SUMMARY
The discussion centers on calculating the speed of a car using the Doppler effect, specifically when red light at a wavelength of 675 nm appears green at 525 nm due to the car's motion. The correct formula to use is the classical Doppler shift equation, \Delta \lambda / \lambda = v/c, where v represents the speed of the observer (the car) relative to the light source. Participants clarified that the observed wavelength should be used in the denominator, and the relativistic Doppler effect must be considered for accurate results. The final correct speed calculated was approximately 6.22e+7 m/s.
PREREQUISITES
- Understanding of the Doppler effect in physics
- Familiarity with the classical Doppler shift equation
- Basic knowledge of relativistic physics concepts
- Ability to perform calculations involving wavelengths and speed of light
NEXT STEPS
- Study the relativistic Doppler shift formula:
\frac{\lambda_o}{\lambda_s} = \sqrt{\frac{1 + \beta}{1 - \beta}}
- Learn how to derive the speed of light from wavelength changes
- Explore practical applications of the Doppler effect in real-world scenarios
- Review the principles of special relativity and their implications on speed calculations
USEFUL FOR
Students studying physics, particularly those focusing on wave phenomena, Doppler effect applications, and relativistic calculations. This discussion is beneficial for anyone needing to understand the relationship between light wavelengths and relative motion.