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MHT CET20244 May 2024Morning ShiftPhysicsElectrostaticsActual

A metallic sphere ' A ' isolated from ground is charged to +50 C . This sphere is brought in contact with other isolated metallic sphere ' B ' of half the radius of sphere ' A '. Then the charge on the two isolated spheres A & ~B are in the ratio

Options

  1. A1: 2
  2. B2: 1
  3. C4: 1
  4. D1: 1

Correct answer

B. 2: 1

Step-by-step solution

Charge will flow from sphere A to B till the potential becomes same aligned & V _ A = V _ B . & 1 4 ₀ q _ A r _ A = 1 4 ₀ q _ B r _ B & q_A q_B = r_A r_B & q_A q_B = 2 r_B r_B & . ( r_B= r_A 2 ) & q_A q_B = 2 1 aligned

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