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Given are four arrangements of three fix...

Given are four arrangements of three fixed electric charges. In each arrangement, a point labeled P is also identified. A test charge `+q` is placed at P. All of the charges are of the same magnitude Q, but they can be either positive or negative as indicated. The charged and point P all lie on a straight line. the distances between adjacent items, either between two charges or between a charge and point P, are all the same.
I. `o+,o+,o+,underset (P)(*)`, II. `o+,o+,overset(P)(*),-`
III. `o+,o+,-, overset(P)(*)`, IV. `o+, - , o+, overset(P)(*)`.
Correct order of choices in a decreasing order of magnitude of force on P is

A

`IIgtIgtIIIgtIV`

B

`IgtIIgtIIIgtIV`

C

`IIgtIgtIVgtIII`

D

`IIIgtIVgtIgtII`

Text Solution

Verified by Experts

The correct Answer is:
C
In (I) and (II), forces on `P` due to all three charges are in same directions, but in case (II) distances are minimum. Hence forces `(IIgtI)`. In case (III) force on `P` will be toward left and in (IV, force will be toward right. But on calculation forces `(IVgtIII)`.
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