The electric potential at a point (x,y) in the xy− plane is given by V=−K xy The electric filed intensity at a distance r from the origin varies as
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a
r2
b
r
c
2 r
d
2 r2
answer is B.
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Detailed Solution
Co-ordinates of the point are (x,y) ∴ Distance of point from origin,r=x2+y2V=−K xyEx=−∂V∂x=−∂∂x(− Kxy)=KyEy=−∂V∂y=-∂∂y(− Kxy)=Kx∴ E=Ex2+Ey2=K y2+x2=Kr∴ E α r