A current of $10\, A$ exists in a wire of crosssectional area of $5\, mm ^{2}$ with a drift velocity of $2 \times 10^{-3}\, ms ^{-1}$. The number of free electrons in each cubic meter of the wire is ..........
A$2 \times 10^{6}$
B$625 \times 10^{25}$
C$2 \times 10^{25}$
D$1 \times 10^{23}$
JEE MAIN 2021, Medium
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B$625 \times 10^{25}$
b $i =10 A , A =5 mm ^{2}=5 \times 10^{-6} m ^{2}$
$\Rightarrow n =0.625 \times 10^{28}=625 \times 10^{25}$
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