A metal cube of side 5 cm is charged with 6. The surface charge density on the cube is (a) 0.125 × 10⁻³ C m⁻² (b) 0.25 × 10⁻³ C m⁻² (c) 4 × 10⁻³ C m⁻² (d) 0.4 × 10⁻³ C m⁻²

Answer: (d). Charge spreads over the outer surface: area = 6a² = 6×(0.05)² = 0.015 m². σ = q/A = 6×10⁻⁶0.015 = 4×10⁻⁴ C m⁻² So the answer is (d) 0.4×10⁻³ C m⁻².

A metal cube of side 5 cm is charged with 6. The surface charge… | NEET 2024

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Electric Charge & Coulomb's Law

A metal cube of side $5\text{ cm}$ is charged with $6\ \mu\text{C}$ . The surface charge density on the cube is

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Answer: (d)

Charge spreads over the outer surface: area $= 6a^2 = 6\times(0.05)^2 = 0.015\ \text{m}^2$ .
$\sigma = \dfrac{q}{A} = \dfrac{6\times10^{-6}}{0.015} = 4\times10^{-4}\ \text{C m}^{-2}$
So the answer is (d) $0.4\times10^{-3}\ \text{C m}^{-2}$ .

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