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Answer:
Electric potential at the centre = 3σ/ε₀
Explanation:
Charge on inner sphere q₁ = 4π(1)² σ = 4πσ
Charge on outer sphere q₂ = 4π x4 x σ = 16πσ
Potential at centre due to charge on inner sphere V ₁= k x q₁/r₁
= k 4πσ/1
= k x 4πσ
Potential at centre due to charge on outer sphere V₂ = k x q₂/r₂
= k x 16πσ/2
= k x 8πσ
Net Electric potential at the centre = V₁ + V₂
= k(12πσ)
= (1/4πε₀) x 12πσ
= 3σ/ε₀