JEE Main 2026 — Dual Nature of Matter Question with Solution
JEE Main 2026 (04 April Shift 2)
Question
The de Broglie wavelength associated with an electron accelerated through a potential difference V is and the de Broglie wavelength associated with a proton accelerated through the same potential difference is . If their corresponding masses are and , respectively, then the ratio of their de Broglie wavelengths is ______.
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Show full solutionCorrect option: A
Correct answer
A
Step-by-step explanation
The de Broglie wavelength of a particle accelerated through a potential difference is given by .
For an electron, the charge is and mass is . Its de Broglie wavelength is .
For a proton, the charge is and mass is . Its de Broglie wavelength is .
Taking the ratio of the two wavelengths, we get .
Answer:
For an electron, the charge is and mass is . Its de Broglie wavelength is .
For a proton, the charge is and mass is . Its de Broglie wavelength is .
Taking the ratio of the two wavelengths, we get .
Answer:
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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.