Home
Class 12
PHYSICS
Electron density in a copper wire is 8.0...

Electron density in a copper wire is `8.0 xx10^(22) cm ^(-3)`. Calculate the relaxation time for electrons if the resistivity of copper is `1.68xx10^(-8) Omega m` at room temperature.
(Massof electron is `9.1 xx10^(-31) kg`.)

Text Solution

AI Generated Solution

To calculate the relaxation time (τ) for electrons in a copper wire, we can use the relationship between resistivity (ρ), electron density (η), mass of the electron (m), and the charge of the electron (e). The formula we will use is: \[ \rho = \frac{m}{\eta e^2 \tau} \] From this formula, we can rearrange it to solve for τ: ...
Promotional Banner

Topper's Solved these Questions

  • CURRENT ELECTRICITY

    MODERN PUBLICATION|Exercise CONCEPTUAL QUESTIONS|35 Videos
  • CURRENT ELECTRICITY

    MODERN PUBLICATION|Exercise TOUGH AND TRICKY PROBLEMS|23 Videos
  • CURRENT ELECTRICITY

    MODERN PUBLICATION|Exercise Chapter Practice Test|15 Videos
  • ATOMS

    MODERN PUBLICATION|Exercise Chapter Practice Test|16 Videos
  • DUAL NATURE OF RADIATION AND MATTER

    MODERN PUBLICATION|Exercise CHAPTER PRACTICE TEST|15 Videos

Similar Questions

Explore conceptually related problems

Calculate the resistance of 1 km long copper wire of radius 1 mm . Resistivity of copper is 1.72 xx 10^-8 Omega m .

If the free electron density of copper is 8.6xx10^(28)m^(-3) and resistivity of copper at room temperature is 1.7xx10^(-6)Omega cm , find the relaxation time for the free electrons of copper. Given, mass of electron =9.1xx10^(-31) kg , and charge of electron =1.6xx10^(-19)C .

Electron density in a conductor of area of cross section 0.006 cm^2 is 8.0 xx10^(22) cm ^(-3) . Calculate the drift velocity of electron in the wire if a current of 2 flows through it.

Calculate the electric field in a copper wire of cross-sectional area 2.0 mm square carrying a current of 2 A. The resistivity of copper is 1.7 xx 10^(-8)Omega m .

Find the relaxation time for free electrons in copper, if the density of mobile electrons is 8.4 xx10^(28) m^(-3) . The resistivity of copper at room temperature is 1.7xx10^(-8)Omega m . Given : mass of electron =9.11 xx10^(-31) kg and charge on electron =1.6xx10^(-19)C .

The resistivity of copper at room temperatrue is 1.7xx10^(-8) Omega m . If the free electron density of copper is 8.4xx10^(28) m^(-3) , find the relaxation time for the free electrons of copper. Given m_(e)=9.11xx10^(-31) kg and e=1.6xx10^(-19) C .

When the resistance of copper wire is 0.1 Omega and the radius is 1mm, then the length of the wire is (specific resistance of copper is 3.14 xx 10^(-8) ohm xx m )

What is the number of electrons that would weight 1 kg? Mass of an electron is 9.11 xx 10^-31 kg .

Calculate the relaxation time and mean free path at room temperature (i.e. 27^(@)C ). If the number of free electrons per unit volume is 8.5 xx 10^(28)//m^(3) and resistivity rho = 1.7 xx 10^(8) Omega-m . Given that mass of electron = 9.1 xx 10^(-31) kg e = 1.6 xx 10^(-19)C and k = 1 .36 xx 10^(-23) JK^(-1)

MODERN PUBLICATION-CURRENT ELECTRICITY-PRACTICE PROBLEMS
  1. Calculate the resistance of a hollow cylinder made of copper with inne...

    Text Solution

    |

  2. A conducting wire carrying 1 A of current is connected across a batter...

    Text Solution

    |

  3. Electron density in a copper wire is 8.0 xx10^(22) cm ^(-3). Calculate...

    Text Solution

    |

  4. A condutor of length l is stretched such that its length increases by ...

    Text Solution

    |

  5. A conductor of mass 0.50 kg and density 9xx10^3kg m^(-3) has a resista...

    Text Solution

    |

  6. Calculate the electrical conductivity of 2.15 m long conductor with ar...

    Text Solution

    |

  7. A wire of 15 Omega resistance is gradually stretched to double in orig...

    Text Solution

    |

  8. A conductor has resistance of 5 Omega at 60^@C and 6 Omega at 100 ^@C ...

    Text Solution

    |

  9. A conducting wire has a resistance of 5 Omega "at" 0^@C and 5.6 Omega ...

    Text Solution

    |

  10. A current of 5 A flows through a conductor 25 ^@C, when connected to a...

    Text Solution

    |

  11. Resistance of two wires A and B at 10^@C are 3.8 Omega and 4.0 Omega r...

    Text Solution

    |

  12. A conductor of uniform area of cross section A has a variable resistiv...

    Text Solution

    |

  13. Calculate the resistance and electrical conductivity of a 2m long cop...

    Text Solution

    |

  14. A conductor of resistance 25 Omega of diameter 0.2 mm is connected to ...

    Text Solution

    |

  15. A conductor of resistance R and conductance G is stretched to twice it...

    Text Solution

    |

  16. At room temperature (27.0^@C) the resistance of a heating element is 1...

    Text Solution

    |

  17. A discharge tube is connected to a power supply of 200 V . Calculate t...

    Text Solution

    |

  18. Find the current flowing through a copper wire of length 15 cm ,with a...

    Text Solution

    |

  19. Electron density in a conductor of area of cross section 0.006 cm^2 is...

    Text Solution

    |

  20. Estimate the average drift speed of conduction electrons in a copper w...

    Text Solution

    |