Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
JEE Main20205 Sep 2020Morning ShiftPhysicsDual Nature of MatterActual

A beam of electrons of energy E scatters from a target having atomic spacing of 1   Å . The first maximum intensity occurs at θ = 60 ° . Then E ( in   eV ) is........ (Planck's constant h = 6 . 64 × 10 - 34   Js ,   1   eV = 1 . 6 × 10 - 19 J , electron mass m = 9 . 1 × 10 - 31   kg )

Correct answer

50

Step-by-step solution

2 dsin θ = n λ 2 d 3 2 = 1 λ d = 1   Å λ = 3   Å λ = 3 = 150 V V = 50   volt E = 50   eV

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