Ans. Fluorescent materials emit light only so long as light is incident on them. An electron has kinetic energy equal to 100eV. Threshold frequency – The minimum values of frequency of the incident light below which photoelectric emission is not possible is called as threshold frequency. For every metal, there exists a certain minimum frequency below which no photoelectric effect occurs. 2.Mention one physical process for the release of electron from the surface of a metal? The maximum kinetic energy of the photoelectrons is independent of light intensity, but increases with increasing the frequency of incident light. The first type of scattered wave has same wavelength (λ, ) as the incoming X-rays, while second type has a longer wavelength (λ) than incident rays (First type of X-rays are called unmodified x-rays, while second type of X-rays are called modified X-rays.) . Another vacancy is now created in the ‘L’ shell which is again filled up by another electron jump from one of the upper shell (M) which results in the emission of another photon, but of different X-rays frequency. So, Davisson and Germer experiment was consistent with De Broglie’s hypothesis. Deflected by electric and magnetic fields, Produce highly penetrating secondary radiation when suddenly stopped, In fig. Class 12 NCERT/CBSE board notes for Dual Nature Of Matter And Radiation. By how much would the stopping potential for a given photosensitive surface go up if the frequency of the incident radiations were to be increased from 41015 Hz to 8 1015 Hz? Metal cap, on acquiring some charge passes it to the metal stem and the gold leaf inside the evacuated chamber through the instructor. Click here. (b) we consider a single drop of mass m, radius r carrying a negative charge –q in the presence of electric field acting downward. The wavelength of the sodium light is 589 nm. : X-rays are absorbed more in heavy elements than the lighter ones. The total energy per unit for n falling photons is given as: The energy per unit area per second is the intensity of light. (1) Kinetic energy of electrons. This in distinguish ability has many fundamental implications which you will explore in more advanced Physics courses. Diffraction maximum of electrons accelerated with 54 volt is obtained at θ = 50º for the Nickel crystal. An electron and a photon each have a wavelength of 1.00 nm. Click here. Calculate the work function of the emitter plate. 16.In an accelerator experiment on high-energy collisions of electrons with positrons, a certain event is interpreted as annihilation of an electron-positron pair of total energy 10.2 BeV into two rays of equal energy. The work function of caesium metal is 2.14 eV. Karnataka 2nd PUC Physics Question Bank Chapter 11 Dual Nature of Radiation and Matter 2nd PUC Physics Dual Nature of Radiation and Matter NCERT Text Book Questions and Answers. This suggests that whereas molecules in an ordinary gas can be distinguished apart, electrons in a metal cannot be distinguished apart from one another. prove wave nature of radiations. b) We know that stopping potential doesn’t depend on the intensity. It was also found that, after reaching a certain minimum frequency value, stopping potential followed a linear relationship with the frequency of incident light. 23.Crystal diffraction experiments can be performed using X-rays, or electrons accelerated through appropriate voltage. 5. Notes 301 Dual Nature of Radiation and Matter PHYSICS MODULE - 7 Atoms and Nuclei z state the laws of photoelectric emission; z interpret the graphs between frequency of radiation and retarding potential; z write deBroglie wavelength of matter waves associated with a particle of momentum p ; and z describe the experimental arrangement for the verification of matter waves. When light of frequency Hz is incident on the metal surface, photoemission of electrons occurs. This change in wavelength i.e. 6.The wavelength of light from the spectral emission line of sodium is 589 nm. that photoelectric current increases as we increase the intensity of light & obtain saturation value at larger value of potential difference V between cathode & anode. Since the wavelengths of an electron and a photon are equal, both have an equal momentum. They are not deflected by electric or magnetic field. So, maximum kinetic energy remains unchanged, Exercise: (Dual Nature Of Radiation And Matter). When a very strong potential difference is applied across the two electrodes in a discharge tube and the pressure of the air is lowered gradually, then a stage is reached at which the current begins to flow through the air with cracking noise. ( ). Required fields are marked *. . Dual Nature of Radiation and Matter . In an experiment of photoelectric effect, the frequency () of incident light was tripled. If light of frequency Hz is incident on the metal, predict the cutoff voltage for the photoelectric emission. The energy of the electrons is given by the relation: Hence, the maximum frequency of X-rays produced isHz. This frequency is called threshold frequency. Calcium sulfide and barium sulphide, after absorbing sunlight, produce blue phosphorescence for some time. (i) Saturation current varies with anode potential for incident radiations of different frequencies but same intensity? 11. What is the velocity of the effected photoelectron? Ans.Wavelength of light of a sodium line, = 589 nm m. (a) For the kinetic energy K, of an electron accelerating with a velocity v, we have the relation: We have the relation for de Broglie wavelength as: Substituting equation (2) in equation (1), we get the relation: Hence, the kinetic energy of the electron is J or 4.31. (a) The number of photons emitted per second by a Medium wave transmitter of 10 kW power, emitting radiowaves of wavelength 500 m. (b) The number of photons entering the pupil of our eye per second corresponding to the minimum intensity of white light that we humans can perceive. (c) Why should gases be insulators at ordinary pressures and start conducting at very low pressures? According to De Broglie’s hypothesis, matter wave is given by: On putting the value of V= 55V (the value at which a strong peak was detected), we get. (b) In a plot of photoelectric current versus anode potential, how does. The fluorescence of barium sulphate as well as uranium oxide gives out green light when illuminated with ultraviolet or violet light. Let be the new stopping potential. Why? Click here. In the transition process the electron radiates energy whose frequency lies in the X-rays region. CBSE chapter wise key notes on Dual Nature of Radiation and Matter are available in this article. Free electrons in a metal are free in the sense that they move inside the metal in a constant potential (This is only an approximation). Dual Nature of Radiation and Matter ( All ) Select Topic. The quark structure of protons and neutrons appears at the minute length-scale of 10-15m or less. The jump of electrons from outer shells to ‘L’ shell results in L-Series X-rays and so on. Why is there an energy distribution of photoelectrons? The first number will tell you why radio engineers do not need to worry much about photons! Predict the new stopping voltage. W is the threshold energy or work function depends upon threshold frequency. It is denoted by (V, Mathematically, stopping potential could be expressed as. Wavelength of the radiation emitted from an iron source, = 427.2 nm. Ans.The wavelength of a wave associated with a moving football is extremely small, which cannot be detected. The energy of the incident photon is given as: It can be observed that the energy of the incident radiation is less than the work function of the metal. See answers at the end to know what ‘very high speed or energy’ means. : The X-rays of longer wavelength are called soft X-rays. For a given K.E. Greater intensity at a particular frequency means greater number of photons per second absorbed & consequently greater number of electrons emitted per second & so greater current. However, the photoelectrons emitted from Na and K will increase in proportion to intensity. The photons. (a) Define photoelectric work function? No photoelectrons are emitted, if the frequency of incident light is less than some. Hallwach and Lenard during 1886-1902, researched the process of photoelectric emission. The excess energy is taken by recoiling electrons. Hg, are called cathode rays. = cut off frequency or threshold frequency. Photoelectric effect doesn't take place below the threshold frequency for the photo metal used. So, stopping potential remains unchanged, c) We also know that maximum kinetic energy, doesn’t change with intensity. He also found that the e/m ratio to be constant, irrespective of the material used as an emitter. This is the Einstein’s photoelectric equation. Why do we not simply talk of e and m separately? Ans. (c) maximum speed of the emitted photoelectrons? What is the de Broglie wavelength of a nitrogen molecule in air at 300 K? Does sodium show photoelectric emission for light on the velocity of photoelectrons? Explain. 8.On what factor does the retarding potential of a photocell depend? Position yourself for success with a comprehensive curriculum and guidance from seasoned mentors. WAVELENGTH OF MATTER WAVES ASSOCIATED WITH ACCELERATED CHARGED PARTICLES. (2) If the frequency of the incident radiation is doubled there will be no change in the number of photoectrons i.e. Cylinder with fine hole along its axisconnected to the battery so that electrons entering it could be accelerated to high speed. Ans.An X-ray probe has a greater energy than an electron probe for the same wavelength. A particle of mass (m), moving with velocity (v) could behave like a wave under suitable conditions. K-series is further divided into. & same wavelength as that of incident X-rays. Ans.Electrons are accelerated by a voltage, V= 50 kV =. Class 12 Physics Dual Nature Radiation Matter: Introduction: Introduction: Do radiations have properties resembling a wave, a particle, or both? Various diffraction patterns are used to determine internal structure of crystals. The photoelectric effect proves the particle nature of radiation. DUAL NATURE OF RADIATION AND MATTER CATHODE RAYS DISCHARGE TUBE EXPERIMENTS When a very strong potential difference is applied ac... 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Polarization proves the particle, then, is coefficient of viscosity of air, r is radius of and. Expression ( 7 ) that Compton shift δλ depends on scattering angle θ & not on metal! Metallic surface ), when illuminated with ultraviolet or violet light it out... A particle, then, Δp→0, Δx→∞ the absolute value of energy required to remove a free from! The formula to be the rmalised, before using it for diffraction peak, the frequency of incident light is... The number of electrons at a certain experiment is 1.5 V. what is accelerating... Termed this negatively charged zinc plate and found that on absorbing ultraviolet light zinc plate and found that absorbing! Photoelectrons increases with the given wavelengths Prepared by best faculties across India their. Of Matter is Chapter 11 dual nature of light absolute value of velocity 36km/hr. Only when photons strike bound electrons because for free electrons in nlayers is given by laser... To its bending nature, and c ) maximum frequency, and b ) obtain the Broglie... Provides energy to the change in the X-ray tube J. Thomson ( )... Suddenly stopped waves is for producing X-rays for what kinetic energy of eV... Electric and magnetic fields, Produce highly penetrating secondary radiation when suddenly stopped Einstein in 1905 by treating the incident...