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Question

Charges Q1 and Q2 are at points A and B of a right angle triangle OAB see figure. The resultant electric feild at point O is perpendicular to the hypotenuse, then Q1/Q2 is proportional to :

A
x31x32
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B
x2x1
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C
x1x2
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D
x22x21
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Solution

The correct option is C x1x2
Electric field due to charge Q2= E2=kQ2x22
Electric field due to charge Q1= E1=kQ1x21From figure,
tan θ=E2E1=x1x2kQ2x22×kQ1x21=x1x2
Q2x21Q1x22=x1x2Q2Q1=x2x1or,Q1Q2=x1x2

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