A railroad train is traveling at 30.0 m/s in still air. The...

Name: Problem 50, Chapter 16: University Physics with Modern Physics
Uploaded: 2019-03-21T20:42:35-08:00
Duration: 3 min 8 s
Channel: Mohit Khurana
Description: A railroad train is traveling at 30.0 m/s in still air. The frequency of the note emitted by the train whistle is 352 Hz. What frequency is heard by a passenger on a train moving in the opposite direction to the first at 18.0 m/s and (a) approaching the first and (b) receding from the first?

A railroad train is traveling at 30.0 m/s in still air. The frequency of the note emitted by the train whistle is 352 Hz. What frequency is heard by a passenger on a train moving in the opposite direction to the first at 18.0 m/s and (a) approaching the first and (b) receding from the first?

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Key Concepts

Doppler Effect

The Doppler effect is the change in frequency or wavelength of a wave in relation to an observer moving relative to the source of the wave. In the context of sound, it explains how the pitch of a sound appears higher as the source approaches an observer and lower as it recedes.

Relative Velocity

Relative velocity in the Doppler effect refers to the speeds of both the source and the observer with respect to the medium through which the wave travels. This concept is crucial because the perceived frequency depends on the combination of both velocities, determining whether the wave fronts are compressed or spread out.

Frame of Reference

The frame of reference is important in problems involving the Doppler effect because the calculations are typically performed with respect to a common medium—in this case, air. Distinguishing between the observer’s and the source’s velocities relative to the medium allows for the correct application of the Doppler effect formulas.

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