Dual nature of matter and radiation(Class-XII LEVEL) Questions


DUAL NATURE OF MATTER AND RADIATION
1. With what purpose was famous Davisson-Gerber experiment with electrons performed?
2. How will the photoelectric current change on decreasing the wavelength of incident radiation for a given photosensitive material?
3. Name the experiment which establishes the wave nature of a particle?
4. How does the stopping potential ‘in photoelectric emission depend upon
(i) the intensity of the incident radiation
(ii)the frequency of the incident radiation?
5. Show graphically how the stopping potential for a given photosensitive surface varies with the frequency of the incident radiation. 
6. If the intensity of the incident radiation on a photosensitive surface is doubled, how does the kinetic energy of the emitted electrons get affected?
7. Define work function for a given metallic surface?.Prove that the de-Broglie wavelength λ of electrons of energy E is given by, λ=h/2mE
8. Two beams, one of red light and the other of blue light, of the same intensity are incident on a metallic surface to emit photoelectrons. Which one of the two beams emits elections of greater kinetic energy?
9. A photon has velocity “c” and frequency “v”. Write down the expression for its wavelength?.Establish Bohr’s theory from de-Broglie’s hypothesis.
10. If the potential difference used to accelerate electron is doubled, by what factor does the de-Broglie wavelength of the electron beam change?
11. If the intensity of the incident radiation in a photocell is increased, how does the stopping potential vary?
12. How does the maximum kinetic energy of electrons emitted vary with the work function of the metal?  
13. State two applications of photocell?. X-ray rays of wavelength λ fall on a photosensitive surface emitting electrons. Assuming that the work function of the surface can be neglected, prove that the de-Broglie wavelength of electrons emitted will be (hλ/2mc).
14. On what factor does the energy carried by a photon of light depend?.Prove that the product of the slope of ν-Vs graph and electronic charge gives the value of Planck’s constant?
15. Why alkali metals are most suitable for photoelectric emission?
16. A photon and an electron have the same wavelength. Which particle is moving fasted?
17. What is the rest mass of a photon?.State the properties of photons.
18. Are matter waves electromagnetic? Write de-Broglie waves equation?
19. An electron and a proton are moving in the same direction and possess same kinetic energy. Find the ratio of de-Broglie wavelengths associated with these particles?
20. An election and a proton have the same kinetic energy. Which of the two has a greater wavelength? Explain.
21. Define the term threshold frequency and work function in relation to photoelectric effect?
22. Why is no electron emitted from a plastic plate, when light incident on it?
23. Is there any difference between the wave-length of the radiation and the de-Broglie wavelength of a photon of that radiation?
24. Two metals X and Y when illuminated with appropriate radiations emit photoelectrons. The work function of X is higher than that of Y. Which metal will have higher value of threshold frequency and why?
25. Green light ejects photoelectrons from a given photosensitive surface whereas yellow light does not. What will happen in case of violet and red light? Give reason for your answer?
26. What is meant by work function of a metal? How does the value of work function influence the kinetic energy of electrons liberated during photoelectric emission?
27. Define the terms ‘threshold frequency’ and ‘stopping potential’ for photoelectric effect. Show graphically how the stopping potential, for a given metal, varies with frequency of the incident radiations. Mark threshold frequency on this graph?
28. Explain laws of photoelectric emission on the basis of Einsteins photoelectric equation?
29. An -particle and a proton are accelerated though the same potential difference. Calculate the radio of velocities acquired by the two particles?
30. Obtain the expression for the maximum kinetic energy of the electrons emitted from a metal surface in terms of the frequency of the incident radiation and the threshold frequency?
31. Draw a graph showing the variation of stopping potential with frequency of incident radiations in relation to photoelectric effect. Deduce an expression for the slope of this graph using Einsteins photoelectric equation?
32. Define the terms threshold frequency and stopping potential in relation to the phenomenon of photoelectric effect. How is the photoelectric current affected on increasing the (i) frequency (ii) intensity of the incident radiations and why?
33. Sketch a graph between frequency of incident radiations and stopping potential for a given photosensitive material. What information can be obtained from the value of the intercept on the potential axis?
34. Explain the laws of photoelectric emission on the basis of Einstein’s photoelectric equation. Write one feature of the photoelectric effect which cannot be explained on the basis of wave theory of light.
35. Mention the significance of Davisson-Germer experiment. An ᾳ-particle and a proton are accelerated from rest through the same potential difference V. Find the ratio of de-Broglie wavelength associated with them.
36. Red light, however bright it is, cannot produce the emission of electrons from a clean zinc surface. But even weak ultraviolet radiation can do so. Why?

                                                                                                         -AJAY KUMAR SHARMA

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