Statement-1 : Sound travels faster in moist air
Statement-2 : The density of moist air is less then density of dry air.

Options

A. Statement-1 is true, Statement-2 is true , Statement-2 is 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

Answer

To analyze the statements regarding sound traveling in moist air and the density of moist air compared to dry air, we can follow these steps:

### Step 1: Understand the relationship between sound velocity and density
The velocity of sound (v) in a medium is given by the formula:
\[ v = \sqrt{\frac{B}{\rho}} \]
where \( B \) is the bulk modulus of the medium and \( \rho \) is the density of the medium.

### Step 2: Analyze the effect of density on sound velocity
From the formula, we can see that the velocity of sound is inversely proportional to the square root of the density:
\[ v \propto \frac{1}{\sqrt{\rho}} \]
This means that if the density (\( \rho \)) decreases, the velocity (\( v \)) increases, and vice versa.

### Step 3: Compare the densities of moist air and dry air
It is known that moist air has a lower density than dry air because the molecular weight of water vapor (H₂O) is less than that of the nitrogen and oxygen that make up dry air. Therefore, we can conclude:
\[ \text{Density of moist air} < \text{Density of dry air} \]

### Step 4: Relate the statements
- **Statement 1**: "Sound travels faster in moist air" is true because moist air has a lower density, leading to a higher velocity of sound.
- **Statement 2**: "The density of moist air is less than the density of dry air" is also true.

### Step 5: Conclusion
Both statements are correct, and Statement 2 provides a correct explanation for Statement 1. Thus, the correct answer is that both statements are true and Statement 2 is the correct explanation for Statement 1.

### Final Answer:
Both Statement 1 and Statement 2 are correct, and Statement 2 is the correct explanation for Statement 1.

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