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Q.

A positive point charge 50 μC is located in the plane x-y at the point with radius vector r→0=2i^+3j^ where i^ and j^ are the unit vectors of the x and y axes. The magnitude of electrostatic force F→ on a charge of 2 μC placed at the point with radius vector r→=8i^-5j^ is (Here r→0 and r→ are expressed in meter)

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a

3N

b

9 mN

c

9 μN

d

3 mN

answer is B.

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Detailed Solution

F→=F→21=q1q24πε0r→−r→03r→−r→0where r→−r→0=6i^−8j^⇒r→−r→0=10 mSo, F→=50×10−6×2×10−6×9×109(10)3(6i^−8j^)⇒ F→=9×10−4(6i^−8j^ ) N⇒ |F→|=9×10−462+(−8)2⇒ |F→|=9×10−3N=9 mN
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