The velocity of sound in gases depends on temperature pressure and molecular composition.
It is given by the formula: v = √(γ R T / M) where γ is the adiabatic index R is the gas constant T is temperature and M is molar mass.
Class 11 Physics covers Waves in Chapter 12 for the CBSE Exam 2024-25. This chapter explains wave motion types of waves and their properties. It includes concepts like wavelength frequency velocity and the principle of superposition. Topics like sound waves resonance and Doppler effect are also discussed to help students understand wave phenomena in nature and technology.
The velocity of sound (v) in a gas is determined by the formula:
v = √(γRT/M)
where:
– γ is the adiabatic index,
– R is the universal gas constant,
– T is the absolute temperature,
– M is the molar mass of the gas.
Since v ∝ √T, the velocity of sound increases with temperature. Pressure does not directly affect the speed of sound in an ideal gas because both pressure and density change proportionally, keeping their ratio constant.
The velocity of sound (v) in a gas is determined by the formula:
v = √(γRT/M)
where:
– γ is the adiabatic index,
– R is the universal gas constant,
– T is the absolute temperature,
– M is the molar mass of the gas.
Since v ∝ √T, the velocity of sound increases with temperature. Pressure does not directly affect the speed of sound in an ideal gas because both pressure and density change proportionally, keeping their ratio constant.
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