Two particles of equal mass
and charge
are placed at a distance of 16 cm. They do not experience any force. The value of
is
Text Solution
Verified by ExpertsD
The magnitude of the electrostatic force
between the two charges is given by Coulomb's Law:
.
The magnitude of the gravitational force
between the two masses is given by Newton's Law of Universal Gravitation:
.
For no net force, the magnitudes of these forces must be equal:
.
Substituting the expressions for
and
.
The
terms cancel out from both sides:
.
Rearranging the equation to find the ratio
.
Taking the square root of both sides yields the value of
.
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