radiography of a barium-filled colon calls for high-kvp technique. these x-rays can have energy of 110 kev. what is the frequency and wavelength of this radiation?



Answer :

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.

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