The de Broglie wavelength of an electron having kinetic energy E is λ . If the kinetic energy of…

The de Broglie wavelength of an electron having kinetic energy E is λ. If the kinetic energy of electron becomes E4, then its de-Broglie wavelength will be:
  1. 2λ
  2. λ2
  3. λ2
  4. 2λ

Solution

The de-Broglie wavelength in the first case is 

λ=h2mE

In the second case the kinetic energy is K=E4.

Let the de-Broglie wavelength be λ'.

The value of wavelength is

λ'=h2mE4=2h2mE=2λ

Asked in: JEE Main 2023 (15 Apr Shift 1)

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