Which of the following pairs represent of the same physical quantities?

Options

A. Kelvin and joule
B. Kelvin and calorie
C. Newton and calorie
D. joule and calorie

Explanation

To determine which pairs represent the same physical quantities, we will analyze each option step by step.

### Step 1: Analyze Option 1 - Kelvin and Joules
- **Kelvin (K)** is the unit of temperature.
- **Joules (J)** is the unit of energy (heat or work).
- **Conclusion**: Kelvin and Joules represent different physical quantities (temperature vs. energy).

### Step 2: Analyze Option 2 - Kelvin and Calorie
- **Kelvin (K)** is still the unit of temperature.
- **Calorie (cal)** is a unit of energy (specifically, it is used to measure heat energy).
- **Conclusion**: Kelvin and Calorie also represent different physical quantities (temperature vs. energy).

### Step 3: Analyze Option 3 - Newton and Calorie
- **Newton (N)** is the unit of force.
- **Calorie (cal)** is a unit of energy.
- **Conclusion**: Newton and Calorie represent different physical quantities (force vs. energy).

### Step 4: Analyze Option 4 - Joule and Calorie
- **Joule (J)** is a unit of energy.
- **Calorie (cal)** is also a unit of energy.
- **Conclusion**: Joule and Calorie represent the same physical quantity (energy).

### Final Answer
The correct option is **Option 4: Joule and Calorie**, as both represent the same physical quantity of energy.

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