1. If q, + 92 = 9, then the force between q, and q, is maximum when q/q, is (1) O ( (2) 2 (4) 3 (3) 1 dinofc ?
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Answer:
F=
r
2
Kq
1
q
2
⟹F=
r
2
Kq
1
(q−q
1
)
Differentiating both sides with respect to q
1
−
r
2
K
(q−2q
1
)=
dq
1
dF
For, force to be maximum,
dq
1
dF
=0
⟹q−2q
1
=0
⟹q
1
=
2
q
q
2
=q−q
1
=
2
q
Hence,
q
2
q
1
=1
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