Statement-1 :The area under the maxwell distribution molecular speed curve remains same irrespective of temperature of gas.
Statement-2 :The fraction of molecules with most probable speed increases with increases of temperature.

Options

A. Statement-1 is True, Statement-2 is True, Statement-2 is a correct explanation for Statement-1
B. Statement-1 is True, Statement-2 is True, Statement-2 is NOT a correct explanation for Statement-1
C. Statement-1 is True, Statement-2 is False.
D. Statement-1 is False, Statement-2 is True.

Explanation

To analyze the given statements regarding Maxwell distribution of molecular speeds, let's break down the problem step-by-step:

### Step 1: Understand Maxwell Distribution
Maxwell distribution describes the distribution of speeds of particles in a gas. The curve shows how many molecules have a certain speed at a given temperature.

### Step 2: Evaluate Statement 1
**Statement 1**: "The area under the Maxwell distribution molecular speed curve remains the same irrespective of the temperature of gas."

- The area under the curve represents the total number of molecules in the gas.
- This area does not change with temperature because it is dependent on the total number of molecules present, which remains constant if the amount of gas is unchanged.
- Therefore, **Statement 1 is true**.

### Step 3: Evaluate Statement 2
**Statement 2**: "The fraction of molecules with most probable speed increases with increases of temperature."

- The most probable speed (MPS) is the speed at which the maximum number of molecules are found.
- As temperature increases, the most probable speed also increases. However, while the MPS increases, the fraction of molecules that have this MPS actually decreases. This is because the distribution broadens, and more molecules have speeds that are higher than the previous MPS.
- Therefore, **Statement 2 is false**.

### Conclusion
- **Statement 1 is true** and **Statement 2 is false**. Thus, the correct answer is that the first statement is true and the second statement is false.

### Final Answer
The correct option is **B** (Statement 1 is true, Statement 2 is false).

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