The drift velocity of electrons in a conducting wire is of the order of $1 \, mm/s$. However,when the switch is turned on,the bulb glows almost instantaneously. This is because:

  • A
    The random speed of electrons is very high,of the order of $10^6 \, m/s$.
  • B
    Electrons transfer their energy rapidly during collisions.
  • C
    The electric field is established in the wire very rapidly,and the current produced through every cross-section is almost instantaneous.
  • D
    All of the above.

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$A$ silicon block at $300\,K$ has a length of $10\,cm$ and a cross-sectional area of $1 \times 10^{-4}\,m^2$. If a $2\,V$ battery is connected across its ends parallel to the length,find the current flowing through it. The electron mobility is $0.14\,m^2V^{-1}s^{-1}$ and the electron number density is $1.5 \times 10^{16}\,m^{-3}$.

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