Sound Waves: Doppler Formula MCQ

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Doppler FormulaHardQuestion 31276

Question

Relativistic Doppler formula for light (source approaching): f_obs = f₀√((1+β)/(1−β)) where β = v/c. For v << c this reduces to:

f₀(1+v/c)

For v << c: √((1+β)/(1−β)) ≈ 1+β = 1+v/c (first order approximation). Classical Doppler formula for light: f_obs ≈ f₀(1+v/c) for approach.