The refractive index of a liquid is \(1.5\), if the velocity of light in a vacuum is \(3.0 \times 10^{8} ms ^{2}\), the velocity of light in the liquid is ____________
A. \(1.5 \times 10^{8} ms ^{-2}\) B. \(2.0 \times 10^{8} ms ^{-1}\) C. \(3.1 \times 10^{8} ms ^{-}\) D. \(4.5 \times 10^{8} ms ^{-1}\) E. \(9.0 \times 10^{8} ms ^{-1}\)
Correct Answer: B
Explanation
\(\eta_{1}=1.5, \eta=\frac{\text { velocity of light in vacuum }}{\text { velocity in liquids }}\) \(1.5=\frac{3.0 \times 10^{8}}{x}\) \(x=\frac{3.0 \times 10^{8}}{1.5}\) \(x=2.8 \times 10^{8} ms ^{-1}\)
