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MHT CET 2024 (4 May, Shift 2) · Matter Waves: de Broglie Wavelength

Matter Waves: de Broglie Wavelength question from MHT CET 2024 (4 May, Shift 2)

Q48MHT CET 2024 · 4 MAY · SHIFT 2Easy

Matter Waves: de Broglie Wavelength

The kinetic energy of an electron is increased by 2 times, then the de-Broglie wavelength associated with it changes by a factor.

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Answer: (b)

  1. "Increased by 2 times" means K′=K+2K=3KK' = K + 2K = 3K.
  2. λ∝1K⇒λ′λ=13\lambda \propto \dfrac{1}{\sqrt{K}} \Rightarrow \dfrac{\lambda'}{\lambda} = \dfrac{1}{\sqrt{3}}.
  3. So the answer is (b) 13\dfrac{1}{\sqrt{3}}.
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