As shown in the figure, a stationary mirror is mounted in a reference frame S, and an intergalactic spacecraft moves toward the mirror at a speed v relative to frame S. The instant the spacecraft is a distance d from the mirror (as measured by an observer in S), it emits a light pulse, which travels to the mirror and is reflected back to the spacecraft. Mirror S Determine an expression for the total travel time of the light pulse, as measured by the following. (a) an observer in the S frame (Use the following as necessary: c, d, and v.) 1+ Ats = 1 (b) an observer on the spacecraft (Use the following as necessary: c, d, and v.) At, : %3D What If? If the transmitted light beam has a wavelength 17, determine an expression for the shift in the wavelength of the light beam, as measured by the following. (c) an observer in the S frame (Use the following as necessary: c, v, and 17.) Ad =
As shown in the figure, a stationary mirror is mounted in a reference frame S, and an intergalactic spacecraft moves toward the mirror at a speed v relative to frame S. The instant the spacecraft is a distance d from the mirror (as measured by an observer in S), it emits a light pulse, which travels to the mirror and is reflected back to the spacecraft. Mirror S Determine an expression for the total travel time of the light pulse, as measured by the following. (a) an observer in the S frame (Use the following as necessary: c, d, and v.) 1+ Ats = 1 (b) an observer on the spacecraft (Use the following as necessary: c, d, and v.) At, : %3D What If? If the transmitted light beam has a wavelength 17, determine an expression for the shift in the wavelength of the light beam, as measured by the following. (c) an observer in the S frame (Use the following as necessary: c, v, and 17.) Ad =
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What If? If the transmitted light beam has a wavelength λT, determine an expression for the shift in the wavelength of the light beam, as measured by the following
C) an observer in the S frame (Use the following as necessary: c, v, and λT.)
D) an observer on the spacecraft (Use the following as necessary: c, v, and λT.)
Transcribed Image Text:As shown in the figure, a stationary mirror is mounted in a reference frame S, and an intergalactic spacecraft moves toward the mirror at a speed v relative to frame S. The
instant the spacecraft is a distance d from the mirror (as measured by an observer in S), it emits a light pulse, which travels to the mirror and is reflected back to the
spacecraft.
Mirror
S
Determine an expression for the total travel time of the light pulse, as measured by the following.
(a) an observer in the S frame (Use the following as necessary: c, d, and v.)
1+
Ats =
1
(b) an observer on the spacecraft (Use the following as necessary: c, d, and v.)
At, :
%3D
What If? If the transmitted light beam has a wavelength 17, determine an expression for the shift in the wavelength of the light beam, as measured by the following.
(c) an observer in the S frame (Use the following as necessary: c, v, and 17.)
Ad =
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