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Karnataka Board PUCPUC Science Class 11

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.

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Question

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.

(Use Planck constant h = 4.14 × 10-15 eVs, speed of light c = 3 × 108 m/s.)

Sum
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Solution

Given:
Energy of the X-ray, E = 6.4 keV
Distance travelled by the photon, d = 3 km = 3  `xx ` 103 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 Kα photon and X-ray will take the same time, that is, 10 μs , to cross the distance of 3 km.

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Chapter 22: X-rays - Exercises [Page 395]

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HC Verma Concepts of Physics Vol. 2 [English] Class 11 and 12
Chapter 22 X-rays
Exercises | Q 2 | Page 395

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