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Wavelength of a colour of light for air is $6000\;A^{\circ}$ and in water the wavelength is $4500\;A^{\circ}$. What is the speed of light in water.

$(a)\;5.0 \times 10^{14}m/s \\ (b)\;2.25 \times 10^8 m/s \\ (c)\;4.0 \times 10^8 m/s \\ (d)\;1.5 \times 10^{14} $

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A)
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Velocity $\times $ wavelength = constant
$\large\frac{v_1}{v_2} =\frac{\lambda _1}{\lambda_2}$
$\large\frac{v_2}{3 \times 10^8 }=\frac{4500}{6000}$
$\qquad= 2.25 \times 10^8 m/s$
Hence b is the correct answer.

 

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