Three equal charges ' q₁ ', ' q₂ ' and ' q₃ ' are placed on the three corners of a square of side 'a'. If the force between q₁ and q₂ is ' F₁₂ ' and that between q₁ and q₃ is ' F₁₃ ', then the ratio of magnitudes (F₁₂F₁₃) is (a) 1/2 (b) √(2) (c) 1/√(2) (d) 2

Answer: (d). q1q2q3a√2 a q₁, q₂ are adjacent (distance a); q₁, q₃ are diagonal (distance √2 a). F ∝ 1/r² ⇒ F₁₂F₁₃ = ((√2 a)²)/(a²) = 2 So the answer is (d) 2.

Three equal charges ' q₁ ', ' q₂ ' and ' q₃ ' are placed on the three… | MHT CET 2022 (11 Aug, Shift 2)

Q45MHT CET 2022 · 11 AUG · SHIFT 2Easy

Electric Charge & Coulomb's Law

Three equal charges ' $q_1$ ', ' $q_2$ ' and ' $q_3$ ' are placed on the three corners of a square of side 'a'. If the 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 magnitudes $\left(\frac{F_{12}}{F_{13}}\right)$ is

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Answer: (d)

$q_1, q_2$ are adjacent (distance $a$ ); $q_1, q_3$ are diagonal (distance $\sqrt2 a$ ).
$F \propto \dfrac{1}{r^2} \Rightarrow \dfrac{F_{12}}{F_{13}} = \dfrac{(\sqrt2 a)^2}{a^2} = 2$
So the answer is (d) $2$ .

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Electric Charge & Coulomb's Law question from MHT CET 2022 (11 Aug, Shift 2)

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