Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
JEE Main202528 Jan 2025Morning ShiftPhysicsDual Nature of MatterActual

A proton of mass ' m_ p ' has same energy as that of a photon of wavelength ' '. If the proton is moving at non-relativistic speed, then ratio of its de Broglie wavelength to the wavelength of photon is.

Options

  1. A1 c E m _ p
  2. B1 c 2 E m _ p
  3. C1 2 c E m_p
  4. D1 c E 2 ~m _ p

Correct answer

D. 1 c E 2 ~m _ p

Step-by-step solution

Energy of photon =E= h c Wavelength of photon = = h c E Energy of proton =E= 1 2 m_p v^2= P^2 2 m_p Linear momentum of proton =P= 2 m_p E Or de-Broglie wavelength of proton aligned = _p= & h P = h 2 m_p E Ratio _p & = h 2 m_p E E h c & = 1 c E 2 m_p aligned

Practice Dual Nature of Matter on Quantrex Academy →

More from Dual Nature of Matter

K₁ and K₂ be the maximum kinetic energies of photoelectrons emitted from a surface of a given material for the light of wavelength ₁ and ₂ , respectively. If ₁=2 ₂ then the work fu 2026The de Broglie wavelength for an electron accelerated through the potential difference of V₁ volt is ₁ . When the potential difference is changed to V₂ volt, the associated de Brog 2026Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A): The electromagnetic wave exerts pressure on the surface on 2026An electron is travelling with a velocity v in free space and when it enters a medium, its velocity is reduced by 20 % . The de Broglie wavelength of electron in the medium is ₀ , 2026An electron of mass m is moving in an electric field E = -2E₀ i ( E₀ = constant > 0 ), with an initial velocity V = v₀ i ( v₀ = constant > 0 ). If ₀ = h 4mv₀ , its de Broglie wavel 2026Light source having wavelength 331 nm is used to generate photo-electrons whose stopping potential is 0.2 V. The work function of the used metal in the experiment is 10⁻¹⁹ J. The v 2026Match the List-I with List-II List-I List-II A. Planck's constant I. ML^2T⁻² B. Stopping potential II. T⁻¹ C. Work function III. ML^2T⁻¹ D. Threshold frequency IV. ML^2T⁻³A⁻¹ Choos 2026The de Broglie wavelength associated with an electron accelerated through a potential difference V is _e and the de Broglie wavelength associated with a proton accelerated through 2026 Full Dual Nature of Matter list All JEE Main PYQs