JEE Main 202330 Jan, Morning shiftPhysicsMediumCurrent Electricity150× since 2002The charge flowing in a conductor changes with time as Q(t)=αt−βt2+γt3\mathrm{Q}(\mathrm{t})=\alpha \mathrm{t}-\beta \mathrm{t}^{2}+\gamma \mathrm{t}^{3}Q(t)=αt−βt2+γt3. Where α,β\alpha, \betaα,β and γ\gammaγ are constants. Minimum value of current is :AOption A. β−α23γ\beta-\frac{\alpha^{2}}{3 \gamma}β−3γα2BOption B. α−3β2γ\alpha-\frac{3 \beta^{2}}{\gamma}α−γ3β2COption C. α−β23γ\alpha-\frac{\beta^{2}}{3 \gamma}α−3γβ2DOption D. α−γ23β\alpha-\frac{\gamma^{2}}{3 \beta}α−3βγ2CheckSkip · show solution
