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Previous Year CBSE Questions Page 361 of 484 Answer Key Section-B 1 Mark’s Questions Q22. (b) Both statement I and II are true; but even it radiation of single wavelength is incident on photosensitive surface, electrons of different KE will be emitted. Q.23(b) Q.24 (d) Photoelectric saturation current is independent of frequency. It only depends on intensity of light Q.25. inversely Q.26. Heinrich Hertz, 1887 Q.27 (d) All of these Q.28 (a) 5.47 Å Q.29. (b) λ/2 Q.30. (b) Q.31. (a) frequency CASE STUDY BASED QUESTIONS Q.32. I. d II. C III. A IV. B V. d Two Mark’s Questions Q.33. Calculating (i) Energy of a photon = hν= 6.63 × 10–34 × 6.0 × 1014 J = 3.978 × 10–19 J (ii) Number of photons emitted per second = Power x Energy of photon = 2 𝑥10−3 x 3.978 𝑥 10−19 = 5.03 × 1015 photons/second Q.34. If radiation of frequency (ν) greater than threshold frequency (ν0) irradiate the metal surface, electrons are emitted out from the metal. So Einstein’s photoelectric equation can be given as 𝐾max= ½ m𝑣 2 = hν – h𝜈𝑂 Characteristic properties of photons: (Q) Energy of photon is directly proportional to the frequency (or inversely proportional to the wavelength. Previous Year CBSE Questions Page 362 of 484 (ii) In photon-electron collision, total energy and momentum of the system of two constituents remains constant. Q.35. 3 Mark’s Questions Q.36 (a) The minimum amount of energy required to take out an electron from the surface of metal. It is measured in electron volt (eV). (b) (i) Saturation current depends only on the intensity of incident radiation but is independent of the frequency of incident radiation. (ii) Stopping potential does not depend on the intensity of incident radiations. (iii) Photoelectric current is directly proportional to the intensity of incident radiations, provided the given frequency is greater than the threshold frequency. Previous Year CBSE Questions Page 363 of 484 Q.37 Slope of the graph Einstein photoelectric equation Differentiating equation (1) Thus slope is equal to the ratio of Planck’s constant to the charge on electron. Threshold frequency – The minimum values of frequency of the incident light below which photoelectric emission is not possible is called as threshold frequency. Q.38 (a) Wave nature of radiation cannot explain the following: (i) The instantaneous ejection of photoelectrons. (ii) The existence of threshold frequency for a metal surface. (iii) The fact that kinetic energy of the emitted electrons is independent of the intensity of light and dependence upon its frequency. Thus, the photoelectric effect cannot be explained on the basis of wave nature of light. (b) Photon picture of electromagnetic equation is based on particle nature of light. Its basic features are: (i) In interaction with matter, radiation behaves as if it is made up of particles called photons. (ii) Each photon has energy E = h ν and momentum p = h v/c and c, the speed of light Previous Year CBSE Questions Page 364 of 484 Q.39. (a) ‘X’ is a collector plate potential. (b) ‘A’ represents the stopping potential. (c) Graph for different frequencies ********** Previous Year CBSE Questions Page 365 of 484 SECTION-C 1 Mark Questions Directions: These questions consist of two statements, each printed as Assertion and Reason. While answering these questions, you are required to choose any one of the following four responses. (a) If both Assertion and Reason are correct and the Reason is a correct explanation of the Assertion. (b) If both Assertion and Reason are correct but Reason is not a correct explanation of the Assertion. (c)If the Assertion is correct but Reason is incorrect. (d) If both the Assertion and Reason are incorrect. I If the Assertion is false but Reason is correct Q.40 Assertion: When the speed of an electron increases its specific charge decreases. Reason: Specific charge is the ratio of the charge to mass. Q.41 Assertion: Photosensitivity of a metal is high if its work function is small. Reason: Work function =hf0, where f0 is the threshold frequency. [AIIMS 1997] Q.42 Assertion: Though light of a single frequency (monochromatic) is incident on a metal, the energies of emitted photoelectrons are different. Reason: The energy of electrons emitted from inside the metal surface, is lost in collision with the other atoms in the metal. Q.43. Assertion (A): The photoelectrons produced by a monochromatic light beam incident on a metal surface have a spread in their kinetic energies. ReasonI: The energy of electrons emitted from inside the metal surface, is lost in collision with the other atoms in the metal. (CBSE Sample paper 2022) Q.44. A proton and an alpha particle are accelerated through the same potential difference. The ratio of their de-Broglie wavelengths will be………. Q.45. The Davison and Germer experiment established the existence of……………. Q.46 The photoelectric current is unaffected by 1. incident light frequency Previous Year CBSE Questions Page 366 of 484 2.metal work function 3.stopping potential 4.incident light intensity (a) (i) and (iv) only (b) (ii) and (iii) only I (iii) only (d) (ii) only Q.47. Which of the following will emit photoelectrons when it collides with a metal? (a) UV radiations (b) Infrared radiation (c) Radio waves (d) Microwaves Q.48. What will be the de-Broglie wavelength of an electron accelerated from rest through a potential difference of 100 volts? (a) 12.3 Å (b) 1.23 Å (c) 0.123 Å (d) None of these Q.49. Two beams, one of red light and the other of blue light having the same intensity are incident on a metallic surface to emit photoelectrons. Which emits electrons of greater frequency? (a) Both (b) Red light (c) Blue light (d) None Q.50. In the Davisson and Germer experiment, the velocity of electrons emitted from the electron gun can be increased by (a)Increasing the potential difference between the anode and filament (b) Increasing the flame current (c) Decreasing the flame current (d) Decreasing the potential difference between anode and filament Q.51. The work function for a metal surface is 4.14 eV. The threshold wavelength for this metal surface is: (a) 4125 Å (b) 2062.5 Å (c) 3000 Å (d) 6000 Å ( CBSE Sample paper 2022) CASE STUDY BASED QUESTIONS Q.52 Lenard observed that when ultraviolet radiations were allowed to fall on the emitter plate of an evacuated glass tube, enclosing two electrodes (metal plates), current started flowing in the circuit connecting the plates. As soon as the ultraviolet radiations were stopped, the current flow https://collegedunia.com/exams/davisson-and-germer-experiment-set-up-observations-and-de-broglies-relation-physics-articleid-103 Previous Year CBSE Questions Page 367 of 484 also stopped. These observations proved that it was ultraviolet radiations, falling on the emitter plate, that ejected some charged particles from the emitter and the positive plate attracted them. (I)Alkali metals like Li, Na, K and Cs show photo electric effect with visible light but metals like Zn, Cd and Mg respond to ultraviolet light. Why? (a) Frequency of visible light is more than that for ultraviolet light(b) Frequency of visible light is less than that for ultraviolet light I Frequency of visible light is same for ultraviolet light (d) Stopping potential for visible light is more than that for ultraviolet light (II)Why do we not observe the phenomenon of photoelectric effect with non-metals? (a)For non-metals the work function is high (b) Work function is low I Work function can’t be calculated (d) For non-metals, threshold frequency is low (III)What is the effect of increase in intensity on photoelectric current? (a)Photoelectric current increases (b) Decreases (c) No change (d) Varies with the square of intensity (IV)Name one factor on which the stopping potential depends (a)Work function (b) Frequency © Current (d) Energy of photon (V)How does the maximum K.E of the electrons emitted vary with the work function of metal? (a) It doesn’t depend on work function (b) It decreases as the work function increases (c) It increases as the work function increases (d) It’s value is doubled with the work function Q.53.Name the phenomenon which is used to establish the wave nature of electrons in the Davisson-Germer experiment. CBSE (2020) Q.54. Calculate the kinetic energy of an electron having de Broglie wavelength of 1Å. Previous Year CBSE Questions Page 368 of 484 CBSE (2017) Q.55. Name the three important features in photoelectric effect which can be explained by Einstein’s photoelectric equation . CBSE (2017) TWO MARK’s QUESTIONS Q.56. The de-broglie wavelengths associated with an electron and proton are equal. Prove that the kinetic energy of the electron is greater than that of then proton. Q.57 Two lines, A and B, in the plot given below show the variation of de-Broglie wavelength, λ versus 1/√V, Where V is the accelerating potential difference, for two particles carrying same charge. Which one of two represents a particle of smaller mass? (All India 2008) THREE MARK’s QUESTIONS Q.58. A proton and an alpha particle have the same de – Broglie wavelength. Determine the ratio of (i) their accelerating potentials (ii) their speeds. CBSE 2015 Q.59. The graph in figure, shows the variation of stopping potential with frequency v of the incident radiation for two photosensitive metals X and Y. V0 X Y o 0.5 1.0 (i)which of the metals has large threshold wavelength? Give reason. (ii) Explain giving reason, which metal gives out electrons, having large K.E. for the same wavelength of the incident radiation (iii) If the distance between the light source and metal X is doubled, how will the K.E of electrons emitted from it change? Give reason. CBSE 2008 Q.60. a) State three important properties of photons which describe the particle picture of electromagnetic radiation. (b) Use Einstein’s photoelectric equation to define the terms. (i) stopping potential and (ii) threshold frequency. Previous Year CBSE Questions Page 369 of 484 SECTION C- Answer Key Q.40(b) Q.41(b) Less work function means less energy is required for ejecting out the electrons Q.42.(a) When a light of single frequency falls on the electrons of inner layer of metal, then this electron comes out of the metal surface after a large number of collisions with atom of it’s upper layer. Q.43 (a) Q.44. 2√2 :1 Q.45. electron wave Q.46 (c) (iii) only Q.47. (a) UV radiations Q.48. (b) 1.23 Å Explanation: The value of V is given 100 volts. Equation of de Broglie wavelength of electron λ=h/2meV λ=6.6×10−34/2(9.1×10−31)(1.6×10−19)(100) λ=6.6×10−34/2(9.1×10−31)(1.6×10−19)(100) λ = 6.6 ×10-34 / 5.4 ×10-10m λ=1.277×1010m=1.23Å Q.49. (c) Blue light Explanation: Einstein’s photoelectric equation is given by Ek = hv – ϕϕ Where, Ek is the maximum kinetic energy of the ejected electron. Energy of the photon of the blue light (hv)blue is higher compared to red light (hv)red. In photoelectric emission, Ek ∝ (hv). Therefore, blue light emits electrons of greater kinetic energy than that of red light. Q.50. (a) increasing the potential difference between the anode and filament Explanation: if, e is the charge on electron, V is the potential difference, m is the mass of the particle and v is the velocity of the particle then, eV = ½ mv2 Therefore, in the Davisson and Germer experiment, velocity of electrons emitted from electron guns can be increased by increasing the potential difference between anode and filament. Q.51. (iii) 3000 Å Previous Year CBSE Questions Page 370 of 484 Q.52. (I)b (ii) a (III) a (IV) b (V) b Q.53. Electron diffraction. Q.54. de-Broglie wavelength λ = ℎ/𝑚𝑣=h/p Kinetic Energy= p2/2m= 1 2𝑚 ( ℎ λ )2 = (6.626x10-34)2/2x9.11x10-31x(1x10-10)2 = 2.409x10-17J Q.55.( i)For a given metal and frequency of incident radiation, the number of photoelectrons ejected per second is directly proportional to the intensity of incident radiation. (ii) Maximum kinetic energy of the emitted photo electron is independent of the intensity of incident radiations. (iii) Emission of photoelectrons is instantaneous TWO MARK’s QUESTIONS Q.56. de-broglie wavelength of a particle of mass m and kinetic energy E is λ = 𝒉 √𝟐𝒎𝑬 or E= h2/2m λ2 for particle having same λ, Eα 1/m As mass of electron as smaller than that of proton, so the electron has a higher kinetic energy and it is moving faster. Q.57.