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NEET PHYSICSEasy

The force between two small charged spheres having charges of 2×1072 \times 10^{-7} C and 3×1073 \times 10^{-7} C placed 30 cm apart in the air is:

A

6×1036 \times 10^{-3} N

B

5×1035 \times 10^{-3} N

C

4×1044 \times 10^{-4} N

D

5×1045 \times 10^{-4} N

Step-by-Step Solution

The force between two point charges in air is given by Coulomb's Law: F=14πε0q1q2r2F = \frac{1}{4\pi\varepsilon_0} \frac{q_1 q_2}{r^2}. Given: k=14πε0=9×109k = \frac{1}{4\pi\varepsilon_0} = 9 \times 10^9 N m2^2 C2^{-2} q1=2×107q_1 = 2 \times 10^{-7} C q2=3×107q_2 = 3 \times 10^{-7} C r=30r = 30 cm = 0.30.3 m

Substituting these values: F=(9×109)×(2×107)×(3×107)(0.3)2F = \frac{(9 \times 10^9) \times (2 \times 10^{-7}) \times (3 \times 10^{-7})}{(0.3)^2} F=54×1050.09=54×1059×102F = \frac{54 \times 10^{-5}}{0.09} = \frac{54 \times 10^{-5}}{9 \times 10^{-2}} F=6×103F = 6 \times 10^{-3} N

(Note: This matches NCERT Physics Class 12, Chapter 1, Exercise 1.1).

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