The specific heat capacities of Aluminium and Iron are `900 J kg^(-1) K^(-1) and 480 J kg^(-1) K^(-1)`. If a block of aluminium and a block of Iron are supplied the same amount of heat, then

Options

A. temperature rise is more in aluminium block
B. temperature rise is more in iron block
C. temperature rise is same in both blocks
D. information insufficient

Explanation

To solve the problem, we need to understand how the specific heat capacity relates to the temperature change of the two blocks when the same amount of heat is supplied to both.

### Step-by-Step Solution:

1. **Understand the Formula**: The relationship between heat (Q), mass (M), specific heat capacity (C), and temperature change (ΔT) is given by the formula:
\[ Q = M \cdot C \cdot \Delta T \]
Rearranging this gives us:
\[ \Delta T = \frac{Q}{M \cdot C} \]

2. **Identify Given Values**:
- Specific heat capacity of Aluminium, \( C_{Al} = 900 \, \text{J kg}^{-1} \text{K}^{-1} \)
- Specific heat capacity of Iron, \( C_{Fe} = 480 \, \text{J kg}^{-1} \text{K}^{-1} \)
- Both blocks are supplied with the same amount of heat, \( Q \).

3. **Set Up the Equations for Temperature Change**:
For Aluminium:
\[ \Delta T_{Al} = \frac{Q}{M_{Al} \cdot 900} \]
For Iron:
\[ \Delta T_{Fe} = \frac{Q}{M_{Fe} \cdot 480} \]

4. **Compare the Temperature Changes**:
Since both blocks receive the same amount of heat \( Q \), we can compare the temperature changes:
\[ \Delta T_{Al} \text{ and } \Delta T_{Fe} \]
The temperature change will depend on the mass of each block.

5. **Analyze the Relationship**:
- If the mass of Aluminium \( M_{Al} \) is equal to the mass of Iron \( M_{Fe} \), we can directly compare:
\[ \Delta T_{Al} = \frac{Q}{M \cdot 900} \quad \text{and} \quad \Delta T_{Fe} = \frac{Q}{M \cdot 480} \]
- This shows that the temperature rise for Aluminium will be less than that for Iron because Aluminium has a higher specific heat capacity.

6. **Conclusion**:
- If both blocks have the same mass, the block of Iron will experience a greater temperature rise than the block of Aluminium when the same amount of heat is supplied.