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Question

An electron of charge 'e' and mass 'm' is accelerated from rest by a potential difference 'V'. The de Broglie wavelength is
  1. Directly proportional to the square root of potential difference.
  2. Inversely proportional to the square root of potential difference
  3. Directly proportional to the square root of electron mass
  4. Inversely proportional to the cube root of electron mass

A
Inversely proportional to the square root of potential difference
B
Directly proportional to the square root of potential difference.
C
Directly proportional to the square root of electron mass
D
Inversely proportional to the cube root of electron mass
Solution
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12mv2=eV
mv=2eVm
So de-broglie wavelength
λ=hmv
=h2meV
λα1V

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