Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
NEET 2025
Exam
NEET
Year
2025
Subject
Physics
Chapter
Dual Nature of Matter

NEET 2025 · Physics · Dual Nature of Matter

A photon and an electron (mass m ) have the same energy E . The...

A photon and an electron (mass mm ) have the same energy EE. The ratio ( λphoton /λelectron \lambda_{\text{photon }} / \lambda_{\text{electron }} ) of their de Broglie wavelengths is: (c is the speed of light)

Options

  1. AE/2 m\sqrt{\mathrm{E} / 2 \mathrm{~m}}
  2. Bc2mEc \sqrt{2 \mathrm{mE}}
  3. Cc2 mEc \sqrt{\frac{2 \mathrm{~m}}{\mathrm{E}}}
  4. D1cE/2m\frac{1}{c} \sqrt{E / 2 m}

Correct answer

C. c2 mEc \sqrt{\frac{2 \mathrm{~m}}{\mathrm{E}}}

Step-by-step solution

Photon & electron have same energy E λphoton λelectron =hcEh2mE=c2mE\frac{\lambda_{\text{photon }}}{\lambda_{\text{electron }}}=\frac{\frac{h c}{\mathrm{E}}}{\frac{h}{\sqrt{2 \mathrm{mE}}}}=c \sqrt{\frac{2 \mathrm{ m}}{\mathrm{E}}}
Practice Dual Nature of Matter on Quantrex Academy →

More from Dual Nature of Matter

An electron and positron are accelerated from rest to the same kinetic energy. The ratio… MHT CET Medical 2026An electron of mass m and charge e initially at rest gets accelerated by a constant… MHT CET Medical 2026The wavelength λ_e of an electron and λ_P of a photon of same energy E are related as MHT CET Medical 2026A light of wavelength λ(λ < λ_0) falls on a metal surface. The momentum of the fastest… MHT CET Medical 2026The de Broglie wavelength of an electron with kinetic energy K_1 is λ_1 . If the kinetic… MHT CET Medical 2026A student plots two different graphs using the same photoelectric experiment data. 1.… MHT CET Medical 2026In a photoelectric cell, for the incident radiation of wavelength λ , the fastest… MHT CET Medical 2026A particle is dropped from a height ' y '. The de-Broglie wavelength of the particle as a… MHT CET Medical 2026 Full Dual Nature of Matter list All NEET PYQs