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MHT CET 2024 (10 May, Shift 2) · Electric Charge & Coulomb's Law

Electric Charge & Coulomb's Law question from MHT CET 2024 (10 May, Shift 2)

Q30MHT CET 2024 · 10 MAY · SHIFT 2Medium

Electric Charge & Coulomb's Law

Two point charges (A(A and B)+4qB) + 4q and −4q-4q are placed along a line separated by a distance I '. Force acting between them is F. If 25%25\% of charge from point AA is transferred to that at point B, the force between the charges now becomes

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Answer: (c)

  1. F=k(4q)(4q)l2=16kq2l2F = \dfrac{k(4q)(4q)}{l^2} = \dfrac{16kq^2}{l^2}
  2. 25% of 4q4q is qq. After transfer: A=+3qA = +3q, B=−4q+q=−3qB = -4q + q = -3q.
  3. F′=9kq2l2=916FF' = \dfrac{9kq^2}{l^2} = \dfrac{9}{16}F
  4. So the answer is (c) 916F\dfrac{9}{16}F.
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