If specific heat of a substance is infinite, it means a) heat is given out b) heat is taken in c) no change in temperature whether heat is taken in or given out d) all of these

Options

A. heat is given out
B. heat is taken in
C. no change in temperature whether heat is taken in or given out
D. all of these

Explanation

To solve the question regarding the implications of a substance having an infinite specific heat, we can follow these steps:

### Step 1: Understand Specific Heat
Specific heat is defined as the amount of heat required to raise the temperature of a unit mass of a substance by one degree Celsius (or one Kelvin).

### Step 2: Analyze Infinite Specific Heat
If a substance has an infinite specific heat, it implies that an infinite amount of heat is required to change its temperature. This means that no matter how much heat is added or removed, the temperature of the substance will not change.

### Step 3: Consider the Implications
Since an infinite amount of heat is needed to increase the temperature, it follows that:
- If heat is added (taken in), the temperature remains constant.
- If heat is removed (given out), the temperature also remains constant.

### Step 4: Evaluate the Options
Now, let's evaluate the options provided in the question:
a) Heat is given out - This does not necessarily mean a change in temperature.
b) Heat is taken in - This also does not result in a change in temperature.
c) No change in temperature whether heat is taken in or given out - This is consistent with our analysis.
d) All of these - This is not correct since options a and b do not imply a change in temperature.

### Conclusion
Based on the analysis, the correct answer is:
**c) no change in temperature whether heat is taken in or given out.**

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