Answer : The distance between the cup and metal sphere is 0.1457 meter.
Solution : Given,
Charge on the cup =
Charge on metal =
Electric force = 2.12 Newton
coulombs constant, K =
Formula used : According to the Coulombs Law,
where,
F = Electric force
= coulombs constant
= Charge on the cup
= Charge on the metal
r = Distance between the two charged species
Now put all the given values in above formula, we get
By rearranging the terms, we get the value of 'r'
r = 0.1457 meter
Therefore, the distance between the cup and metal sphere is 0.1457 meter.