Question

For the given statements below, mark the correct option. Statement-I: Work done by a conservative force \( f \), from \( r_1 \) to \( r_2 \) is given by: \[ W = \int_{r_1}^{r_2} f \, dr. \] Statement-II: Work done by conservative force is path dependent.

• A. Statement-I and Statement-II is true
• B. Statement-I is true and Statement-II is false
• C. Statement-I is false and Statement-II is true
• D. Statement-I and Statement-II is false

Hint:

For a conservative force, the work done is independent of the path and depends only on the initial and final points.

Answer 1

The Correct Option is D

To determine the correctness of the statements provided, let's analyze them one by one:

1. **Statement-I Analysis:**
2. **Statement-II Analysis:**

Thus, the correct option based on the given analysis is:

Statement-I is true and Statement-II is false.