Statement-I : Velocity of sound in solids in more compared to that in gases. Statement-II : Bulk modulus of gas is more …

• The velocity of sound is given by:

  \(v=\sqrt{\frac{B}{\rho }}\)

  where:

  • \(B\) is the bulk modulus (measure of elasticity),
  • \(\rho\) is density.

• Solids have a much higher bulk modulus than gases, which increases the sound velocity.

• In gases, \(B\) is small, leading to a lower sound velocity.

Statement-I is Correct.

• The bulk modulus (\(B\)) quantifies the resistance to compression.
• Solids have a significantly higher bulk modulus than gases because they are less compressible.
• Gases are highly compressible, so their bulk modulus is much smaller.

Statement-II is Incorrect.