Department of Pre-University Education, KarnatakaPUC Karnataka Science Class 12
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The X-ray Coming from a Coolidge Tube Has a Cutoff Wavelength of 80 Pm. Find the Kinetic Energy of the Electrons Hitting the Target. - Physics

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Question

The X-ray coming from a Coolidge tube has a cutoff wavelength of 80 pm. Find the kinetic energy of the electrons hitting the target.

(Use Planck constant h = 6.63 × 10-34 Js= 4.14 × 10-15 eVs, speed of light c = 3 × 108 m/s.)

Solution

Given:-

Cutoff wavelength of the Coolidge tube, `lambda = 80  "pm"`

Energy of the electron hitting the target (E) is given by

`E = (hc)/lambda`

Here,
h = Planck's constant
c = Speed of light
λ = Wavelength of light

`therefore E = (1242  "eV"-"nm")/(80 xx 10^-3)`

`⇒ E = (1242 xx 10^-9  "eV")/(80 xx 10^-12)`

`⇒ E = 15.525 xx 10^3  "eV" ≈ 15.5  "keV"`

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Solution The X-ray Coming from a Coolidge Tube Has a Cutoff Wavelength of 80 Pm. Find the Kinetic Energy of the Electrons Hitting the Target. Concept: Electromagnetic Spectrum.
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