Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
JEE Main 202529 JanuaryMorning Shift
Exam
JEE Main
Year
2025
Date
29 January
Shift
Morning Shift
Subject
Physics
Chapter
Dual Nature of Matter

JEE Main 2025 · 29 January · Morning Shift · Physics · Dual Nature of Matter

If (λ) and K are de Broglie wavelength and kinetic energy,...

If (\lambda) and KK are de Broglie wavelength and kinetic energy, respectively, of a particle with constant mass. The correct graphical representation for the particle will beIf (λ) and K are de Broglie wavelength and kinetic energy, respectively, of a particle with constant mass. The correctIf (λ) and K are de Broglie wavelength and kinetic energy, respectively, of a particle with constant mass. The correctIf (λ) and K are de Broglie wavelength and kinetic energy, respectively, of a particle with constant mass. The correctIf (λ) and K are de Broglie wavelength and kinetic energy, respectively, of a particle with constant mass. The correct

Options

  1. AIf A=[ array ll 3 & 1 0 & 4 array ] and B=[ array ll 1 & 1 0 & 2 array ] then which of the following is/are correct? 1.
  2. BIf A=[ array ll 3 & 1 0 & 4 array ] and B=[ array ll 1 & 1 0 & 2 array ] then which of the following is/are correct? 1.
  3. CIf A=[ array ll 3 & 1 0 & 4 array ] and B=[ array ll 1 & 1 0 & 2 array ] then which of the following is/are correct? 1.
  4. DIf A=[ array ll 3 & 1 0 & 4 array ] and B=[ array ll 1 & 1 0 & 2 array ] then which of the following is/are correct? 1.

Correct answer

B. If A=[ array ll 3 & 1 0 & 4 array ] and B=[ array ll 1 & 1 0 & 2 array ] then which of the following is/are correct? 1.

Step-by-step solution

λ=hmv=h2mKλ2=h22 m(1k)Y=cx2\begin{aligned} & \lambda=\frac{\mathrm{h}}{\mathrm{mv}}=\frac{\mathrm{h}}{\sqrt{2 \mathrm{mK}}} \\ & \lambda^2=\frac{\mathrm{h}^2}{2 \mathrm{~m}}\left(\frac{1}{\mathrm{k}}\right) \\ & \mathrm{Y}=\mathrm{cx}^2 \end{aligned} Upward facing parabola passing through origin.
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