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MHT CET202210 Aug 2022Morning ShiftPhysicsDual Nature of MatterActual

The kinetic energy of an electron is tripled, then the de-Broglie wavelength associated with it, will change by a factor

Options

  1. A1 3
  2. B3
  3. C3
  4. D1 3

Correct answer

C. 3

Step-by-step solution

Relation between kinetic energy and momentum is as follows: P= 1 2 m K If kinetic energy is tripled, the new momentum is given by, P^ = 1 2 m(3 K) = P 3 de-Broglie wavelength of an electron is the following ratio: = h P Therefore, on tripling the kinetic energy the wavelength will change to: ^ = h P^ = 3 ( h P )= 3

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