Q.

Two identical charges each having a charge +Q are fixed at a separation 2 a. A small particle P having a charge of magnitude q is placed midway between them. Now, P is given a displacement Δ(a), such that it undergoes simple harmonic motion. For this, We have the following (q,Δ) combinations.

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a

negative, perpendicular to the line joining the two identical charges 

b

positive, along the line joining the two identical charges.

c

positive, perpendicular to the line joining the two identical charges.

d

None of these

answer is A, C.

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Detailed Solution

q is+ve then there will be net repulsive force which will send the charge particle back to its original position so it will be an S.H.M.

q is-ve then there will be net attractive force which will send the charge particle back to its original position so it will be an S.H.M.

The correct answer is 1,3

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Two identical charges each having a charge +Q are fixed at a separation 2 a. A small particle P having a charge of magnitude q is placed midway between them. Now, P is given a displacement Δ(≪a), such that it undergoes simple harmonic motion. For this, We have the following (q,Δ) combinations.