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A particle of mass m(2) carrying a charg...

A particle of mass `m_(2)` carrying a charge `Q_(2)` is fixed on the surface of the earth .Another particle of mass `m_(1)` and charge `Q_(1)` is positioned right above the first one at an altitude `h( ltlt R)`.R is radius of earth ,the charge `Q_(1)` and `Q_(2)` are of same sign ,then
At what altitude of `h_(3)` will object `m_(1)` be in equilibrium and what will be the nature of objects in motion if it is disturbed slightly from equilibrium

A

`h_(3)=sqrt((Q_(1)Q_(2))/(4piepsilon_(0)m_(1)g))` periodic non oscillatory

B

`h_(3)=sqrt((Q_(1)Q_(2))/(2piepsilon_(0)m_(1)g))`,periodic and oscillatory.

C

`h_(3)=sqrt((Q_(1)Q_(2))/(4piepsilon_(0)m_(1)g))`,periodic and oscillatory.

D

`h_(3)=sqrt((Q_(1)Q_(2))/(4piepsilon_(0)m_(1)g))` non -periodic and non.

Text Solution

Verified by Experts

The correct Answer is:
C
`(1)/(4piepsilon_(0))(q_(1)q_(2))/(h_(3)^(2))=mg h_(3)=sqrt(q_(1)q_(2))/(4piepsilon_(0)mg)`
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