How many electrons flow through the wire if a current of 1.5 ampere flow through it for 3 hours?

How many electrons flow through the wire if a current of 1.5 ampere flow through it for 3 hours?
  1. $1.60 \times 10^{19}$
  2. $ 1.01 \times 10^{23}$
  3. $10.1 \times 10^{19}$
  4. $1.60 \times 10^{23}$

Solution

$\begin{aligned} & \mathrm{Q}=\mathrm{ne}=\mathrm{It} \\ & \mathrm{n} \times 1.6 \times 10^{-19}=1.5 \times 3 \times 60 \times 60 \\ & \mathrm{n}=\text { no. of electrons } \\ & \mathrm{e}=\text { charge of one electron } \\ & \mathrm{n}=\frac{1.5 \times 3 \times 60 \times 60}{1.6 \times 10^{-19}}=1.01 \times 10^{23}\end{aligned}$

Asked in: MHT CET 2021 (23 Sep Shift 2)

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