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KCET2012PhysicsDual Nature of Matter

A proton and an alpha particle are accelerated under the same potential difference. The ratio of de-Broglie wavelengths of the proton and the alpha particle is

Options

  1. A2
  2. B8
  3. C1 8
  4. D1

Correct answer

B. 8

Step-by-step solution

Kinetic energy of charged particle, accelerated through a potential difference V , i.e., K = qV Momentum of the particle, p = 2 mK = 2 mqV de-Broglie wavelength of the particle aligned &= h p = h 2 m q v m_ &=m_ p and q=2 c _ p _ &= m₂ q₂ m₁ q₁ = 4 2 1 1 = 8 aligned

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