Two small balls are carrying masses and charges m₁, q₁ and $m_2$ , q₂ respectively. The entire system is placed in uniform electric field 𝐄 directed upward. If (m₁ + $m_2$ ) g = (q₁ + q₂)E, then the acceleration of centre of mass. (Neglect the interaction between balls).
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Question

Two small balls are carrying masses and charges m₁, q₁ and $m_2$ , q₂ respectively. The entire system is placed in uniform electric field 𝐄 directed upward. If (m₁ + $m_2$ ) g = (q₁ + q₂)E, then the acceleration of centre of mass. (Neglect the interaction between balls).

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G1 Physics · Accepted Answer

Step 1: Use superposition, 𝐄 = Σ[1/(4πε₀)] qᵢ 𝐫ᵢ/rᵢ³, or the appropriate continuous-distribution integral. Step 2: Resolve components and exploit symmetry to cancel components. Step 3: Add the surviving components and compare with the choices. Final: B: is not necessarily zero.