The electrostatic potential in a charged spherical region of radi… | JEE Main 2026 Physics PYQ

MCQMediumJEE Main 2026 · 24 January, Shift 1Electric Potential & Potential Energy

The electrostatic potential in a charged spherical region of radius $r$ varies as $V = ar^{3} + b$ , where $a$ and $b$ are constants. The total charge in the sphere of unit radius is $\alpha \times \pi a \varepsilon_{0}$ . The value of $\alpha$ is _____

(Permittivity of vacuum is $\varepsilon_{0}$ )

A
$-8$
B
$-12$
C
$-9$
D
$-6$

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