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Sagot :
The frequency and wavelength of this radiation is 26666.66 x 10¹⁵ Hz and 1.125 nm respectively.
The energy of the x-ray is 110KeV
1eV = 1.6 x 10⁻¹⁹ J
Then
110keV = 110 x 1000 x 1.6 x 10⁻¹⁹ J
110keV = 176000 x 10⁻¹⁹ J
plank's constant = 6.6 x 10⁻³⁴JS
As we know photon energy is given by
E = hv
where
E = Enregy
h = plank's constant
v = frequency
then
E = hv
176000 x 10⁻¹⁹ J = 6.6 x 10⁻³⁴JS x v
v = (176000 x 10⁻¹⁹ J) / (6.6 x 10⁻³⁴JS)
v = 26666.66 x 10¹⁵ Hz
now, wavelength is given as
λ = c/v
where
λ = wavelength
c = speed of light
v = frequency
λ = (3 x 10⁸ m/s ) / (26666.6610¹⁵ Hz)
λ = 1.125 x 10⁻⁷ m = 1.125 nm.
The frequency and wavelength of this radiation is 26666.66 x 10¹⁵ Hz and 1.125 nm respectively.
To know more about radiations
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