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Light of frequency 7.21 × 1014 Hz is incident on a metal surface. Electrons with a maximum speed of 6.0 × 105 m/s are ejected from the surface. What is the threshold frequency for photoemission of
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Light of wavelength 488 nm is produced by an argon laser which is used in the photoelectric effect. When light from this spectral line is incident on the emitter, the stopping (cut-off) potential of photoelectrons is 0.38 V. Find the work function of the material from which the emitter is
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Calculate the(a) momentum, (b) de Broglie wavelength of the electrons accelerated through a potential difference of
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What is the(a) momentum, (b) speed, (c) de Broglie wavelength of an electron with kinetic energy of 120
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The wavelength of light from the spectral emission line of sodium is 589 nm. Find the kinetic energy at which(i) an electron, (ii) a neutron, would have the same de Broglie
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What is the de Broglie wavelength of a bullet of mass 0.040 kg travelling at the speed of 1.0
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What is the de Broglie wavelength of a ball of mass 0.060 kg moving at a speed of 1.0
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What is the de Broglie wavelength of a dust particle of mass 1.0 × 10–9 kg drifting with a speed of 2.2
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An electron and a photon each have a wavelength of 1.00 nm. Find their
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An electron and a photon each have a wavelength of 1.00 nm. Find the energy of the
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An electron and a photon each have a wavelength of 1.00 nm. Find the kinetic energy of
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For what kinetic energy of a neutron will the associated de Broglie wavelength be 1.40 × 10–10
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Also find the de Broglie wavelength of a neutron, in thermal equilibrium with matter, having an average kinetic energy of (3/2) k T at 300
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Show that the wavelength of electromagnetic radiation is equal to the de Broglie wavelength of its quantum
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What is the de Broglie wavelength of a nitrogen molecule in air at 300 K? Assume that the molecule is moving with the root-meansquare speed of molecules at this temperature. (Atomic mass of nitrogen = 14.0076
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(i) Estimate the speed with which electrons emitted from a heated emitter of an evacuated tube impinge on the collector maintained at a potential difference of 500 V with respect to the emitter. Ignore the small initial speeds of the electrons. The specific charge of the electron, i.e., its e/m is given to be 1.76 × 1011 C kg–1 .(ii) Use the same formula you employ in (i) to obtain electron speed for an collector potential of 10 MV. Do you see what is wrong ? In what way is the formula to be
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(i) A monoenergetic electron beam with electron speed of 5.20 × 106 m s–1 is subject to a magnetic field of 1.30 × 10–4 T normal to the beam velocity. What is the radius of the circle traced by the beam, given e/m for electron equals 1.76 × 1011C kg–1 .(ii) Is the formula you employ in (i) valid for calculating radius of the path of a 20 MeV electron beam? If not, in what way is it modified? [Note: Exercises 20(ii) and 21(ii) take you to relativistic mechanics which is beyond the scope of this book. They have been
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An electron gun with its collector at a potential of 100 V fires out electrons in a spherical bulb containing hydrogen gas at low pressure (∼10–2 mm of Hg). A magnetic field of 2.83 × 10–4 T curves the path of the electrons in a circular orbit of radius 12.0 cm. (The path can be viewed because the gas ions in the path focus the beam by attracting electrons, and emitting light by electron capture; this method is known as the ‘fine beam tube’ method.) Determine e/m from the
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An X-ray tube produces a continuous spectrum of radiation with its short wavelength end at 0.45 Å. What is the maximum energy of a photon in the
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From your answer to (i), guess what order of accelerating voltage (for electrons) is required in such a tube
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