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Question: Answered & Verified by Expert
A 10 μC  charge is divided into two parts and placed at 1 cm distance so that the repulsive force between them is maximum. The charges of the two parts are:
PhysicsElectrostaticsJEE MainJEE Main 2023 (13 Apr Shift 2)
Options:
  • A 7μC,3μC
  • B 8μC,2μC
  • C 5μC,5μC
  • D 9μC,1μC
Solution:
1296 Upvotes Verified Answer
The correct answer is: 5μC,5μC

Let the charges be x μC, q-x μC, where q=10 μC

The force between them is 

F=Kx(q-x)r2.

For the force to be maximum,

dFdx=0dFdx=K(q-2x)r2=0x=q2=5 μC

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