Three equal charges are placed on the three corners of a square as shown below. If the magnitude of force between ' q₁ ' and ' q₂ ' is ' F₁₂ ' and that between ' q₁ ' and ' q₃ ' is F₁₃, then the ratio of F₁₃ to F₁₂ is (a) 1/√(2) (b) √(2) (c) 1/2 (d) 2

Answer: (c). From the figure, q₁q₂ is a side ( a) and q₁q₃ is the diagonal ( √2 a). F₁₂ = (kq²)/(a²), F₁₃ = (kq²)/(2a²) F₁₃F₁₂ = 1/2 So the answer is (c) 12.

Three equal charges are placed on the three corners of a square as… | MHT CET 2025 (23 Apr, Shift 1)

Q19MHT CET 2025 · 23 APR · SHIFT 1Easy

Electric Charge & Coulomb's Law

Three equal charges are placed on the three corners of a square as shown below. If the magnitude of force between ' $q_1$ ' and ' $q_2$ ' is ' $F_{12}$ ' and that between ' $q_1$ ' and ' $q_3$ ' is $F_{13}$ , then the ratio of $F_{13}$ to $F_{12}$ is

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Answer: (c)

From the figure, $q_1q_2$ is a side ( $a$ ) and $q_1q_3$ is the diagonal ( $\sqrt2 a$ ).
$F_{12} = \dfrac{kq^2}{a^2}$ , $F_{13} = \dfrac{kq^2}{2a^2}$
$\dfrac{F_{13}}{F_{12}} = \dfrac{1}{2}$
So the answer is (c) $\dfrac12$ .

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