Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
JEE Main 201510 AprilOnline
Exam
JEE Main
Year
2015
Date
10 April
Mode
Online
Subject
Physics
Chapter
Dual Nature of Matter

JEE Main 2015 · 10 April · Online · Physics · Dual Nature of Matter

De-Broglie wavelength of an electron accelerated by a voltage of...

De-Broglie wavelength of an electron accelerated by a voltage of 50V50\text{V} is close to \left(\left|e\right| = 1.6 \times {10}^{- 19}C, {m}_{e} = 9.1 \times {10}^{- 31}kg, h = 6.6 \times {10}^{- 34}Js\right)

Options

  1. A0.5Å0.5\text{Å}
  2. B1.2Å1.2\text{Å}
  3. C1.7Å1.7\text{Å}
  4. D2.4Å2.4\text{Å}

Correct answer

C. 1.7Å1.7\text{Å}

Step-by-step solution

De-Broglie wavelength λ\lambda in given by

λ=hmv=h2meV\lambda = \dfrac{h}{mv} = \dfrac{h}{\sqrt{2meV}}

and for electron λ=12.27A°V\lambda = \dfrac{12.27\overset{°}{A}}{\sqrt{V}}

=12.27A°50= \dfrac{12.27\overset{°}{A}}{\sqrt{50}}

=1.7= 1.7 A°\overset{°}{A}
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 2026The de Broglie wavelength for an electron accelerated through the potential difference of… JEE Main 2026Given below are two statements: one is labelled as Assertion (A) and the other is… JEE Main 2026An electron is travelling with a velocity v in free space and when it enters a medium… JEE Main 2026An electron of mass m is moving in an electric field E = -2E_0 i ( E_0 = constant > 0 )… JEE Main 2026Light source having wavelength 331 nm is used to generate photo-electrons whose stopping… JEE Main 2026Match the LIST-I with LIST-II List-I List-II A. Planck's constant I. ML^2T^ -2 B.… JEE Main 2026The de Broglie wavelength associated with an electron accelerated through a potential… JEE Main 2026 Full Dual Nature of Matter list All JEE Main PYQs