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Question
Calculate the frequency and wavelength of photon whose energy is 75eV.
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Solution
Given Data: E = 75eV = 75 × 1.6 × 10-19 = 1.20 × 10-17
Formula: `E= 1/2 mv^2 , λ = h/(mv) = h/p`
Calculations: ` E =1/2 mv^2 = ((mv)^2)/(2m) = (h^2)/(2mλ^2)`
`λ= h/(sqrt(2)mE) = ( 6.63×10^(-34))/ (sqrt(2) × 9.1 × 10^-33 × 1.20 × 10^(-17))`
= 1.41A°
wavelength = 1.41A°
frequency `= 1/ λ = 7.048 × 10^9`
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