Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
MHT CET 202623 AprilMorning Shift
Exam
MHT CET
Year
2026
Date
23 April
Shift
Morning Shift
Subject
Physics
Chapter
Dual Nature of Matter

MHT CET 2026 · 23 April · Morning Shift · Physics · Dual Nature of Matter

In an interference experiment, interference was observed using...

In an interference experiment, interference was observed using waves associated with electrons having de-Broglie wavelength λ\lambda. The electrons are produced by using an electron-gun having the potential difference 'V'. To increase the fringe width in an interference pattern,

Options

  1. Athe slit separation is increased.
  2. Bthe screen is moved closer to interfering slits.
  3. Celectron gun voltage be increased.
  4. Delectron gun voltage be decreased.

Correct answer

D. electron gun voltage be decreased.

Step-by-step solution

Fringe width in an interference pattern is given by β=λDd\beta = \dfrac{\lambda D}{d}

The de-Broglie wavelength of an electron accelerated through a potential difference VV is λ=h2meV\lambda = \dfrac{h}{\sqrt{2meV}}

Substituting the value of λ\lambda, we get β=hDd2meV\beta = \dfrac{h D}{d \sqrt{2meV}}

From the above relation, β∝1V\beta \propto \dfrac{1}{\sqrt{V}}

To increase the fringe width β\beta, the electron gun voltage VV must be decreased. Increasing the slit separation dd or moving the screen closer (decreasing DD) will decrease the fringe width.

Answer: electron gun voltage be decreased.
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 MHT CET Medical PYQs