Answer :
The energy of the X-ray radiation will be 2.36 x 10⁻¹⁶ Joules.
The X-ray radiations fall under the wavelength range of 10⁻¹¹ m to 10⁻⁸ m.
Provided to us is the X-ray radiation of wavelength 8.39 x 10⁻¹⁰ m
For calculating the energy of the radiation we first need to calculate the frequency of the X-ray radiation
We know that frequency = speed of light / wavelength
Ʋ = c / λ
Ʋ = 3 x 10⁸ / 8.39 x 10⁻¹⁰
Ʋ = 0.357 x 10¹⁸
Now we know that the energy can be written as
E = h Ʋ
Where h = planck's constant and has a value of 6.626 x 10⁻³⁴ Js
therefore ,
The energy of the radiation is
E= 6.626 x 10⁻³⁴ x 0.357 x 10¹⁸
E = 2.36 x 10⁻¹⁶ J
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