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Two charged particles each having a char...

Two charged particles each having a charge +q and mass m are kept at a distance d. if they are in equilibrium under the gravitational force and the electric force between them, then the ratio `q/m` or specific charge of each particle is

A

`sqrt((4piepsi_(0))/(G))`

B

`sqrt(4piepsi_(0)G)`

C

`4piepsi_(0)G`

D

`(G)/(4piepsi_(0))`

Text Solution

Verified by Experts

The correct Answer is:
B
`F_(E)=F_(G) therefore(1)/(4piepsi_(0))(q^(2))/(d^(2))=(Gm^(2))/(d^(2))therefore ((q)/(m))=sqrt(4piepsi_(0)G)`
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Knowledge Check

  • Two particles , each of mass m and carrying charge Q , are separated by some distance. If they are in equilibrium under mutual gravitational and electrostatic force then Q//m (in C//kg) is of the order of

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    all the charges cannot have the same sign
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