Force between two charges is `36 xx 10^(-6)` N when separated by a certain distance. On increasing the separation by 5 m, the force reduces to `25 xx 10^(-6)`N. If one charge is ten times the other, find the initial separation and magnitude of charges.

Explanation

To solve the problem step by step, we will use Coulomb's law, which states that the force \( F \) between two point charges \( Q_1 \) and \( Q_2 \) separated by a distance \( r \) is given by:

\[ F = k \frac{Q_1 Q_2}{r^2} \]

where \( k \) is Coulomb's constant, approximately \( 9 \times 10^9 \, \text{N m}^2/\text{C}^2 \).

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