A metallic ball and highly stretched spring are made of the same material and have the same mass. They are heated so that they melt. The latent heat required

Options

A. Are the same for the
B. is greater fore the ball
C. is greater for the spring
D. For the two may or may not be the same depending upon the metal

Explanation

To solve the problem, we need to determine the latent heat required for melting a metallic ball and a highly stretched spring made of the same material and having the same mass.

### Step-by-Step Solution:

1. **Understanding Latent Heat**:
- Latent heat is the amount of heat required to change the state of a substance without changing its temperature. For melting, this is referred to as the latent heat of fusion.

2. **Identify the Formula**:
- The formula for calculating the latent heat (Q) required for melting is given by:
\[ Q = m \cdot L_f \]
where \( m \) is the mass of the substance and \( L_f \) is the latent heat of fusion.

3. **Given Conditions**:
- Both the metallic ball and the highly stretched spring are made of the same material and have the same mass.

4. **Material Dependency**:
- The latent heat of fusion \( L_f \) is a property that depends on the material. Since both objects are made from the same material, their latent heat of fusion will be the same.

5. **Mass Consideration**:
- Since both objects have the same mass, we can denote the mass as \( m \).

6. **Calculating Latent Heat for Both Objects**:
- For the metallic ball:
\[ Q_{\text{ball}} = m \cdot L_f \]
- For the highly stretched spring:
\[ Q_{\text{spring}} = m \cdot L_f \]

7. **Conclusion**:
- Since both the mass and the latent heat of fusion are the same for both objects, the latent heat required for melting both the metallic ball and the highly stretched spring is the same.

### Final Answer:
The latent heat required for melting the metallic ball and the highly stretched spring is the same.

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