Q. 234.3( 10 Votes )

# Two identical pit

Answer :

Given,

Length of strings,

Distance between suspension points,

Magnitude of charge on each ball,

Distance between the two balls,

Let the mass of each ball be m. Let the magnitude of Tension be T and the electric force between the balls be F_{e}.

To be in accordance with the fact, , the balls must be attracted to each other. Hence, they are oppositely charged.

By trigonometry,

At equilibrium, all forces must cancel out in accordance with newton’s first law. Hence,

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**Formula used:**

By Coulomb’s law, the electric force is given by:

Where ϵ_{0} is the permittivity of free space

q_{1} and q_{2} are the magnitude of charges

r is the distance of separation between the charges

(Here, )

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The magnitude of the electric force, F_{e} is given by:

Substituting values in (3), we get

From equation (1), we get

From equation (2), we get

Hence, mass of each of the balls is 8.2 grams and Tension in each of the ropes is 0.08N.

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