On moving a charge of 20 coulomb by 2cm, 2J of work is done, then the potential difference between the points is

Options

A. (a)0.1 V
B. (b)8 V
C. (c)2 V
D. (d)0.5 V

Explanation

To find the potential difference between two points when a charge is moved, we can use the formula:

\[ V = \frac{W}{q} \]

where:
- \( V \) is the potential difference,
- \( W \) is the work done,
- \( q \) is the charge moved.

### Step-by-Step Solution:

1. **Identify the given values:**
- Work done \( W = 2 \, \text{J} \)
- Charge \( q = 20 \, \text{C} \)

2. **Substitute the values into the formula:**
\[ V = \frac{W}{q} = \frac{2 \, \text{J}}{20 \, \text{C}} \]

3. **Calculate the potential difference:**
\[ V = \frac{2}{20} = 0.1 \, \text{V} \]

4. **Conclusion:**
The potential difference between the two points is \( 0.1 \, \text{V} \).