Which of the following pairsof physical ququantities may be represented in the same unit?

Options

A. Heat and temperature
B. temperature and mole
C. Heat and work
D. Specific heat and heat

Explanation

To solve the question of which pairs of physical quantities may be represented in the same unit, we will analyze each option provided.

### Step-by-Step Solution:

1. **Identify the Physical Quantities in Each Option:**
- We have to look at the pairs of physical quantities given in the options.

2. **Analyze Option 1: Heat and Temperature**
- **Heat** is a form of energy and is measured in **Joules (J)** or **calories (cal)**.
- **Temperature** is a measure of thermal energy and is measured in **Kelvin (K)**.
- Since the units are different (Joules/calories vs. Kelvin), **Option 1 is incorrect**.

3. **Analyze Option 2: Temperature and Mole**
- **Temperature** is measured in **Kelvin (K)**.
- **Mole** is a unit that measures the amount of substance, and its unit is simply **mole (mol)**.
- Again, the units are different (Kelvin vs. mole), so **Option 2 is incorrect**.

4. **Analyze Option 3: Heat and Work**
- **Heat** is measured in **Joules (J)** or **calories (cal)**.
- **Work** is also a form of energy and is measured in **Joules (J)** or **calories (cal)**.
- Since both heat and work can be expressed in the same units (Joules or calories), **Option 3 is correct**.

5. **Analyze Option 4: Specific Heat and Heat**
- **Specific Heat** is defined as the amount of heat per unit mass per degree of temperature change, and its unit is **Joules per kilogram per Kelvin (J/(kg·K))**.
- **Heat** is measured in **Joules (J)** or **calories (cal)**.
- The units are different (Joules vs. Joules per kilogram per Kelvin), so **Option 4 is incorrect**.

### Conclusion:
The only pair of physical quantities that can be represented in the same unit is **Option 3: Heat and Work**.