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JEE Main 2023 (8 Apr, Shift 1) · Matter Waves: de Broglie Wavelength

Matter Waves: de Broglie Wavelength question from JEE Main 2023 (8 Apr, Shift 1)

Q68JEE Main 2023 · 8 APR · SHIFT 1Easy

Matter Waves: de Broglie Wavelength

Proton (P)(\mathrm{P}) and electron (e) will have same de-Broglie wavelength when the ratio of their momentum is (assume, mp=1849 me\mathrm{m_p} = 1849\, \mathrm{m_e} ):

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Answer: (a)

  1. λ=hp\lambda = \dfrac{h}{p} depends only on momentum, not on mass.
  2. Same λ⇒pP=pe\lambda \Rightarrow p_P = p_e.
  3. So the answer is (a) 1:11 : 1.
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