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

Questions on chapter Gravitation(Class-XI LEVEL)

GRAVITATION
1.       State and explain Newton’s law of gravitation. Hence define Gravitational Constant G. What is its value in SI?
2.       Define acceleration due to gravity. Discuss the variation of acceleration due to gravity with-i) the altitude ii) the depth and iii) the shape of the earth.
3.       Discuss the variation of acceleration due to gravity due to rotation of earth. What is the effect on g at poles and equator of the earth due to rotation of earth?
4.       Derive the relation
                                     g = GM/R2  for acceleration due to gravity of the earth,where M and R are the mass and radius of the earth.
5.       Show that the acceleration of free fall g at the surface of earth and the gravitational constant G are related by the expression
                         g = 4/3 πρGR, where ρ is mean density of the earth and R, radius of the earth.
6.       State and explain Kepler’s laws of planetary motion.
7.       State Kepler’s laws of planetary motion and deduce Newton’s law of gravitation from Kepler’s law.
8.       Discuss the effect of depth on acceleration due to gravity. What is its value at the centre of the earth?
9.       Prove that the distance we have to cover into earth below its surface is two times the distance we have to cover above the surface to get the same change in the value  of g .
1.   Show that Kepler’s second law follows from the law of conservation of angular momentum.
1.   According to Newton ‘s law of gravitation the  apple and the earth experience equal and opposite forces due to gravitation .but it is the apple that falls towards the earth and not vice –versa. Why?
1.   If the diameter of earth becomes two times its present and its mass remains unchanged; then how would the weight of an object on the surface of the earth be affected?
1.   Does acceleration due to gravity depend upon the mass of a planet? Explain.
1.   Do the forces of friction and other contact forces arise due to gravitation attraction? if not,what is the origin of these forces?
1.     Four equal masses are placed at the four corners of a square. What is the intensity of gravitati onal field at the point intersection of the diagonals of the square?
1.   Why do the stars appear displaced away from the sun?
1.   Dose the change in gravitational potential energy of a body between two points depend upon the nature of path followed? Explain
1.   Define gravitational field and intensity of gravitational field. Give its SI unit.
1.   Show that the gravitational field and potential at any point on the surface of the earth are g and g R respectively .The earth may be assumed to be a sphere of uniform density.
2.   Explain the terms gravitational field and the gravitational potential energy.
2.   Define gravitational potential and hence derive expression for it.
2  Define escape velocity. Derive an expression for escape velocity of an object from the surface of a planet.
2.   Briefly explain why there is practically no atmosphere on the sueface of the moon.
2.   Why dose hydrogen escape faster from earth’s atmosphere than oxygen.
2.   The artificial satellite does not have any fuel, but even then it remains orbiting around the earth. Why? Explain.
2.   If a satellite going around the earth suddenly loses weight, will there be a change in time period of the satellite?
2.   Air friction increases the velocity of the satellite. Explain.
2.   A satellite with kinetic energy EK  is revolving round the earth in a circular orbit. How much more kinetic energy should be given, so that it may just escape into the outer space?
2.   If T is the period of a satellite revolving just above the surface of a plate, whose average density is ρ, show that ρ T2 is a universal constant.
3.   What is the difference between ordinary and geostationary satellite?
3.   A body has a sense of weightlessness in a satellite revolving around the earth. Why? Moon is a satellite of earth, but there is no weightlessness condition on it. Explain.
3.   What do mean by geostationary satellite and parking orbit? Show that height of a geostationary satellite from the surface of earth is 36000km.
3.   What are lighter gaseous elements, like hydrogen, helium etc., rare in the earths atmosphere? Two artificial satellites of different masses are revolving round the earth at the same altitude. When one will be moving faster? Justify your answer?
3.   Derive the expressions for-i) kinetic energy ii) potential energy and iii) total energy of an artificial satellite. Also draw their graphical variation with position.
3.   Show that everything become weightless on earth’s surface (or, fly from earth)  if rotational speed of earth is increased 17th times of the present value.
3.   Show that the escape velocity of earth is 11.2km/s. Show that moon will escape from earth’s atmosphere if its speed is increased by 41.42 %.
3.   What do mean by weight of a body? Show that weight of a body becomes zero at the centre of earth.
3.   What will the weight of a body on the surface of earth, if earth is considered a hollow sphere?
3.   What do you mean by orbital velocity of an artificial satellite? Derive and expression for it. Show that time period and orbital velocity of a satellite don’t depends upon mass of the satellite.
40.   Derive a relation between orbital velocity and escape velocity of a satellite rotating very close to earth.

41.   What do you mean by a polar satellite? Write a short note on uses of a satellite.

SOME UNEVEN TOPICS OF PHYSICS

             SOME UNEVEN TOPICS OF PHYSICS                                                     1.CHANDRASEKHAR LIMIT ...