Electric Charges And Fields Ques 14

14. The mean free path of electrons in a metal is $4 \times 10^{-8} m$. The electric field which can give on an average $2 eV$ energy to an electron in the metal will be in units of $V / m$

(a) $5 \times 10^{-11}$

(b) $8 \times 10^{-11}$

(c) $5 \times 10^{7}$

(d) $8 \times 10^{7}$

[2009]

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Answer:

Correct Answer: 14.(c)

Solution:

  1. (c) Energy $=2 eV$

$\Rightarrow eV_o=2 eV \Rightarrow V_o=2$ volt

$ \begin{aligned} E & =\frac{V_O}{d}=\frac{2}{4 \times 10^{-8}} \\ & =0.5 \times 10^{8}=5 \times 10^{7} Vm^{-1} \end{aligned} $