Numerical

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/(√2mE) = ( 6.63×10^(-34))/ (√2×9.1×10^-33 ×1.20 × 10^(-17)) = 1.41A° `

wavelength = 1.41A°

frequency `= 1/ λ = 7.048× 10^9`

Concept: De Broglie Wavelength

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