Chapter 28: Q11CQ (page 1028)
What happens to the relativistic Doppler effect when relative velocity is zero? Is this the expected result?
Short Answer
The observed velocity is equal to the emitted velocity when the relative velocity is zero.
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Chapter 28: Q11CQ (page 1028)
What happens to the relativistic Doppler effect when relative velocity is zero? Is this the expected result?
The observed velocity is equal to the emitted velocity when the relative velocity is zero.
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Particles called π-mesons are produced by accelerator beams. If these particles travel at \({\rm{2}}{\rm{.70 \times 1}}{{\rm{0}}^{\rm{8}}}{\rm{\;m/s }}\) and live \({\rm{2}}{\rm{.60 \times 1}}{{\rm{0}}^{{\rm{ - 8}}}}\) when at rest relative to an observer, how long do they live as viewed in the laboratory?
Relativistic effects such as time dilation and length contraction are present for cars and airplanes. Why do these effects seem strange to us?
(a) Show that\[{\left({pc}\right)^2}/{\left({m{c^2}{\rm{}}} \right)^2}{\rm{ }} = {\rm{ }}{\gamma ^2}{\rm{ }} - {\rm{ }}1\]. This means that at large velocities\[pc>>m{c^2}\]. (b) Is\[E{\rm{}}\approx{\rm{}}pc\]when\[\gamma{\rm{}}={\rm{}}30.0\], as for the astronaut discussed in the twin paradox?
To whom does an object seem greater in length, an observer moving with the object or an observer moving relative to the object? Which observer measures the object’s proper length?
A neutral π-meson is a particle that can be created by accelerator beams. If one such particle lives 1.40×1048sas measured in the laboratory, and0.840×10-18s when at rest relative to an observer, what is its velocity relative to the laboratory?
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