What is the speed of light in a medium with an index of refraction \( n=1.50 \) ?
\( 2.00 \times 10^{8} \mathrm{~m} / \mathrm{s} \)
\( 5.00 \times 10^{7} \mathrm{~m} / \mathrm{s} \)
\( 1.50 \times 10^{8} \mathrm{~m} / \mathrm{s} \)
\( 4.50 \times 10^{8} \mathrm{~m} / \mathrm{s} \)

Answer

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Answer

\( v = 2.00 \times 10^{8} \mathrm{~m} / \mathrm{s} \)

Steps

Step 1 ：\( v = \frac{c}{n} \)

Step 2 ：\( v = \frac{3.00 \times 10^{8} \mathrm{~m} / \mathrm{s}}{1.50} \)

Step 3 ：\( v = 2.00 \times 10^{8} \mathrm{~m} / \mathrm{s} \)