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Question -

(a)┬аAn X-ray tubeproduces a continuous spectrum of radiation with its short wavelength end at0.45 ├Е. What is the maximum energy of a photon in the radiation?

(b)┬аFromyour answer to (a), guess what order of accelerating voltage (for electrons) isrequired in such a tube?



Answer -

(a)┬аWavelengthproduced by an X-ray tube,┬а

PlanckтАЩs constant,┬аh┬а=6.626 ├Ч 10тИТ34┬аJs

Speed of light,┬аc┬а= 3 ├Ч 108┬аm/s

The maximum energy of aphoton is given as:

Therefore, the maximumenergy of an X-ray photon is 27.6 keV.

(b)┬аAccelerating voltage provides energy to theelectrons for producing X-rays. To get an X-ray of 27.6 keV, the incidentelectrons must possess at least 27.6 keV of kinetic electric energy. Hence, anaccelerating voltage of the order of 30 keV is required for producing X-rays.

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