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Dual Nature of Radiation

27 questions · Physics · JEE Advanced
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Dual Nature of Radiation

27 questions · Physics · JEE Advanced

  1. Consider an electron in the n=3 orbit of a hydrogen-like atom with atomic number Z. At absolute temperature T, a neutron having thermal energy kB​T has the same de Broglie wavelength as that of this electron. If this…2025 · Shift 1 · Q45 · Numerical
  2. A hydrogen atom, initially at rest in its ground state, absorbs a photon of frequency v1​ and ejects the electron with a kinetic energy of 10 eV . The electron then combines with a positron at rest to form a positronium atom in its…2025 · Shift 2 · Q42 · Numerical
  3. A metal target with atomic number Z=46 is bombarded with a high energy electron beam. The emission of X-rays from the target is analyzed. The ratio r of the wavelengths of the Kα​-line and the cut-off is found to be r=2. If…2024 · Shift 2 · Q37 · MCQ
  4. A Hydrogen-like atom has atomic number Z. Photons emitted in the electronic transitions from level n=4 to level n=3 in these atoms are used to perform photoelectric effect experiment on a target metal. The maximum kinetic energy of…2023 · Shift 1 · Q42 · Numerical
  5. When light of a given wavelength is incident on a metallic surface, the minimum potential needed to stop the emitted photoelectrons is 6.0 V. This potential drops to 0.6 V if another source with wavelength four…2022 · Shift 2 · Q52 · MCQ
  6. In a photoemission experiment, the maximum kinetic energies of photoelectrons from metals P, Q and R are EP, EQ and ER, respectively, and they are related by EP = 2EQ = 2ER. In this experiment, the same source of monochromatic light is…2021 · Shift 2 · Q57 · Numerical
  7. A perfectly reflecting mirror of mass M mounted on a spring constitutes a spring-mass system of angular frequency Ω such that h4πMΩ​=1024m−2 with h as Planck's constant. N photons of wavelength λ… Includes diagram2019 · Shift 2 · Q47 · Numerical
  8. In a photoelectric experiment a parallel beam of monochromatic light with power of 200W is incident on a perfectly absorbing cathode of work function 6.25ev. The frequency of light is just above the threshold frequency so that the…2018 · Shift 2 · Q48 · Numerical
  9. A photoelectric material having work-function ϕ0​ is illuminated with light of wavelength λ(λ<ϕ0​he​). The fastest photoelectron has a de-Broglic wavelength λd​. A…2017 · Shift 2 · Q46 · MCQ
  10. In a historical experiment to determine Planck's constant, a metal surface was irradiated with light of different wavelengths. The emitted photoelectron energies were measured by applying a stopping potential. The relevant data for the… Includes table2016 · Shift 1 · Q43 · MCQ
  11. Light of wavelength λ ph falls on a cathode plate inside a vacuum tube as shown in the figure. The work function of the cathode surface is ϕ and the anode is a wire mesh of conducting material kept at a distance d from the… Includes diagram2016 · Shift 2 · Q50 · Multiple correct
  12. For photo-electric effect with incident photon wavelength λ, the stopping potential is V0. Identify the correct variation(s) of V0 with λ and λ1​.2015 · Shift 1 · Q57 · Multiple correct
  13. An electron in an excited state of Li2+ ion has angular momentum 2π3h​. The de Broglie wavelength of the electron in this state is p π a0 (where a0 is the Bohr radius). The value of p is2015 · Shift 2 · Q50 · Numerical
  14. A metal surface is illuminated by light of two different wavelengths 248 nm and 310 nm. The maximum speeds of the photoelectrons corresponding to these wavelengths are u1 and u2, respectively. If the ratio u1 : u2 = 2 : 1 and hc = 1240 eV…2014 · Shift 2 · Q47 · MCQ
  15. The work functions of silver and sodium are 4.6 and 2.3 eV, respectively. The ratio of the slope of the stopping potential versus frequency plot for silver to that of sodium is ​.2013 · Shift 1 · Q59 · Numerical
  16. Using the expression 2dsinθ=λ, one calculates the values of d by measuring the corresponding angles θ in the range 0 to 90o. The wavelength λ is exactly known and the error in θ is constant for all…2013 · Shift 2 · Q47 · Multiple correct
  17. A proton is fired from very far away towards a nucleus with charge Q = 120e, where e is the electronic charge. It makes a closest approach of 10 fm to the nucleus. The de Broglie wavelength (in units of fm) of the proton at its start is ​…2012 · Shift 1 · Q58 · Numerical
  18. The activity of a freshly prepared radioactive sample is 1010 disintegrations per second, whose mean life is 109 s. The mass of an atom of this radioisotope is 10 − 25 kg. The mass (in mg) of the radioactive sample is ​…2011 · Shift 1 · Q68 · Numerical
  19. A silver sphere of radius 1 cm and work function 4.7 eV is suspended from an insulating thread in free-space. It is under continuous illumination of 200 nm wavelength light. As photoelectrons are emitted, the sphere gets charged and…2011 · Shift 2 · Q56 · Numerical
  20. An α-particle and a proton are accelerated from the rest by a potential difference of 100 V. After this, their de Broglie wavelengths are λα and λ p, respectively. The ratio λα​λp​​…2010 · Shift 1 · Q82 · Numerical
  21. When a particle is restricted to move along x-axis between x = 0 and x = a, where a is of nanometer dimension, its energy can take only certain specific values. The allowed energies of the particle moving in such a restricted region,…2009 · Shift 1 · Q53 · MCQ
  22. When a particle is restricted to move along x-axis between x = 0 and x = a, where a is of nanometer dimension, its energy can take only certain specific values. The allowed energies of the particle moving in such a restricted region,…2009 · Shift 1 · Q54 · MCQ
  23. Photoelectric effect experiments are performed using three different metal plates p, q and r having work functions ϕp​=2.0 eV, ϕq​=2.5 eV and ϕr​=3.0 eV, respecticely. A light beam containing…2009 · Shift 2 · Q40 · MCQ
  24. Which one of the following statements is WRONG in the context of X-rays generated from a X-ray tube?2008 · Shift 1 · Q49 · MCQ
  25. Some laws/processes are given in Column I. Match these with the physical phenomena given in Column II and indicate your answer by darkening appropriate bubbles in the 4 × 4 matrix given in the ORS. Includes table2007 · Shift 1 · Q64 · MCQ
  26. Statement 1 : If the accelerating potential in an X-ray tube is increased, the wavelengths of the characteristic X-rays do not change. Statement 2 : When an electron beam strikes the target in an X-ray tube, part of the kinetic energy is…2007 · Shift 1 · Q66 · MCQ
  27. Electrons with de-Broglie wavelength λ fall on the target in an X-ray tube. The cut-off wavelength of the emitted X-rays is2007 · Shift 2 · Q17 · MCQ