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Velocity of sound is minimum in:...

Velocity of sound is minimum in:

A

air

B

helium

C

hydrogen

D

oxygen

Text Solution

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The correct Answer is:
To determine in which medium the velocity of sound is minimum, we can follow these steps: ### Step-by-Step Solution: 1. **Understand the Formula for Velocity of Sound**: The velocity of sound (V) in a medium is given by the formula: \[ V = \sqrt{\frac{\gamma P}{\rho}} \] where: - \( \gamma \) (gamma) is the specific heat ratio, - \( P \) is the pressure, - \( \rho \) (rho) is the density of the medium. 2. **Identify the Factors Affecting Sound Velocity**: - The velocity of sound is influenced by the medium's density and pressure. - Generally, sound travels faster in solids than in liquids, and faster in liquids than in gases. 3. **Compare the Velocities of Sound in Different Gases**: - According to the video transcript, the velocities of sound in various gases are: - Air: 2.33 m/s - Oxygen: 3.30 m/s - Helium: Approximately 12 m/s - Hydrogen: More than helium - From these values, we can see that air has the lowest velocity of sound compared to the other gases listed. 4. **Conclusion**: Based on the comparison of sound velocities in different gases, we conclude that the velocity of sound is minimum in air. ### Final Answer: The velocity of sound is minimum in **air**. ---

To determine in which medium the velocity of sound is minimum, we can follow these steps: ### Step-by-Step Solution: 1. **Understand the Formula for Velocity of Sound**: The velocity of sound (V) in a medium is given by the formula: \[ V = \sqrt{\frac{\gamma P}{\rho}} ...
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