STATEMENT-1 : On increasing the temperature, the height of the peak of the Maxwell distribution curve decreases.
STATEMENT-2 : The fraction of molecules is very less at the higher speeds.

Options

A. If both the statement are TRUE and STATEMENT-2 is the correct explanation of STATEMENT-1
B. If both the statement are TRUE but STATEMENT-2 is NOT the correct explanation of STATEMENT-1
C. If STATEMENT-1 is TRUE and STATEMENT-2 is FALSE
D. If STATEMENT-1 is FALSE and STATEMENT-2 is TRUE

Answer

To solve the question, we need to analyze both statements regarding the Maxwell distribution curve and the behavior of gas molecules at different temperatures.

### Step-by-Step Solution:

1. **Understanding the Maxwell Distribution Curve**:
- The Maxwell distribution curve represents the distribution of speeds of gas molecules at a given temperature. The x-axis represents molecular speed, while the y-axis represents the fraction of molecules that have that speed.

2. **Effect of Temperature on the Curve**:
- As the temperature of a gas increases, the average kinetic energy of the molecules also increases. This leads to an increase in the most probable speed of the molecules.
- The formula for the most probable speed (v_mp) is given by:
\[ v_{mp} = \sqrt{\frac{2RT}{M}} \]
where R is the gas constant, T is the temperature, and M is the molar mass of the gas.

3. **Height of the Peak**:
- At higher temperatures, while the most probable speed increases, the distribution of speeds broadens. This means that the peak of the curve, which represents the maximum fraction of molecules at the most probable speed, decreases in height.
- Therefore, **Statement 1** is true: "On increasing the temperature, the height of the peak of the Maxwell distribution curve decreases."

4. **Fraction of Molecules at Higher Speeds**:
- As the speed increases, the fraction of molecules that possess those higher speeds decreases. This is because the area under the curve represents the total fraction of molecules, and at higher speeds, fewer molecules have those speeds.
- Thus, **Statement 2** is also true: "The fraction of molecules is very less at the higher speeds."

5. **Relationship Between the Two Statements**:
- While both statements are true, they do not explain each other. The decrease in the peak height does not directly explain the fraction of molecules at higher speeds, as they are independent observations about the behavior of gas molecules.

6. **Conclusion**:
- Both statements are true, but Statement 2 is not the correct explanation of Statement 1. Therefore, the correct answer is that both statements are true, but Statement 2 does not explain Statement 1.

### Final Answer:
Both Statement 1 and Statement 2 are true, but Statement 2 is not the correct explanation of Statement 1.

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