Two identical charges repel each other with a force equal to 10 mgwt they are 0.6 m

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Two identical charges repel each other with a force equal to 10 mgwt they are 0.6 m apart in air. (g=10 ms⁻²). The value of each charge is

Options

(a) 2 mC
(b) 2×10⁻⁷ mC
(c) 2 nC
(d) 2 μC

Correct Answer:

2 μC

Explanation:

F = (1 / 4πε₀) (q₁q₂ / d²)
Therefore, (10 × 10⁻³) × 10 = [(9 × 10⁹) × q²] / (0.06)²
or, q² = (10⁻¹ × 0.36) / (9 × 10⁹) = 4 / 10¹² = 4 × 10⁻¹²
or, q = 2 × 10⁻⁶ C = 2 μC

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Topics: Electrostatics (146)
Subject: Physics (2479)

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