To analyze the given statements, we will evaluate each one based on the principles of physics regarding sound waves and their properties.
### Step-by-Step Solution:
**Step 1: Evaluate Statement 1**
- **Statement:** The speed of sound in humid air is more than the speed of sound in dry air keeping pressure constant.
- **Explanation:** The speed of sound in a medium is given by the formula:
\[
v = \sqrt{\frac{\gamma RT}{M}}
\]
where \( v \) is the speed of sound, \( \gamma \) is the adiabatic index, \( R \) is the universal gas constant, \( T \) is the absolute temperature, and \( M \) is the molar mass of the gas. In humid air, the presence of water vapor decreases the overall density of the air because the molar mass of water vapor (approximately 18 g/mol) is less than that of dry air (approximately 29 g/mol). Since the speed of sound is inversely proportional to the square root of the density, the speed of sound in humid air is indeed greater than in dry air.
- **Conclusion:** Statement 1 is **True**.
**Step 2: Evaluate Statement 2**
- **Statement:** Speed of sound in air with respect to air remains constant at a given temperature.
- **Explanation:** As mentioned in the formula above, if the temperature is constant, the values of \( \gamma \), \( R \), and \( M \) remain constant for a specific gas (air). Therefore, the speed of sound will also remain constant at a given temperature.
- **Conclusion:** Statement 2 is **True**.
**Step 3: Evaluate Statement 3**
- **Statement:** Transverse waves cannot be polarized.
- **Explanation:** This statement is incorrect. Transverse waves, such as light waves, can indeed be polarized. Polarization is a property of transverse waves where the oscillations occur in a particular direction. Longitudinal waves, like sound waves, cannot be polarized because their oscillations occur in the same direction as the wave travels.
- **Conclusion:** Statement 3 is **False**.
### Final Conclusion:
- Statement 1: True
- Statement 2: True
- Statement 3: False
Thus, the correct option is: **True, True, False**.
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