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Question

Two masses M1 and M2, which have a charge Q1 and Q2, respectively are placed at a distance r initially.
If there is no other force acting on the charged particles and they remain at a distance r apart indefinitely, identify which of the following must be true?
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A
Both charges are positive
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B
Q1 is positive and Q2 is negative
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C
Q1 is negative and Q2 is positive
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D
Q1=Q2
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E
M1=M2
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Solution

The correct option is A Both charges are positive
The gravitational force between the two masses is given as GM1M2r2
and the electric force between them is given as 14πϵ0Q1Q2r2.
For the masses to remain stationary under these two forces, the net force on each must be zero.
Thus GM1M2r2+14πϵ0Q1Q2r2=0
Q1Q2>0
Thus they must have same sign.
Hence correct answer is option A.

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