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Which of the following has energy unit ?...

Which of the following has energy unit ?

A

Rate of doing work

B

Watt

C

Products of pressure and volume

D

Potential gradient.

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The correct Answer is:
To determine which of the following options represents an energy unit, we need to analyze each option provided. ### Step-by-Step Solution: 1. **Understanding the Options**: We have four options to evaluate. We need to identify which of these options is a unit of energy. 2. **Option Analysis**: - **Option A: Rate of Doing Work**: - The rate of doing work is defined as power. The unit of power is Watts (W), which is not a unit of energy. Therefore, this option is incorrect. - **Option B: What**: - This option seems to be unclear or possibly a typographical error. However, if we consider it as "Watt" again, it is a unit of power, not energy. Thus, this option is also incorrect. - **Option C: Potential Gradient**: - The potential gradient refers to the change in potential energy per unit distance. It is not a direct measure of energy itself, hence this option is incorrect. - **Option D: Product of Pressure and Volume**: - Pressure (P) is defined as force (F) per unit area (A), and volume (V) is a measure of space. The product of pressure and volume can be expressed as: \[ P \times V = \frac{F}{A} \times V \] When we analyze this further, we can express volume in terms of length and area: \[ V = A \times d \quad \text{(where d is the height or length)} \] Substituting this back, we get: \[ P \times V = \frac{F}{A} \times (A \times d) = F \times d \] Since work (W) is defined as force times distance (F × d), we conclude that: \[ P \times V = W \] Therefore, since work is equivalent to energy, the product of pressure and volume is indeed a unit of energy. 3. **Conclusion**: The correct answer is **Option D: Product of Pressure and Volume**.

To determine which of the following options represents an energy unit, we need to analyze each option provided. ### Step-by-Step Solution: 1. **Understanding the Options**: We have four options to evaluate. We need to identify which of these options is a unit of energy. 2. **Option Analysis**: ...
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