A conducting sphere of radius `10 cm` is charged `10 muC`. Another uncharged sphere of radius `20 cm` is allowed to touch it for some tome. After that if the sphere are separted, then surface density of chsrges, on the spheres will be in the ratio of

Options

A. `1:1`
B. `2:1`
C. `1:3`
D. `1:4`

Explanation

To solve the problem step by step, we will analyze the situation of the two spheres, calculate the charges on each after they touch, and then determine the surface charge densities.

### Step 1: Understand the Initial Conditions
We have two spheres:
- Sphere 1 (conducting) with radius \( R_1 = 10 \, \text{cm} \) and charge \( Q_1 = 10 \, \mu\text{C} \).
- Sphere 2 (uncharged) with radius \( R_2 = 20 \, \text{cm} \) and charge \( Q_2 = 0 \).

### Step 2: Calculate the Total Charge
...