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Dual Nature of Radiation and Matter

  1. An electron of mass m and a photon have same energy E. The ratio of de-Broglie wavelengths associated with them is :​​
    1. 1
      E
      1/2
      c2m
    2. E
      1/2
      2m
    3. c(2mE)1/2
    4. 1
      2m
      1/2
      xcE
Correct Option: A

For electron De-Broglie wavelength,

λe =
h
2 mE

For photon E = pc
⇒ De-Broglie wavelength,
λPh =
hc
E

λe
=
h
×
E
λPh2mEhc

=
13.6
1/2
1
2me



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