Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
99 Percentile Qs Bank for JEE MainPhysicsDual Nature of Matter

A charged particle is accelerated from rest through a certain potential difference. The de-Broglie wavelength is ₁ when it is accelerated through V₁ and is ₂ when accelerated through V₂ . The ratio ₁ / ₂ is

Options

  1. AV₁^ 3 / 2 : V₂^ 3 / 2
  2. BV₂^ 1 / 2 : V₁^ 1 / 2
  3. CV₁^ 1 / 2 : V₂^ 1 / 2
  4. DV₁^2: V₂^2

Correct answer

B. V₂^ 1 / 2 : V₁^ 1 / 2

Step-by-step solution

The de-Broglie wavelength associated with a charged particle is given by = h m q V where, h= planck's constant m= mass of charged particle q= charge on the particle V= potential at which the charged particle is accelerated. ₁= h m₁ q V₁ , ₂= h m₂ q V₂ Here, aligned m₁ & =m₂ ₁ ₂ & = m₂ q V₂ m₁ q V₁ = V₂ V₁ & =V₂^ 1 2 V₁^ 1 2 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 99 Percentile Qs Bank for JEE Main PYQs