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MHT CET 202626 AprilMorning Shift
Exam
MHT CET
Year
2026
Date
26 April
Shift
Morning Shift
Subject
Physics
Chapter
Dual Nature of Matter

MHT CET 2026 · 26 April · Morning Shift · Physics · Dual Nature of Matter

An electron of mass m and charge e initially at rest gets...

An electron of mass m and charge e initially at rest gets accelerated by a constant electric field E. The de-Broglie wavelength of the electron at time t is (h = Planck's constant)

Options

  1. AheEt\dfrac{h}{eEt}
  2. BeEth\dfrac{eEt}{h}
  3. CeEht\dfrac{eE}{ht}
  4. DhteE\dfrac{ht}{eE}

Correct answer

A. heEt\dfrac{h}{eEt}

Step-by-step solution

The force acting on the electron in a constant electric field is F=eEF = eE

Since the electron is initially at rest, its momentum at time tt is p=Ft=eEtp = Ft = eEt

The de-Broglie wavelength is given by λ=hp\lambda = \dfrac{h}{p}

Substituting the value of momentum, we get λ=heEt\lambda = \dfrac{h}{eEt}

Answer: heEt\dfrac{h}{eEt}
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