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4.) In 1842, Christian Doppler proposed the effect named after him to explain the apparent change of the colors of stars towards red [here color refers to wavelength]. The experimental verification is difficult because the speed of light [known since the 17th century] is e= 3.0 x 10 m/s and thus much higher than any man-made speed. In 1845, the Dutch meteorologist C. H. D. Buys-Ballot conducted an experiment for the experimental verification using sound instead of light. He placed a group of musicians playing the tone G with frequency fG = 391.995 Hz [a uwhite key on the piano] riding a train. Another group of musicians were standing on the platform of the train station. The speed of the train was adjusted so that the musicians could hear the semitone F# with frequency fr# = 369.994 Hz or G# with frequency fc# = 415.305 Hz [black keys on the piano]. Speed of sound in air vjound = 343 m/s = 767 mph. Nor DUYS BALLOT DOPPLERESFECT The experiment was re-created by the conductor Charles Hazlewood and guitarist Brian May [from the band Queen] for the BBC in 2017: https://www.bbc.co.uk/sounds/play/b090xv6w. a) Describe what the musicians waiting on the platform heard as the train was moving by them! b) What is the speed of the train?

4.) In 1842, Christian Doppler proposed the effect named after him to explain the apparent change of the colors of stars towards red [here color refers to wavelength]. The experimental verification is difficult because the speed of light [known since the 17th century] is e= 3.0 x 10 m/s and thus much higher than any man-made speed. In 1845, the Dutch meteorologist C. H. D. Buys-Ballot conducted an experiment for the experimental verification using sound instead of light. He placed a group of musicians playing the tone G with frequency fG = 391.995 Hz [a uwhite key on the piano] riding a train. Another group of musicians were standing on the platform of the train station. The speed of the train was adjusted so that the musicians could hear the semitone F# with frequency fr# = 369.994 Hz or G# with frequency fc# = 415.305 Hz [black keys on the piano]. Speed of sound in air vjound = 343 m/s = 767 mph. Nor DUYS BALLOT DOPPLERESFECT The experiment was re-created by the conductor Charles Hazlewood and guitarist Brian May [from the band Queen] for the BBC in 2017: https://www.bbc.co.uk/sounds/play/b090xv6w. a) Describe what the musicians waiting on the platform heard as the train was moving by them! b) What is the speed of the train?

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4.) In 1842, Christian Doppler proposed the effect named after him to explain the apparent change of the colors of stars towards red [here color refers to wavelength]. The experimental verification is difficult because the speed of light [known since the 17th century] is c= 3.0 x 10° m/s and thus much higher than any man-made speed. In 1845, the Dutch meteorologist C. H. D. Buys-Ballot conducted an experiment for the experimental verification using sound instead of light. He placed a group of musicians playing the tone G with frequency fG = 391.995 Hz [a white key on the piano] riding a train. Another group of musicians were standing on the platform of the train station. The speed of the train was adjusted so that the musicians could hear the semitone F# with frequency fr# = 369.994 Hz or G# with frequency fc# = 415.305 Hz [black keys on the piano]. Speed of sound in air vaound = 343 m/s = 767 mph. POr DUYS BALLOT DOPPLEREFFECT The experiment was re-created by the conductor Charles Hazlewood and guitarist Brian May [from the band Queen] for the BBC in 2017: https://www.bbc.co.uk/sounds/play/b090xv6w. a) Describe what the musicians waiting on the platform heard as the train was moving by them! b) What is the speed of the train?
Transcribed Image Text:4.) In 1842, Christian Doppler proposed the effect named after him to explain the apparent change of the colors of stars towards red [here color refers to wavelength]. The experimental verification is difficult because the speed of light [known since the 17th century] is c= 3.0 x 10° m/s and thus much higher than any man-made speed. In 1845, the Dutch meteorologist C. H. D. Buys-Ballot conducted an experiment for the experimental verification using sound instead of light. He placed a group of musicians playing the tone G with frequency fG = 391.995 Hz [a white key on the piano] riding a train. Another group of musicians were standing on the platform of the train station. The speed of the train was adjusted so that the musicians could hear the semitone F# with frequency fr# = 369.994 Hz or G# with frequency fc# = 415.305 Hz [black keys on the piano]. Speed of sound in air vaound = 343 m/s = 767 mph. POr DUYS BALLOT DOPPLEREFFECT The experiment was re-created by the conductor Charles Hazlewood and guitarist Brian May [from the band Queen] for the BBC in 2017: https://www.bbc.co.uk/sounds/play/b090xv6w. a) Describe what the musicians waiting on the platform heard as the train was moving by them! b) What is the speed of the train?
c) The musicians at the train station play the musical tone G. What frequencies do the musicians riding the train hear? d) How would the result in part b) change if the musicians play at the higher octave so that the musical tone G is at the frequency fe = 783.991 Hz, the musical tone F# is at the frequency 739.989 Hz, and the musical tone G# is at the frequency fc# = 830.609 Hz. [Open-ended question]
Transcribed Image Text:c) The musicians at the train station play the musical tone G. What frequencies do the musicians riding the train hear? d) How would the result in part b) change if the musicians play at the higher octave so that the musical tone G is at the frequency fe = 783.991 Hz, the musical tone F# is at the frequency 739.989 Hz, and the musical tone G# is at the frequency fc# = 830.609 Hz. [Open-ended question]
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