12_InstSolManual_PDF_Part18

12_InstSolManual_PDF_Part18 - The observer at rest with...

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12.63. Set Up: Take the positive direction to be from listener to source and apply Solve: (a) See Figure 12.63a. The frequency is increased by a factor of three. (b) See Figure 12.63b. Figure 12.63 The listener is overtaking the waves with a relative speed so passes through them in the reverse direction. The lis- tener hears an unshifted frequency but hears the sound in reverse, hearing last the sound emitted first as it overtakes the front of the wave train. (c) The pitches are unaltered but the music is heard in reverse, like a tape recording played in reverse. 12.64. Set Up: The positive direction is from the listener to the source. (a) (b) (c) The answer in (b) is much less than the answer in (a). It is the velocity of the source and listener relative to the air that determines the effect, not the relative velocity of the source and listener relative to each other. 12.65. Set Up: The formula for the Doppler shift for light is The sign convention is that is negative when the source and listener are approaching, so Solve: The astronomer on earth measures
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Unformatted text preview: The observer at rest with respect to the star measures and Reflect: The source and observer are approaching so and Note that is the relative velocity of the source and receiver. v l L , l S . f L . f S l S 5 c f S 5 3.00 3 10 8 m / s 5.362 3 10 14 Hz 5 559.5 nm f S 5 Å c 1 v c 2 v f L 5 Å 3.00 3 10 8 m / s 2 2.0 3 10 7 m / s 3.00 3 10 8 m / s 1 2.0 3 10 7 m / s 1 5.732 3 10 14 Hz 2 5 5.362 3 10 14 Hz l S . f S f L 5 c l L 5 3.00 3 10 8 m / s 523.4 3 10 2 9 m 5 5.732 3 10 14 Hz f L . c 5 f l v 5 2 2.0 3 10 7 m / s. v f L 5 Å c 2 v c 1 v f S . f L 5 1 v 1 v L v 1 v S 2 f S 5 1 344 m / s 1 172 m / s 344 m / s 2 1 1000 Hz 2 5 1500 Hz v L 5 1 172 m / s. v S 5 0, f L 5 1 v 1 v L v 1 v S 2 f S 5 1 344 m / s 344 m / s 2 172 m / s 2 1 1000 Hz 2 5 2000 Hz v L 5 0. v S 5 2 1 344 m / s 2 / 2 5 2 172 m / s, f S 5 1000 Hz. v , f L 5 1 v 2 2 v v 2 f S 5 2 f S 5 2 f . v 5 S ( a ) v 5 S f S 1 1 L 2 v ( b ) L 2 v f L 5 1 v 1 2 v v 2 f S 5 3 f S 5 3 f . f L 5 1 v 1 v L v 1 v S 2 f S . 12-18 Chapter 12...
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