Two neutral insulating small spheres are rubbed against each other and are then kept 4 m apart. If they attract
each other with a force of 3.6 N, then
ar calculate the charge on each sphere, and
a calculate the number of electrons transferred from one sphere to the other during rubbing.
Answers
Given : Two neutral insulating small spheres are rubbed against each other and are then kept 4m apart.
To find : 1. The charge on each sphere if they attract each other with a force of 3.6 N.
2. The number of electrons transferred from one sphere to the other during rubbing.
solution : Let the charge on each sphere will be Q after rubbing.
From coulomb's law, F = kQ²/r²
here F = 3.6 N and r = 4m
⇒3.6 = (9 × 10^9 × Q²)/(4)²
⇒3.6 × 16 = 9 × 10^9 × Q²
⇒Q² = 3.6 × 16/(9 × 10^9)
⇒Q² = 64 × 10^-10
⇒Q = 8 × 10^-5 C
Therefore the charge on each sphere is 8 × 10^-5 C
the number of electrons transferred from one sphere to the other during rubbing, n = Q/e¯
= (8 × 10^-5)/(1.6 × 10^-19)
= 5 × 10¹⁴
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Answer:
the charge on each sphere is 8×10^5C