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If the speed of light in air and glass are $\rm 3 \times 10^{8}$ m/s and $\rm 2 \times 10^{8}$ m/s respectively, then calculate the refractive index of glass with respect to air.
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Solution
Given:
Speed of light in air ( c ) : \(\rm 3 × 10^{8} m/s \)
Speed of light in glass ( v ) : \(\rm 2 × 10^{8} m/s\)
The refractive index of glass with respect to air ( \(\rm µ \) ) is given by:
\(\rm µ \)= $\frac{c}{v}$
\(\rm or,\)\(\rm µ \)= $\frac{3 × 10^{8}}{2 × 10^{8}}$
\(\rm or,\)\(\rm µ \) = $\frac{3}{2}$
\(\rm or,\)\(\rm µ \) = \(\rm 1.5 \)
Thus, the refractive index of glass with respect to air is 1.5.
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