The charge flowing through a resistance \( R \) varies with time \( t \) as \( Q=a t-b t^{2} \)....

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The charge flowing through a resistance \( R \) varies with time \( t \) as \( Q=a t-b t^{2} \). The total heat produced in \( R \) from \( t=0 \) to the time when value of \( Q \) becomes again zero is
\( 10 \Omega \)
(a) \( \frac{a^{3} R}{6 b} \)
(b) \( \frac{a^{3} R}{3 b} \)
(c) \( \frac{a^{3} R}{2 b} \)
(d) \( \frac{a^{3} R}{b} \)
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