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BITSAT2023PhysicsDual Nature of MatterActual

A proton and an -particle are accelerated from rest by 2 ~V and 4 ~V potentials, respectively. The ratio of their de-Broglie wavelength is:

Options

  1. A4 : 1
  2. B2 : 1
  3. C8 : 1
  4. D16 : 1

Correct answer

A. 4 : 1

Step-by-step solution

De-Broglie wavelength, aligned & = h mv = h 2 mK = h 2 mq V & _ _ p = 2 ~m _ p V _ p q _ p 2 ~m _ V _ q _ & V _ p =2 ~V and V _ =4 ~V (given) & m _ =4 ~m _ p and q _ =2 q _ p aligned _ _p = 1 2 1 4 4 2 = 1 4 _p: _ =4: 1

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