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Question

# Three point charges q1,q2 and q3 are taken such that when q1 and q2 are placed close together to form a single point charge, the force on q3 at distance L from this combination is a repulsion of 2 unit magnitude. When q2 and q3 are combined, the force on q1, from same distance L is of magnitude 4 unit and is attractive. Also q3 and q1 combining exert 6 a force of magnitude 18 unit attractive on q2 from same distance L, Algebraic ratio of charges q1,q2 and q3 is:

A
1:2:3
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B
2:3:4
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C
4:3:1
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D
4:3:2
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Solution

## The correct option is A 1:2:3q3(q1+q2)L2=2q1(q2+q3)L=−4q2(q1+q3)L2=18K1(K1+1)K1(1+K2)=19K1+K2K2(K1+1)=−2K2=(K18K1+9)=2q1:q2:q3=1:−65:2

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