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Current Electricity question

2023 · 30 Jan · Shift 1 · Q47
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Current Electricity question

2023 · 30 Jan · Shift 1 · Q47

JEE MainPhysicsCurrent ElectricityMCQ+4 / −1
The 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 :
  1. A
    β−α23γ\beta-\frac{\alpha^{2}}{3 \gamma}β−3γα2​
  2. B
    α−3β2γ\alpha-\frac{3 \beta^{2}}{\gamma}α−γ3β2​
  3. C
    α−β23γ\alpha-\frac{\beta^{2}}{3 \gamma}α−3γβ2​
  4. D
    α−γ23β\alpha-\frac{\gamma^{2}}{3 \beta}α−3βγ2​
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