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MHT CET 2023 (10 May, Shift 2) · Matter Waves: de Broglie Wavelength

Matter Waves: de Broglie Wavelength question from MHT CET 2023 (10 May, Shift 2)

Q65MHT CET 2023 · 10 MAY · SHIFT 2Easy

Matter Waves: de Broglie Wavelength

If the potential difference used to accelerate electrons is doubled, by what factor does the de- Broglie wavelength associated with electrons change?

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Answer: (c)

  1. λ∝1V\lambda \propto \dfrac{1}{\sqrt{V}}.
  2. V′=2V⇒λ′=λ2V' = 2V \Rightarrow \lambda' = \dfrac{\lambda}{\sqrt{2}}, a decrease.
  3. So the answer is (c) wavelength is decreased to 12\dfrac{1}{\sqrt{2}} times.
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