JEE Main 2026 — Dual Nature of Matter Question with Solution
JEE Main 2026 (28 January Shift 1)
Question
The ratio of de Broglie wavelength of a deutron with kinetic energy to that of an alpha particle with kinetic energy , is . The value of is .
(Assume mass of proton mass of neutron) :
(Assume mass of proton mass of neutron) :
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Show full solutionCorrect answer: 2
Correct answer
2
Step-by-step explanation
The de Broglie wavelength is .
For a deuteron (mass ) with energy :
For an alpha particle (mass ) with energy :
The ratio:
For a deuteron (mass ) with energy :
For an alpha particle (mass ) with energy :
The ratio:
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This is a previous-year question from JEE Main 2026, covering the Dual Nature of Matter chapter of Physics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.