A charged particle having drift velocity of 7 . 5 × 10 - 4 ms - 1 in an electric field of 3 × 10 - 10 V/m , has a mobility in m 2 V - 1 s - 1 of [2020]

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Solution

Q.
A charged particle having drift velocity of $7.5 \times 10^{- 4}$ ${ms}^{- 1}$ in an electric field of $3 \times 10^{- 10}$ ${Vm}^{- 1}$ , has a mobility in $m^{2} V^{- 1} s^{- 1}$ of [2020]

1 $2.25 \times 10^{15}$

2 $2.5 \times 10^{6}$

3 $2.5 \times 10^{- 6}$

4 $2.25 \times 10^{- 15}$

Ans.
(2)

Here, $v_{d} = 7.5 \times 10^{- 4}$ $m/s, E = 3 \times 10^{- 10}$ $V/m$

$Mobility, μ = \frac{v_{d}}{E} = \frac{7.5 \times 10^{- 4}}{3 \times 10^{- 10}}; μ = 2.5 \times 10^{6}$ $m^{2} V^{- 1} s^{- 1}$

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