Home
Class 12
PHYSICS
An electron with total energy E = 5.1 eV...

An electron with total energy E = 5.1 eV approaches a barrier of height `U_(h) = 6.8 eV` and thickness L = 750 pm. What percentage change in the transmission coefficient T occurs for a `1.0%` change in (a) the barrier height, (b) the barrier thickness, and (c) the kinetic energy of the incident electron?

Text Solution

AI Generated Solution

To solve the problem, we need to analyze the transmission coefficient \( T \) for an electron tunneling through a potential barrier. The transmission coefficient is given by: \[ T = e^{-2\gamma L} \] where \( \gamma \) is defined as: ...
Promotional Banner

Topper's Solved these Questions

  • PHOTONS AND MATTER WAVES

    RESNICK AND HALLIDAY|Exercise PRACTICE QUESTIONS (Single Correct Choice Type)|47 Videos
  • PHOTONS AND MATTER WAVES

    RESNICK AND HALLIDAY|Exercise PRACTICE QUESTIONS (More than One Correct Choice Type)|5 Videos
  • PHOTONS AND MATTER WAVES

    RESNICK AND HALLIDAY|Exercise Check points|3 Videos
  • OSCILLATIONS

    RESNICK AND HALLIDAY|Exercise Practice Questions|57 Videos
  • RELATIVITY

    RESNICK AND HALLIDAY|Exercise PRACTICE QUESTIONS (Integer Type)|5 Videos

Similar Questions

Explore conceptually related problems

An electron with energy E is incident upon a potential energy barrier of height E_(pot) gt E and thickness L. The transmission coefficient T

An electron with energy E is incident on a potential energy barrier of height E_(pot) and thickness L. The probability of tunneling increases if

A technique called photelectron spectroscopy is used to measure the I.P of atoms. A same is irradiated with U.V light, and electrons are ejected from the valence shell. The kinetic energy of the ejected electrons are measured. Since, the energy of the U.V. photon and the kinetic energy of the ejected electrons are known, we can write hv = I.P. + (1)/(2) m u^(2) Where v is the frequency of the U.V light, and m and u are mass and velocity of the electron respectively. In one experiment the kinetic energy of the ejected electron from potassium is found to be. 5.34 xx 10^(-19) J using U.V. source of wavelength 162 nm. Calculate I.E. of potassium (h = 6.62 xx 10^(-34) J-s, c= 3 xx 10^(8) m " / " s) .

Light form a dicharge tube containing hydrogen atoms falls on the surface of a piece of sodium. The kinetic energy of the fastest photoelectrons emitted from sodium is 0.73 eV. The work function for sodium is 1.82 eV. Find (a) the energy of the photons causing the photoelectrons emission. (b) the quatum numbers of the two levels involved in the emission of these photons. (c ) the change in the angular momentum of the electron in the hydrogen atom, in the above transition, and (d) the recoil speed of the emitting atom assuming it to be at rest before the transition. (lonization potential of hydrogen is 13.6 eV.)

The work function for a metal is 1.8eV. Light of 5000Å is incident on it. Calculate (a) threshold frequency and threshold wavelength, (b) maximum kinetic energy of the emitted electrons, (c) maximum velocity of the emitted electrons, (d) if the intensity of the incident light be doubled, then what will be the maximum kinetic energy of the emitted electrons? given, h=6.63xx10^(-34)Js, m_e=9xx10^(-31)kg, c=3xx10^8ms^-1.

RESNICK AND HALLIDAY-PHOTONS AND MATTER WAVES-PROBLEMS
  1. The function Psi(x) displayed in Eq. 37-19 can describe a free particl...

    Text Solution

    |

  2. Show that the angular wave number k for a nonrelativistic free particl...

    Text Solution

    |

  3. An electron with total energy E = 5.1 eV approaches a barrier of heigh...

    Text Solution

    |

  4. An ultraviolet lamp emits light of wavelength 400 nm at the rate of 40...

    Text Solution

    |

  5. The smallest dimension (resolving power) that can be resolved by an el...

    Text Solution

    |

  6. The wavelength of the yellow spectral emission line of sodium is 590 n...

    Text Solution

    |

  7. A nonrelativistic particle is moving three times as fast as an electro...

    Text Solution

    |

  8. (a) Suppose a beam of 4.5 eV protons strikes a potential energy barrie...

    Text Solution

    |

  9. An isolated copper sphere of radius 5.0 cm, initially uncharged, is il...

    Text Solution

    |

  10. An orbiting satellite can become charged by the photo- electric effect...

    Text Solution

    |

  11. The work function of tungsten is 4.50 eV. Calculate the speed of the f...

    Text Solution

    |

  12. A helium-neon laser emits red light at wavelength lambda=633 nm in a b...

    Text Solution

    |

  13. A light detector (your eye) has an area of 2.00 xx 10^(-6) m^(2) and a...

    Text Solution

    |

  14. If the de Broglie wavelength of a proton is 100 fm, (a) what is the sp...

    Text Solution

    |

  15. What is the wavelength of (a) a photon with energy 1.00 eV, (b) an ele...

    Text Solution

    |

  16. The wavelength associated with the cutoff frequency for silver is 325 ...

    Text Solution

    |

  17. A light detector has an absorbing area of 3.00 xx 10^(-6) m^(2) and ab...

    Text Solution

    |

  18. At what rate does the Sun emit photons? For simplicity, assume that th...

    Text Solution

    |

  19. What (a) frequency, (b) photon energy, and (c) photon momentum magnitu...

    Text Solution

    |

  20. The beam emerging from a 1.5 W argon laser (lambda=515 nm) has a diame...

    Text Solution

    |