The electrostatic potential in a charged spherical region of radius r varies as V = ar³ + b, where a and b are constants. The total charge in the sphere of unit radius is α × π aε₀. The value of α is _ _ _. (permittivity of vacuum is ε₀)

Electrostatics: JEE Main 2026 Physics question

JEE Main 2026 · 24 Jan, Morning shift · Q39

JEE Main 202624 Jan, Morning shiftPhysicsMediumElectrostatics167× since 2002

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\epsilon_0

. The value of

\alpha

is ______. (permittivity of vacuum is

\epsilon_0

)

JEE Main 2026 Electrostatics Question with Solution (24 Jan Morning shift, Q39) | JEE Arc