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The mean free path of conduction electro...

The mean free path of conduction electrons in copper is about `4.0xx10^(-8) m`. The electric field which can give on the average `2.4 eV` energy to conduction electron in copper block is `axx10^(7) V m^(-1)`. What is the integer value of a?

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To solve the problem, we need to find the integer value of \( a \) in the expression for the electric field \( E = a \times 10^7 \, \text{V/m} \) that gives an average energy of \( 2.4 \, \text{eV} \) to conduction electrons in copper, with a mean free path of \( 4.0 \times 10^{-8} \, \text{m} \). ### Step-by-Step Solution: 1. **Convert Energy from eV to Joules**: The energy given is \( 2.4 \, \text{eV} \). We need to convert this to joules using the conversion factor \( 1 \, \text{eV} = 1.6 \times 10^{-19} \, \text{J} \). \[ \text{Energy in Joules} = 2.4 \, \text{eV} \times 1.6 \times 10^{-19} \, \text{J/eV} = 3.84 \times 10^{-19} \, \text{J} ...
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The mean free path of conduction electrons in copper is about 4 xx 10^(-8)m . Find the electric field which can give, on an avrage, 2 eV energy to a conduction electron in a block of copper.

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Knowledge Check

  • The mean free path of conduction in copper is about 4 times 10^-8m Find the electric field which can give. On an average, 2ev energy to a conduction electron in a block of copper.

    A
    `5 times 10^8 V//m`
    B
    `5 times 10^-8 V//m`
    C
    `5 times 10^-7 V//m`
    D
    `5 times 10^T V//m`
  • The mean free path of electrons in a metal is 4 xx 10^(-8)m The electric field which can give on an average 2eV energy to an electron in the metal will be in the units V//m

    A
    `5 xx 10^(-11)`
    B
    `8 xx 10^(-11)`
    C
    `5 xx 10^(7)`
    D
    `8 xx 10^(7)`
  • The mean free path of a conduction electron in a metal is 5 xx 10^(-8) m . The electric field, required to be applied across the conductor so as to impart 1eV energy to the conduction electron , will be

    A
    `1 xx 10^(-7) V//m`
    B
    `2 xx 10^(7) V//m`
    C
    `3 xx 10^(7) V//m`
    D
    `4 xx 10^(7) V//m`
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