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Q.

Two charged particles (M,+Q) and (m,-q) are placed in a gravity free space where a uniform electric field E exists. After the particles are released, they stay at a constant distance from each other. What is this distance? Neglect Gravitational interaction. k is electrostatic constant.

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a

kqQE(q+Q)

b

(M+m)kQqE(qm+QM)

c

(M+m)kQqE(qM+Qm)

d

not possible

answer is C.

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Detailed Solution

On releasing the particles, if their acceleration is same, they will stay at a constant distance. QE−F=Ma,F−qE=ma where, F=kqQL2 From above: QE−FF−qE=Mm⇒ KqQL2=(mQ+qM)Em+M⇒L=(M+m)kqQE(qM+mQ)
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