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  • Pulse Motion Relative to Source: Understanding Doppler Effect & Wave Propagation
    The motion of a pulse with respect to the source depends on whether the source is stationary or moving. Here's a breakdown:

    1. Stationary Source:

    * Pulse moves away from the source: If the source is stationary, the pulse travels away from it at a constant speed (the wave speed).

    * No relative motion between the source and pulse: The pulse and the source are not moving relative to each other.

    2. Moving Source:

    * Doppler Effect: When the source is moving, the observed frequency and wavelength of the pulse change. This is known as the Doppler Effect.

    * Higher frequency/shorter wavelength when approaching: If the source is moving towards the observer, the pulse waves are compressed, resulting in a higher frequency and shorter wavelength.

    * Lower frequency/longer wavelength when receding: If the source is moving away from the observer, the pulse waves are stretched out, resulting in a lower frequency and longer wavelength.

    Key Points:

    * Pulse speed remains constant: The speed of the pulse itself (wave speed) remains constant regardless of the source's motion.

    * Relative motion affects perception: It's the relative motion between the source and the observer that causes the observed frequency and wavelength to change.

    Example:

    Imagine a boat creating ripples on the surface of a lake.

    * Stationary boat: The ripples move outward from the boat at a constant speed.

    * Moving boat: The ripples in front of the boat are closer together (higher frequency), while the ripples behind the boat are further apart (lower frequency).

    To summarize:

    * Stationary source: Pulse travels away from the source at a constant speed, no relative motion.

    * Moving source: Pulse still travels at a constant speed, but the observed frequency and wavelength change due to the Doppler Effect.

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