Question

The specific heat capacity of a copper block of mass \( M \) is \( s \). If the mass of the copper block is doubled, the specific heat capacity will be:

• A. \( 2s \)
• B. \( \frac{s}{2} \)
• C. \( s \)
• D. \( \frac{\sqrt{3}}{2} s \)

Hint:

Specific heat capacity is independent of mass; it only depends on the material.

Answer 1

The Correct Option is C

The specific heat capacity is defined as the amount of heat required to raise the temperature of a unit mass by one degree Celsius. The specific heat capacity of a substance is independent of its mass; it is a property of the material itself.
Therefore, when the mass of the copper block is doubled, the specific heat capacity does not change.
Thus, the specific heat capacity remains \( s \).

Answer 2

Step 1: Understand what specific heat capacity means.
Specific heat capacity \( s \) is defined as the amount of heat required to raise the temperature of 1 kg of a substance by 1°C (or 1 K). It is a material property and does not depend on the mass of the substance.

Step 2: Analyze the effect of changing the mass.
If the mass of the copper block is doubled, the total heat required to raise its temperature will also double, but the specific heat capacity remains the same because it is independent of mass.

Conclusion:
Even if the mass is doubled, the specific heat capacity of the copper block remains \( s \).

Final Answer: \( \boxed{s} \)