the velocity of sound in any gas deponds upon

Options

A. wavelength of sound
B. Density and elasticity of gas
C. intensity of sound waves
D. ampiltude and frequency of sound

Answer

To determine the factors that affect the velocity of sound in any gas, we can analyze the relationship between sound velocity, density, and elasticity:

### Step-by-Step Solution:

1. **Understanding the Formula**:
The velocity of sound \( V \) in a gas can be expressed using the formula:
\[ V = \sqrt{\frac{B}{\rho}} \]
where \( B \) is the bulk modulus of the gas (a measure of its elasticity) and \( \rho \) is the density of the gas.

2. **Identifying the Variables**:
- **Bulk Modulus (B)**: This represents how incompressible a substance is. A higher bulk modulus means that the gas is more elastic, allowing sound to travel faster.
- **Density (ρ)**: This is the mass per unit volume of the gas. A lower density allows sound to travel faster because there are fewer particles to impede the sound wave.

3. **Analyzing the Options**:
- **Wavelength of the Sound**: This does not directly affect the speed of sound in a gas.
- **Density and Elasticity of Gas**: This is correct as both density and bulk modulus (elasticity) are crucial in determining the speed of sound.
- **Intensity of Sound Waves**: This refers to the power carried by sound waves per unit area and does not affect the speed of sound.
- **Amplitude of Frequency of Sound**: Amplitude relates to the energy of the sound wave but does not influence its speed.

4. **Conclusion**:
The velocity of sound in any gas depends on the **density and elasticity of the gas**.

### Final Answer:
The velocity of sound in any gas depends on the density and elasticity of the gas.

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