3 \times {10}^{8} m {s}^{ - 1}$

$\sf \: i) \: n_w= \dfrac{c}{v_w}$

$\rightarrow \sf \: \dfrac{4}{3} = \dfrac{3 \times {10}^{8} }{v_w }$

$\rightarrow \sf \: v_w \: = \dfrac{6 \times {10}^{8} }{4}$

$\rightarrow \sf \: v_w \: = 2.25 \times {10}^{8} m {s}^{ - 1}$

Hence, we obtained the speed of light in water = $\sf\: 2.25 \times {10}^{8} m {s}^{ - 1}$

Answer 2

Explanation:

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