#### Question

Iron emits K_{α} X-ray of energy 6.4 keV. Calculate the times taken by an iron K_{α} photon to cross through a distance of 3 km.

(Use Planck constant h = 4.14 × 10^{-15} eVs, speed of light c = 3 × 10^{8} m/s.)

#### Solution

Given:

Energy of the X-ray, E = 6.4 keV

Distance travelled by the photon, d = 3 km = 3 `xx ` 10^{3} m

Time taken by the photon to cross the distance of 3 km is given by

`t = "Distance"/"Speed" = (3 xx 10^3)/(3 xx 10^8)`

`t = 10^-5 "s" = 10 xx 10^-6 "s"`

`t = 10 mus`

Both the K_{α} photon and X-ray will take the same time, that is, 10 μs , to cross the distance of 3 km.

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#### APPEARS IN

Solution Iron Emits Kα X-ray of Energy 6.4 Kev. Calculate the Times Taken by an Iron Kα Photon to Cross Through a Distance of 3 Km. Concept: Electromagnetic Spectrum.