If the kinetic energy of an electron becomes 16 times, then de-Broglie wavelength becomes-

  1. 16 times 
  2.  times
  3. 4 times
  4.  times

Answer (Detailed Solution Below)

Option 4 :  times
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Detailed Solution

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CONCEPT:

  • de Broglie wavelength of electrons: Louis de Broglie theorized that not only light possesses both wave and particle properties, but rather particles with mass - such as electrons - do as well.
    • The wavelength of material waves is also known as the de Broglie wavelength.
  • de Broglie wavelength (λ) of electrons can be calculated from Planks constant h divided by the momentum of the particle.

λ = h/p

where h is Plank's const, λ is de Broglie wavelength, and p is the momentum.

  • In terms of Kinetic energy, de Broglie wavelength of electrons:

where λ is de Broglie wavelength, m is the mass of an electron, h is Plank's const, and E is the energy of the electron.

CALCULATION:

Given that: 

New Kinetic energy (E2) = 16 times the given kinetic energy = 16 E1

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