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A monochromatic beam of light of wavelen...

A monochromatic beam of light of wavelength `6000 A` in vacuum enters a medium of refractive index `1.5`. In the medium its wavelength is…., its frequency is…..

Text Solution

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`._(2)^(2)mu = ("Speed of light in medium" 1)/("Speed of light in medium" 1) = (v lambda_(1))/(v lambda_(2))`
[`:' v` does change with the medium]
`._(m)^(a)mu = (lambda_(a))/(lambda_(m)) implies lambda_(m) (lambda_(a))/(._(m)^(a)mu) (a rarr air, m rarr "medium")`
`:. lambda_(m) = (6000)/(1.5) = 4000 Å`
Now,
`c_(a) = v_(a) lambda_(a)`
`:. v_(a) = (C_(a))/(lambda_(a)) = (3 xx 10^(8))/(6000 xx 10^(-10)) = 5 xx 10^(14) Hz`
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