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Q.

The wavelength of blue light in air is $4500 A^{0} .$ What is its frequency? If the refractive index for blue light is 1.55 in glass what will be the wavelength of blue light glass? $(c = 3 \times 10^{8} m / s)$

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a

$5.667 \times 10^{14} H z; 3903 \overset{0}{A}$

b

$6.667 \times 10^{14} H z; 3903 \overset{0}{A}$

c

$6.667 \times 10^{14} H z; 2903 \overset{0}{A}$

d

$5.667 \times 10^{14} H z; 2903 \overset{0}{A}$

answer is A.

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Detailed Solution

$f = \frac{C}{λ_{a}} = \frac{3 \times 10^{8}}{4500 \times 10^{- 10}} = 6.6 \times 10^{14} H z$

$μ_{g} = \frac{λ_{a}}{λ_{g}} \Rightarrow λ_{g} = \frac{λ_{a}}{μ_{g}} = \frac{4500}{1.55} = 2903 A^{0}$

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