Discussion :: Exam Questions Paper
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Find the electric charge required on the earth and moon to balance their gravitational attraction if the charge on the earth is 10 times that on the moon.
Answer : Option C
Explanation :
Using law of gravitations, the force between the two point masses is F =
M1 = mass of moon = 6.7 x 1022 Kg
M2 = mass of earth = 6 x 1024 Kg
r = distance between masses = 380 mm
G = universal gravitational constant = 6.7 x 10-11 Nm2/Kg2
Let Q1 and Q2 be the charge on moon and earth respectively. Now the gravitational force must be balanced by the force of repulsion
Q1Q2 = 4pε0M1M2G
but Q2 = 10Q1
= 10 x 4pω0M1M2G
∴ Q2 = 173 x 1012
Q1 = 17.3 x 1012 C
Q1 = 17.3 TC.
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