The rise in temperature of a body depends on

Options

A. heat supplied
B. nature of material
C. mass of the body
D. all of these

Answer

To determine the rise in temperature of a body, we can use the formula derived from the principles of heat transfer. The formula is:

\[ Q = M \cdot C \cdot \Delta T \]

Where:
- \( Q \) is the heat supplied (in joules),
- \( M \) is the mass of the body (in kilograms),
- \( C \) is the specific heat capacity of the material (in joules per kilogram per degree Celsius),
- \( \Delta T \) is the change in temperature (in degrees Celsius).

### Step-by-Step Solution:

1. **Understanding the Formula**:
- The formula \( Q = M \cdot C \cdot \Delta T \) indicates that the heat supplied to a body is directly proportional to the mass of the body, the specific heat capacity of the material, and the change in temperature.

2. **Identifying the Variables**:
- **Heat Supplied (Q)**: This is the energy added to the body, which causes its temperature to rise.
- **Mass (M)**: The amount of material in the body. A larger mass will require more heat to achieve the same temperature rise compared to a smaller mass.
- **Specific Heat Capacity (C)**: This is a property of the material that indicates how much heat is needed to raise the temperature of one kilogram of the substance by one degree Celsius. Different materials have different specific heat capacities.

3. **Rearranging the Formula**:
- To find the change in temperature \( \Delta T \), we can rearrange the formula:
\[ \Delta T = \frac{Q}{M \cdot C} \]
This shows that the change in temperature is dependent on the heat supplied and inversely dependent on the product of mass and specific heat capacity.

4. **Conclusion**:
- The rise in temperature of a body depends on three factors:
- The amount of heat supplied (\( Q \)),
- The mass of the body (\( M \)),
- The specific heat capacity of the material (\( C \)).
- Therefore, the rise in temperature is influenced by the heat given, the mass of the body, and the nature of the material.

### Final Answer:
The rise in temperature of a body depends on the heat supplied, the mass of the body, and the specific heat capacity of the material.

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