Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app

JEE Main 20207 JanuaryEvening Shift

Exam: JEE Main
Year: 2020
Date: 7 January
Shift: Evening Shift
Subject: Physics
Chapter: Dual Nature of Matter

JEE Main 2020 · 7 January · Evening Shift · Physics · Dual Nature of Matter

An electron (of mass m ) and a photon have the same energy E in the...

An electron (of mass

m

) and a photon have the same energy

E

in the range of a few

eV

. The ratio of the de-Broglie wavelength associated with the electron and the wavelength of the photon is (

c =

speed of light in vacuum)

Options

A $\dfrac{1}{c}{\left(\dfrac{2E}{m}\right)}^{1 / 2}$
B $c{( 2mE )}^{1 / 2}$
C $\dfrac{1}{c}{\left(\dfrac{E}{2m}\right)}^{1 / 2}$
D ${\left(\dfrac{E}{2m}\right)}^{1 / 2}$

Correct answer

C. $\dfrac{1}{c}{\left(\dfrac{E}{2m}\right)}^{1 / 2}$

Step-by-step solution

{\lambda}_{d}

for electron

= \dfrac{h}{\sqrt{2mE}}

\lambda

for photon

= \dfrac{hC}{E}

Ratio

= \dfrac{h}{\sqrt{2mE}}\dfrac{E}{hC} = \dfrac{1}{C}\sqrt{\dfrac{E}{2m}}

Practice Dual Nature of Matter on Quantrex Academy →

More from Dual Nature of Matter

K_1 and K_2 be the maximum kinetic energies of photoelectrons emitted from a surface of a… JEE Main 2026 The de Broglie wavelength for an electron accelerated through the potential difference of… JEE Main 2026 Given below are two statements: one is labelled as Assertion (A) and the other is… JEE Main 2026 An electron is travelling with a velocity v in free space and when it enters a medium… JEE Main 2026 An electron of mass m is moving in an electric field E = -2E_0 i ( E_0 = constant > 0 )… JEE Main 2026 Light source having wavelength 331 nm is used to generate photo-electrons whose stopping… JEE Main 2026 Match the LIST-I with LIST-II List-I List-II A. Planck's constant I. ML^2T^ -2 B.… JEE Main 2026 The de Broglie wavelength associated with an electron accelerated through a potential… JEE Main 2026 Full Dual Nature of Matter list All JEE Main PYQs