Question

# A current of $1A$is drawn by a filament of an electric bulb. The number of electrons passing through a cross-section of the filament in $16seconds$ would be roughly?

A

${10}^{20}$

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B

${10}^{16}$

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C

${10}^{23}$

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D

${10}^{18}$

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Solution

## The correct option is A ${10}^{20}$Explanation for the correct option A: ${10}^{20}$Step 1: Given dataElectric current flowing through the filament, $i=1A$Number of electrons passing through the filament, $n=?$Time duration in which the electrons flow through the filament, $t=16s$Step 2: Formula used$i=\frac{n×e}{t}$$n=\frac{i×t}{e}$ …………………….(a)Where, ($e$) is the charge on the electron.$e=1.6×{10}^{-19}C$Step 3: Calculation of the number of electrons flowing through the filamentSubstituting the given values in equation (a), we get$n=\frac{1A×16s}{1.6×{10}^{-19}C}\phantom{\rule{0ex}{0ex}}n=\frac{1×16}{16×{10}^{-20}}\phantom{\rule{0ex}{0ex}}n={10}^{20}$Hence, option (A) is correct.

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