Two particles of equal mass m and charge q are placed at a distance of 16cm they do not experience any force the value of q by m
Answers
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Answer:
Explanation:
Step 1: Electrostatic force between particles
Applying Coulomb's law,
F
e
=
4πϵ
0
1
r
2
q
1
q
2
=
4πϵ
0
1
(0.16 m)
2
q
2
....(1)
Step 2: Gravitational force between particles
Applying Newton's law of universal gravitation,
F
G
=G
r
2
m
1
m
2
=G
(0.16)
2
m
2
....(2)
Step 3: Net force experienced
Since net force experienced by the particle is zero, therefore electrostatic force and gravitational force would be equal.
∴F
e
=F
G
From (1) and (2)
4πϵ
0
1
(0.16)
2
q
2
=G
(0.16)
2
m
2
⇒
m
q
=
4πϵ
0
G