Question

Two charged metallic spheres with radii $R_1$ and $R_2$ are brought in contact and then separated. The ratio of final charges $Q_1$ and $Q_2$ on the two spheres respectively will be _____.
Fill in the blank with the correct answer from the options given below

• A. $\frac{Q_2}{Q_1}=\frac{R_1}{R_2}$
• B. $\frac{Q_2}{Q_1}<\frac{R_1}{R_2}$
• C. $\frac{Q_2}{Q_1}>\frac{R_1}{R_2}$
• D. $\frac{Q_2}{Q_1}=\frac{R_2}{R_1}$

Answer 1

Answer: (D)

$\frac{Q_2}{Q_1}=\frac{R_2}{R_1}$

Answer 2

When two metallic spheres are brought into contact, charge distribution occurs in such a way that the charge density on both spheres becomes equal. The ratio of final charges is proportional to the ratio of their radii, i.e, $\frac{Q_2}{Q_1}=\frac{R_2}{R_1}$