The electric current through a wire varies with time as $I=I_0+\beta t$. where $I_0=20 \mathrm{~A}$ and $\beta=3 \mathrm{~A} / \mathrm{s}$. The amount of electric charge crossed through a section of the wire in $20 \mathrm{~s}$ is :
  • A $80\  \mathrm{C}$
  • B$1000  \ \mathrm{C}$
  • C$800 \ \mathrm{C}$
  • D $1600 \ \mathrm{C}$
JEE MAIN 2024, Diffcult
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