1.

Light of wavelength `5890 Å` travelling in air enters water of `mu = 4//3`. What will be the frequency and wavelength of light in water ?

Answer» Here, `lambda_(1) = 5890 Å = 5890 xx 10^(-10)m`
`mu = 4//3, v_(2) = ? Lambda_(2) = ?`
As frequency in water = frequency in air,
`:. v_(2) = v_(1) = ( c)/(lambda_(1)) = (3 xx 10^(8))/(5890 xx 10^(-10)) = 5.093 xx 10^(14)c//s`
As `mu = (lambda_(1))/(lambda_(2))`
`:. lambda_(2) = (lambda_(1))/(mu) = (5890 xx 10^(-10))/(4//3) = 4417.5 xx 10^(-10)m = 4417.5 Å`


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