Assertion : Speed of sound in gass is independent of pressure of gas.
Reason : With increase in temperature of gas speed of sound will increase.

Options

A. If both Asseration and Reason are true an dthe Reason is correct explanation of the Asseration.
B. If both Asseration and Reason are true but Reason is not the correct explanation of Asseration.
C. If Asseration is true , but the Reason is false.
D. If Asseration is false but the Reason is true.

Explanation

To analyze the given assertion and reason, we will break down the statements and examine their validity step-by-step.

### Step 1: Understanding the Assertion
The assertion states that "the speed of sound in gas is independent of the pressure of gas."

- **Analysis**: The speed of sound in a gas is given by the formula:
\[ V = \sqrt{\frac{\gamma RT}{M}} \]
where:
- \( V \) is the speed of sound,
- \( \gamma \) is the adiabatic index (ratio of specific heats),
- \( R \) is the universal gas constant,
- \( T \) is the absolute temperature,
- \( M \) is the molar mass of the gas.

From this formula, we can see that the speed of sound does not explicitly depend on pressure. However, pressure affects density and temperature in the ideal gas law, which can indirectly influence the speed of sound.

### Conclusion for Step 1
Thus, the assertion is **false** because the speed of sound is not independent of pressure when considering the ideal gas behavior.

### Step 2: Understanding the Reason
The reason states that "with an increase in temperature of gas, the speed of sound will increase."

- **Analysis**: From the formula for the speed of sound, we observe that \( V \) is proportional to the square root of the temperature \( T \):
\[ V \propto \sqrt{T} \]
This means that as the temperature increases, the speed of sound indeed increases.

### Conclusion for Step 2
Therefore, the reason is **true** because an increase in temperature leads to an increase in the speed of sound.

### Final Conclusion
- Assertion: **False**
- Reason: **True**

### Summary
- The assertion that the speed of sound in gas is independent of pressure is incorrect.
- The reason that an increase in temperature leads to an increase in the speed of sound is correct.