1. A cosmic ray particle enters the Earth's atmosphere at 97% of the speed of light (0.970c). The proper time of travel to the ground is 2.749 x 10 sec. What is the relativistic, 'dilated' time?

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1. A cosmic ray particle enters the Earth's atmosphere at 97% of the speed of light
(0.970c). The proper time of travel to the ground is 2.749 x 10 sec. What is the
relativistic, 'dilated' time?
2. The Starship Enterprise, according some Trekkie analysts, is 300 meters long. If it is
traveling at 0.952c, what would its length, L, be as seen from Earth?
[Ch 28]
3. A given photon has a frequency of 6.5 x 10" sec". What is this photon's energy?
CHAPTER 29-30
The electron in a hydrogen atom undergoes a transition from the 2nd excited state (n-3)
to the ground state (n-1).* How much energy, in eV, will be given off by the electron?
Use three significant figures. Note that, for hydrogen, E, =-13.6 eV.
*This is a transition in the Lyman series, which involves transitions between n= 1 and higher states. The
wavelengths are in the ultraviolet. The Balmer series, which involves transitions between n 2 and higher
states, yields light in the visible.
Transcribed Image Text:1. A cosmic ray particle enters the Earth's atmosphere at 97% of the speed of light (0.970c). The proper time of travel to the ground is 2.749 x 10 sec. What is the relativistic, 'dilated' time? 2. The Starship Enterprise, according some Trekkie analysts, is 300 meters long. If it is traveling at 0.952c, what would its length, L, be as seen from Earth? [Ch 28] 3. A given photon has a frequency of 6.5 x 10" sec". What is this photon's energy? CHAPTER 29-30 The electron in a hydrogen atom undergoes a transition from the 2nd excited state (n-3) to the ground state (n-1).* How much energy, in eV, will be given off by the electron? Use three significant figures. Note that, for hydrogen, E, =-13.6 eV. *This is a transition in the Lyman series, which involves transitions between n= 1 and higher states. The wavelengths are in the ultraviolet. The Balmer series, which involves transitions between n 2 and higher states, yields light in the visible.
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