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JEE Main 202131 AugustMorning Shift

Exam: JEE Main
Year: 2021
Date: 31 August
Shift: Morning Shift
Subject: Physics
Chapter: Dual Nature of Matter

JEE Main 2021 · 31 August · Morning Shift · Physics · Dual Nature of Matter

A moving proton and electron have the same de-Broglie wavelength....

A moving proton and electron have the same de-Broglie wavelength. If

K

and

P

denote the

K . E .

and momentum respectively. Then choose the correct option :

Options

A ${K}_{p} > {K}_{e}$ and ${P}_{p} = {P}_{e}$
B ${K}_{p} < {K}_{e}$ and ${P}_{p} = {P}_{e}$
C ${K}_{p} < {K}_{e}$ and ${P}_{p} < {P}_{e}$
D ${K}_{p} = {K}_{e}$ and ${P}_{p} = {P}_{e}$

Correct answer

B. ${K}_{p} < {K}_{e}$ and ${P}_{p} = {P}_{e}$

Step-by-step solution

{\lambda}_{deb} = \dfrac{h}{p} = \dfrac{h}{\sqrt{2mKE}}

If

\lambda

is same the

P

will be same

KE ∝ 1 / m

{m}_{p} > {m}_{e} ⇒ {K}_{p} < {K}_{e}

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