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

Photoelectric emission is observed from a metallic surface for frequencies v₁ and v₂ of the incident light rays (v₁>v₂ ) . If the maximum values of kinetic energy of the photoelectrons emitted in the two cases are in the ratio of 1: k , then the threshold frequency of the metallic surface is

Options

  1. Av₂-v₁ k-1
  2. Bk v₁-v₂ k-1
  3. Ck v₂-v₁ k-1
  4. Dv₂-v₁ k

Correct answer

B. k v₁-v₂ k-1

Step-by-step solution

Maximum kinetic energy of photoelectrons ( KE )_ =h v-h v₀v= frequency of incident radiation v₀= threshold frequency Ist Case ( KE _ )₁=h v₁-h v₀ IInd Case ( KF _ )₂=h v₂-h v₀ aligned ( KE _ )₁ ( KE _ )₂ & = h (v₁-v₀ ) h (v₂-v₀ ) 1 k & = v₁-v₀ v₂-v₀ v₂-v₀ & =k v₁-k v₀ k v₀-v₀ & =k v₁-v₂ v₀ & = k v₁-v₂ k-1 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