Home
Class 12
PHYSICS
The wavelength of a probe is roughly a ...

The wavelength of a probe is roughly a measure of the size of structure that it can probe in some detail. The quarks structure of photons and neutrons appears at the minute length -scale of `10^(-15)m` or less. This structure was first probed in early 1970's using high energy electron beam produced by a linear accelerator at Stanford's USA. Guess what might have been the order of energy of these electron beams (Rest mass energy of electron=0.511 eV).

Text Solution

Verified by Experts

Given `lambda = 10^(-15) m , E = 0.511 MeV , P = h/lambda = (6.63 xx10^(-34))/(10^(-15)) = 6.63 xx10^(-19) " Kg"^(-m//s)`
Rest mass energy `E_(0) = m_(0)c^(2) = 0.511 MeV = 0.511 xx 1.6 xx 10^(-13) T`
From relativstic theory , `E^(2) = p^(2)c^(2) + m_(0)^(2)c^(4)`
` = (3 xx 10^(8) xx 6.63 xx 10^(-19))^(2) + (0.511 xx 10^(-13)xx 1.6)^(2) = 9 xx (6.63 )^(2) xx10^(-22)`
As the rest mass energy is negligible ` :. ` Energy E = ` sqrt(p^(2)c^(2) ) = pc = 6.63 xx10^(-19) xx 3xx 10^(8)`
` = (1.989 xx10^(-10))/(1.6 xx10^(19)) eV = 1.24 xx10^(9) eV = 1.24 " BeV"`
Thus , the energies the electron beam , the energy should be of the order of BeV.
Promotional Banner

Topper's Solved these Questions

  • DUAL NATURE OF RADIATION AND MATTER

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise DAM SURE (VSAQ)|2 Videos
  • DUAL NATURE OF RADIATION AND MATTER

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise TEXTUAL EXERCISES|34 Videos
  • CURRENT ELECTRICITY

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise ADDITIONAL EXERCISES|22 Videos
  • ELECTRIC CHARGES AND FIELDS

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise DAM SURE LAQ|1 Videos

Similar Questions

Explore conceptually related problems

The wavelength of a probe is roughly a measure of the size of a structure that it can probe in some detail. The quark structure of protons and neutrons appears at the minute length-scale of 10^(-15)m or less. This structure was first probed in early 1970’s using high energy electron beams produced by a linear accelerator at Stanford, USA. Guess what might have been the order of energy of these electron beams. (Rest mass energy of electron = 0.511 MeV.)

The linear structure is assumed by :

The electronic structure of oxygen is

DNA probe is used for

Why X- rays are needed to probe the crystal structure ?

In the electronic structure of acetic acid there are

The detailed structure of cell membrane was studied only after the invention of

VIKRAM PUBLICATION ( ANDHRA PUBLICATION)-DUAL NATURE OF RADIATION AND MATTER-ADDITIONAL EXERCISES
  1. In an accelerator experiment on high energy collision of electrons wit...

    Text Solution

    |

  2. Estimate the following the following two numbers should be interesting...

    Text Solution

    |

  3. Estimate the following the following two numbers should be interesting...

    Text Solution

    |

  4. Ultraviolet light of wavelength 2271Å from a 100W mercury source irrad...

    Text Solution

    |

  5. Monochromatic radiation of wave length 640.2 nm (1nm=10^(-9)m) from a ...

    Text Solution

    |

  6. A mercury lamp is a convenient source for studying frequency dependenc...

    Text Solution

    |

  7. The work function for the following metals is given Na: 2.75 eV, K:2.3...

    Text Solution

    |

  8. Light of intensity 10^(-5)Wm^(-2) falls on a sodium photocell of surfa...

    Text Solution

    |

  9. Crystal diffraction experiments can be performed using X-rays, or elec...

    Text Solution

    |

  10. (a) Obtain the de-Broglie wavelength of a neutron of kinetic energy 15...

    Text Solution

    |

  11. Obtain the de Broglie wavelength associated with thermal neutrons at r...

    Text Solution

    |

  12. An electron microscope uses electrons accelerated by a voltage of 50kV...

    Text Solution

    |

  13. The wavelength of a probe is roughly a measure of the size of structu...

    Text Solution

    |

  14. Find the typical de-Broglie wavelength associated with a H-atom in he...

    Text Solution

    |

  15. Compute the typical de-Broglie wavelength of an electrons in a metal a...

    Text Solution

    |

  16. Answer the following questions: (a) Quarks inside protons and neutro...

    Text Solution

    |

  17. What is so special about the combination e/m ? Why do we not simply t...

    Text Solution

    |

  18. Why should gases be insulators at ordanary pressures and start condu...

    Text Solution

    |

  19. Every metal has a definite work function . Why do all photoelectrons ...

    Text Solution

    |

  20. The energy and momentum of an electron are related to the frequency an...

    Text Solution

    |