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Dual Nature of Matter

JEE Main level, single correct, medium

44 of 200

Question 44 of 200

An electron with speed $v$ and a photon with speed $c$ have the same de-Broglie wavelength. If the kinetic energy and momentum of electron are ${E}_{e}$ and ${P}_{e}$ and that of photon are ${E}_{ph}$ and ${P}_{ph}$ respectively. Which of the following is correct?

Show answer and solution

Answer: (B) $\dfrac{{E}_{e}}{{E}_{ph}}=\dfrac{v}{2c}$

We have,

{\lambda }_{p}=\dfrac{h}{{p}_{p}}

and

{\lambda }_{e}=\dfrac{h}{{p}_{e}}

Given here,

{\lambda }_{e}={\lambda }_{p}

, then

{p}_{p}={p}_{e}

Ratio of their energy is

EphEe=hcλPpe22m=2mcpe=2mcmv=2cv

JEE Main question paper PDF

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JEE Main 2025 Apr 2 Shift 1 question paper

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JEE Main Physics practice question on Dual Nature of Matter (Matter Waves), with the answer and a step-by-step solution. Scan a question from your own book or paper to get a whiteboard video.

An electron with speed vvv and a photon with speed ccc have the same de-Broglie wavelength. If the kinetic energy and momentum of electron are Ee{E}_{e}Ee​ and Pe{P}_{e}Pe​ and that of photon are Eph{E}_{ph}Eph​ and Pph{P}_{ph}Pph​ respectively. Which of the following is correct?

JEE Main question paper PDF

More Physics practice

An electron with speed $v$ and a photon with speed $c$ have the same de-Broglie wavelength. If the kinetic energy and momentum of electron are ${E}_{e}$ and ${P}_{e}$ and that of photon are ${E}_{ph}$ and ${P}_{ph}$ respectively. Which of the following is correct?