Which of the following pairs is related as in work and force ?

Options

A. Electric potential and Electric intensity
B. Momentum and velocity
C. Impulse and force
D. Resistance and voltage

Answer

To solve the question of which of the following pairs is related as in work and force, we need to analyze the relationships between the pairs given in the options.

1. **Understanding Work and Force**:
- Work (W) is defined as the product of force (F) and displacement (d) in the direction of the force. Mathematically, W = F × d.
- This means that work is related to force through the concept of displacement.

2. **Evaluating the Options**:
- **Option A: Electric Potential and Electric Intensity**:
- Electric Potential (V) is defined as the work done (W) per unit charge (Q), i.e., V = W/Q. This shows a relationship similar to work and force.
- Electric Intensity (E) is defined as the force (F) per unit charge (Q), i.e., E = F/Q. This also shows a relationship similar to work and force.
- Thus, Option A is related as in work and force.

- **Option B: Momentum and Velocity**:
- Momentum (p) is defined as mass (m) times velocity (v), i.e., p = m × v. This does not relate to work and force.
- Velocity (v) is defined as displacement (x) over time (t), i.e., v = dx/dt. This also does not relate to work and force.
- Therefore, Option B is not correct.

- **Option C: Impulse and Force**:
- Impulse (I) is defined as the change in momentum, which does not relate directly to work.
- Force (F) is related to the rate of change of momentum, but impulse does not have a direct relationship with work.
- Thus, Option C is not correct.

- **Option D: Resistance and Voltage**:
- Resistance (R) is defined as R = ρL/A, which does not relate to work.
- Voltage (V) is defined as V = I × R, which does not relate to force.
- Therefore, Option D is not correct.

3. **Conclusion**:
- After evaluating all options, we find that **Option A: Electric Potential and Electric Intensity** is the only pair that is related in the same way as work and force.

**Final Answer**: Option A (Electric Potential and Electric Intensity)

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