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← JEE Advanced 2021 · Paper 1
PhysicsNumerical+2Question 10 of 57

JEE Advanced 2021 · Paper 1, Physics question 10

Passage

Question Stem for Question Nos. 9 and 10

Two point charges −Q-Q and +Q/3+Q/\sqrt3 are placed in the xyxy-plane at the origin (0,0)(0, 0) and a point (2,0)(2, 0), respectively, as shown in the figure. This results in an equipotential circle of radius RR and potential V=0V = 0 in the xyxy-plane with its center at (b,0)(b, 0). All lengths are measured in meters.

xy axes with charge −Q at the origin and charge +Q/√3 at (2, 0) on the x-axis. A dashed circle (the V = 0 equipotential) surrounds the +Q/√3 charge, centred on the x-axis slightly to the right of it.

The value of bb is ____ meter.

Answer and worked solution

Official answer: 2.9

The zero-potential circle is (x−3)2+y2=3(x-3)^2+y^2=3 (see the previous part). Its centre is at (3,0)(3,0), so b=3b=3 m.