Problem

A pulsar is a rapidly spinning remnant of a super…

02:59

Problem 65 Hard Difficulty

A neighboring galaxy rotates on its axis so that stars on one side move toward us as fast as 200 km/s, while those on the other side move away as fast as 200 km/s. This causes the EM radiation we receive to be Doppler shifted by velocities over the entire range of ±200 km/s. What range of wavelengths will we observe for the 656.0-nm line in the Balmer series of hydrogen emitted by stars in this galaxy. (This is called line broadening.)

Answer

655.6 $\mathrm{nm}$ to 656.4 $\mathrm{nm}$

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Physics 103

College Physics for AP® Courses

Chapter 30

Atomic Physics

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Video Transcript

and neighboring galaxy pertain rotates around its exes. And we know that some stars are moving with velocity off 200 meter kilometers per second towards theirs. And others are, uh, some stars. I'm going to get away from the areas with this rela city and others have some intermediate directions, huh? And so, for, for one way, billings, um, we would get range off no Corp lizard wailing on the earth, depending the direction off Office star. Um, so they're ramblings. Original way wings, Uh, is 600. Ah, five 50 seeks nanometers from, uh, bomber series. And, uh, would would be the range off way links I observed on the earth. So maximum and I mean you moon away Lengths s O from the Doppler for former formula. We know that, um, Maxim shift in wellings would be observed when the source is moving a way off from an observer. This means that stars which are moving away from the earth uh, and we we would have by lambda and realist thrilled the receipt form formula. Uh, for Governor Safety's one. Place me down one minus speeder. While we know that these ties, um, moving away from the earth in this case. And Peter is we oversee. Ah, where were these? 200 kilometers per second. And Ah, this is much less than one. Obviously, because a spirit of speed of light is around Ah, 300,000 kilometres per second. So we can make and approximation, Um, while be days like much list and one we can write that the seas approximately one plus three time um multiplied on Lambda Not and see me. Similarly for many moons. Railings well preserved. Ah, we, uh does this tire He's moving towards the earth in this case. Ah, and we have Landa known and again this relativistic form formula Royal The stars told his moon tower stairs Uh, the shift in whaling should be negatives and begin thesis is approximately one minus. Beat them land. And if we on these numbers Ah, and find these values, we would get maximum away with wings off 656.44 and meaning room 655 point 56. No, no

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