A) \[10\text{ }C\]
B) \[20\text{ }C\]
C) \[30\text{ }C\]
D) \[40\text{ }C\]
Correct Answer: C
Solution :
Charge (q) is given by \[q=\int{Idt}\] Given, \[I=1.2t+3\] Integrating the expression using \[\int{{{x}^{n}}dx}\,=\frac{{{x}^{n+1}}}{n+1},\] we have \[q=\int{Idt}=1.2\int{t\,\,dt\,\,+3\int{dt}}\] \[q=1.2\left[ \frac{{{t}^{2}}}{2} \right]_{0}^{5}+3[t]_{0}^{5}\] \[q=\frac{1.2}{2}\times 25+3\times 5\] \[q=15+15=30C\]
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