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Saturday, 31 October

JEE Main 2022 · PhysicsMultiple choiceSingle correctMediumApplication

JEE Main 25 June 2022, Shift 2, Physics Q46

Question 46 of 90 in this shift, Physics question 16 of 30, Section A.

A proton, a neutron, an electron and an α\alpha-particle have same energy. If λp,λn,λe\lambda_p, \lambda_n, \lambda_e and λα\lambda_\alpha are the de Broglie's wavelengths of proton, neutron, electron and α\alpha particle respectively, then choose the correct relation from the following :
  1. (1)λp=λn>λe>λα\lambda_p = \lambda_n > \lambda_e > \lambda_\alpha
  2. (2)λα<λn<λp<λe\lambda_\alpha < \lambda_n < \lambda_p < \lambda_eOfficial answer
  3. (3)λe<λp=λn>λα\lambda_e < \lambda_p = \lambda_n > \lambda_\alpha
  4. (4)λe=λp=λn=λα\lambda_e = \lambda_p = \lambda_n = \lambda_\alpha

Official answer

Option 2

NTA final key.

Chapter
Dual Nature of Radiation and Matter
Topic
Matter Waves
Idea tested
Wavelength Ratios of Different Particles

Same idea in other shifts

Asked 15× in all
  1. 4 Apr 2026, Shift 2 · Q44The de Broglie wavelength associated with an electron accelerated through a potential difference V is λe\lambda_e and the de Broglie…EasySingle correct
  2. 8 Apr 2024, Shift 2 · Q46A proton and an electron have the same de Broglie wavelength. If KpK_p and KeK_e be the kinetic energies of proton and electron…EasySingle correct
  3. 1 Feb 2024, Shift 1 · Q46The de Broglie wavelengths of a proton and an α\alpha particle are λ\lambda and 2λ2\lambda respectively. The ratio of the velocities of…EasySingle correct
  4. 11 Apr 2023, Shift 2 · Q45The ratio of the de-Broglie wavelengths of proton and electron having same Kinetic energy : (Assume mp=me×1849\mathrm{m_p = m_e\times1849})EasySingle correct
  5. 25 Jul 2022, Shift 2 · Q37The ratio of wavelengths of proton and deuteron accelerated by potential Vp\mathrm{V_p} and Vd\mathrm{V_d} is 1:21:\sqrt{2}. Then, the…EasySingle correct
  6. 27 Jun 2022, Shift 1 · Q43An α\alpha particle and a carbon 12 atom has same kinetic energy K. The ratio of their de-Broglie wavelengths…EasySingle correct
  7. 31 Aug 2021, Shift 1 · Q4A moving proton and electron have the same de-Broglie wavelength. If K and P denote the K.E. and momentum respectively. Then choose the…EasySingle correct
  8. 24 Feb 2021, Shift 2 · Q16The de Broglie wavelength of a proton and α\alpha-particle are equal. The ratio of their velocities is :EasySingle correct

Question text from the official JEE Main paper published by NTA; answer from the final answer key. Chapter, topic and idea tags, difficulty and skill are Lumi’s. Lumi analyses 108 of the 174 JEE Main shifts held from 2017 to 2026.