Q.

A charge +q is placed at the origin O, work done to take a charge Q from the point (a,0) to (0,b) is 

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a

qQ4πεobaab

b

qQ4πεoab21b

c

qQ4πε0ba21b

d

qQ4πεoabab

answer is A.

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Detailed Solution

Potential at point A is VA=14πε0qa
Potential at point B is VB=14πεoqb
Work done in taking a charge Q from A to B is
W=QVBVA=Qq4πε01b1a=Qq4πε0abab

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