A commuter train passesa passenger platform at a constant speed of 44.0 m/s. The

Question

A commuter train passesa passenger platform at a constant speed of 44.0 m/s. The train horn is sounded at itscharacteristic frequency of 320 Hz.
(a) What overall change in frequency isdetected by a person on the platform as the train moves fromapproaching to receding?
1 Hz
2 increase drop     (b) What wavelength is detected by a person on the platform asthe train approaches?
3 m A commuter train passesa passenger platform at a constant speed of 44.0 m/s. The train horn is sounded at itscharacteristic frequency of 320 Hz.
A commuter train passesa passenger platform at a constant speed of 44.0 m/s. The train horn is sounded at itscharacteristic frequency of 320 Hz.
A commuter train passesa passenger platform at a constant speed of 44.0 m/s. The train horn is sounded at itscharacteristic frequency of 320 Hz.
A commuter train passesa passenger platform at a constant speed of 44.0 m/s. The train horn is sounded at itscharacteristic frequency of 320 Hz.
A commuter train passesa passenger platform at a constant speed of 44.0 m/s. The train horn is sounded at itscharacteristic frequency of 320 Hz.
(a) What overall change in frequency isdetected by a person on the platform as the train moves fromapproaching to receding?
1 Hz
2 increase drop     (b) What wavelength is detected by a person on the platform asthe train approaches?
3 m (a) What overall change in frequency isdetected by a person on the platform as the train moves fromapproaching to receding?
1 Hz
2 increase drop     (b) What wavelength is detected by a person on the platform asthe train approaches?
3 m (a) What overall change in frequency isdetected by a person on the platform as the train moves fromapproaching to receding?
1 Hz
2 increase drop     (b) What wavelength is detected by a person on the platform asthe train approaches?
3 m 2 increase drop     (b) What wavelength is detected by a person on the platform asthe train approaches?
3 m 2 increase drop     (b) What wavelength is detected by a person on the platform asthe train approaches?
3 m (b) What wavelength is detected by a person on the platform asthe train approaches?
3 m

Explanation / Answer

   The train horn is sounded at its characteristicfrequency (n) of 320 Hz    The apparent frequency (n') heard bythe observer willbe                                  n' = (v - vo / v - vs)n     as the observer is at rest velocity ofobserver vo = 0 m/s                   so n' = (v / v - vs)n         (a)            when the train is approaching vs = +vs = 44.0m/s                      n'a = (345m/s / 345m/s - 44.0m/s) 320Hz                            = .........Hz           when the train is receding vs = -vs = -44.0m/s                      n'r = (345m/s / 345m/s -(-44.0m/s))320Hz                            =.........Hz      So the overall change infrequency (no) that is detected by a person onthe platform as the train moves from approaching toreceding will be                     no= n'r - n'a                         = .......Hz       (b)             Thewavelength detected by a person on the platform as the trainapproaches will be                    = v/ n'a                      = .......m
                     n'r = (345m/s / 345m/s -(-44.0m/s))320Hz                            =.........Hz      So the overall change infrequency (no) that is detected by a person onthe platform as the train moves from approaching toreceding will be                     no= n'r - n'a                         = .......Hz       (b)             Thewavelength detected by a person on the platform as the trainapproaches will be                    = v/ n'a                      = .......m

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