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A metal cube of side 5 cm is charged with 6 μC. The surface charge density on the cube is

Asked in Re-NEET 2024 · Conductors and electrostatic shielding

• (1) 0.125×10⁻³ C m⁻²
• (2) 0.25×10⁻³ C m⁻²
• (3) 4×10⁻³ C m⁻²
• (4) 0.4×10⁻³ C m⁻²

Step-by-step solution

Why the other options are wrong

• (1) No single slip gives 0.125×10⁻³; it would need a surface of 480 cm², while six faces of 25 cm² make 150 cm².
• (2) No single slip gives 0.25×10⁻³; it would need a surface of 240 cm², while the cube has 150 cm².
• (3) Divides by one face (25 cm²) and loses a factor of 10 as well; the charge spreads over all six faces.

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