The question asks to find the amount of electric charge (\(Q\)) that flows through an electric bulb filament when a specific current (\(I\)) flows for a given time (\(t\)).
The relationship between electric charge (\(Q\)), current (\(I\)), and time (\(t\)) is given by the formula:
\(Q = I \times t\)
Given values:
First, convert the time from minutes to seconds, as the standard unit for time in physics calculations is seconds:
\(t = 2 \text{ min} \times 60 \frac{\text{s}}{\text{min}} = 120 \text{ s}\)
Now, substitute the values of current and time (in seconds) into the formula:
\(Q = (2 \text{ A}) \times (120 \text{ s})\)
\(Q = 240 \text{ C}\)
Therefore, the amount of electric charge that flows through the circuit is $240$ Coulombs (C).
The calculated charge is \(240 \text{ C}\), which matches one of the options provided.
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