Calculate the wavelength, frequency, and wave number of a light wave whose period is `2.0 xx10^(-10) s`.
Frequency `(v) =(1)/(“Period”) = (1)/(2.0xx 10^(-10)s) = 5 xx 10^(9) s^(-1)`
Wavelength, `lamda = (c)/(v) = (3.0 xx 10^(8) ms^(-1))/(5 xx 10^(9) s^(-1)) = 6.0 xx 10^(-2) m`
Wave number, `bar(v) = (1)/(lamda) = (1)/(6 xx 10^(-2)m) = 16.66 m^(-1)`
Frequency (ν) of light `= 1/(“period”)`
` 1/(2.0xx10^(-10)) s = 5.0xx10^(9)s^(-1)`
Wavelength `(lambda)` of light =`c/v`
Where
c = velocity of light in vacuum =` 3xx10 ^(8) m//s`
Substituting the value in the given expression of `lambda` :
`lamda (3xx10^(8))/(5.0 xx 10^(9)) = 6.0xx10^(-2) m `
Wave number `(barv)` of light `=1/lambda=1/(6.0xx10^(-2))=1.66xx 10^(1)m^(-1)=16.66 m`