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Q.

The electric potential at a point certain distance from a point charge is 600 V and the electric field is 200 NC-1. Which of the following statements will be true? 

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a

The magnitude of the charge is 20×103C

b

The distance of the given point from the charge is 3 m.

c

The potential at a distance of 9 m will be 200 V.

d

The work done by an external agent in moving a point charge of 1 mC from the given point to a point at a distance of 9 m will be 4×104J.

answer is B, C.

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Detailed Solution

V=14πε0qx=600      .......(i)E=14πε0qx2=200     ........(ii)

From Eq. (i) and Eq. (ii), x = 3 m 

From Eq.(i), q=600×39×109=2×107C

V=14πε0qx=9×109×2×1079=200V

       W=qVV=106(200600)=4×104J

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