The force between two small charged spheres having charges of 0.2 μC and 0.6 μC placed 0.6 m apart in the air will be |
0.018 N 0.18 N 0.03 N 0.003 N |
0.003 N |
The correct answer is Option (4) → 0.003 N Given: $q_1 = 0.2\ \mu C = 0.2 \times 10^{-6}\ C$ $q_2 = 0.6\ \mu C = 0.6 \times 10^{-6}\ C$ $r = 0.6\ m$ Coulomb's law: $F = \frac{1}{4 \pi \epsilon_0} \frac{q_1 q_2}{r^2}$ $F = 9 \times 10^9 \cdot \frac{(0.2 \times 10^{-6}) (0.6 \times 10^{-6})}{(0.6)^2}$ $F = 9 \times 10^9 \cdot \frac{0.12 \times 10^{-12}}{0.36}$ $F = 9 \times 10^9 \cdot 0.333 \times 10^{-12}$ $F \approx 3 \times 10^{-3}\ N$ |