In gases, the speed of sound is inversely proportional to _ of the density when other factors are the same.
Correct answer: A. Square root
- A. Square root
- B. Square
- C. Third power
- D. Third root
Explanation
Speed of sound (v) in gas is directly proportional to square root of isothermal elasticity (K) i.e. compression-rarefaction under constant temperature, and inversely proportional to square-root of density (ρ)This is given by Newton's formula,V = √ (k/ρ).therefore , from the formula it can be seen thatv=√ (1/ρ)Hence, speed of sound is inversely proportional to square root of the density.
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About Speed of Sound
The speed of sound depends on the properties of the medium, including its elasticity and density, and in gases it varies mainly with temperature. Questions connect speed with frequency and wavelength, compare sound in solids, liquids and gases, and distinguish the speed of propagation from the oscillating particles' motion.
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