alleryThe speed of sound in a gas is v = √(γP/ρ). This is the
ANewton formula assuming isothermal propagation
BDoppler formula for observed frequency shifts
CLaplace-corrected Newton formula for adiabatic
DBernoulli formula for fluid dynamics streamlines
Answer & Solution
Correct answer: C. Laplace-corrected Newton formula for adiabatic
1. Newton assumed sound propagates isothermally, giving v = √(P/ρ) — too low.
2. Laplace corrected: sound propagation is adiabatic, so v = √(γP/ρ).
3. γ = C_p / C_v is the ratio of specific heats.
4. This agrees with experimental values for air (v ≈ 340 m/s at STP).
_Source: syllabus Physics, Ch 14 "Waves", §14.4_
Keep practising Waves & Oscillations
Browse all Waves & Oscillations questions for JEE Advanced, or explore more Physics topics.