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Jono asked in Science & MathematicsPhysics · 7 years ago

How do i do this wavelength question?

There are electron sources of 10kV, 20kV and 30kV. What is the minimum wavelength radiation emitted by the 20kV source.

Can someone please show me how to work this out? thanks.

1 Answer

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  • 7 years ago

    E=p/c=mv/c

    E=hf=hv/λ

    then

    h/λ=m/c

    λ=hc/m

    where

    m=m0/(1-v^2/c^2)^1/2

    v^2=2eV/m

    then

    m=(m0+4e^2V^2/c^2)^1/2

    V=20 kV

    m0=9.11x10^-31 kg

    e=1.6x10^-19 C

    h=6.626x10^-34 Js [Planck constant]

    c=3x10^8 m/s [speed of light]

    put in the numbers and you get the result

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