91影视

A famous experiment detected 527 muons per hour at the top of Mt. Washington, New Hemisphere, elevation 1910 m . At sea level, the same equipment detected 395 muons per hour. A discriminator selected for muons whose speed was between 0.9950 c and 0.9954c . Given that the mean lifetime T of a muon in a frame in which it is at rest is $\mathbf{2}\mathbf{.}\mathbf{2}\mathbf{}\mathit{渭}\mathit{s}$and that in this frame the number of muons decays exponentially with time according to $\mathbf{N}\mathbf{=}{\mathbf{N}}_{\mathbf{0}}{\mathbf{e}}^{\mathbf{-}\mathbf{i}\mathbf{/}\mathbf{T}}$, show that the results obtained in the experiment are sensible.

An experimenter determines that a particle created at one end of the laboratory apparatus moved at 0.94c and survived for $\mathbf{0}\mathbf{.}\mathbf{032}\mathbf{}\mathit{渭}\mathit{s}$decaying just as it reached the other end. (a) According to the experimenter. How far did the particle move? (b) In its own frame of reference, how long did the particle survive? (c) According to the particle, what was the length of the laboratory apparatus?

Anna and Bob are both born just as Anna's spaceship passes Earth at $0.9c$. According to Bob on Earth planet Z is a fixed away. As Anna passes planet Z on her continuing onward journey, what will be

(a) Bob's age according to Bob

(b) Bob's age according to Anna

(c) Anna's age according to Anna

(d) Anna's age according to Bob

At rest, a light source emits $\mathbf{532}\mathbf{\text{鈥�}}\mathit{n}\mathit{m}$light. (a) As it moves along the line connecting it and Earth. observers on Earth see$\mathbf{412}\mathbf{\text{鈥�}}\mathit{n}\mathit{m}$ . What is the source's velocity (magnitude and direction)? (b) Were it to move in the opposite direction at the same speed. what wavelength would be seen? (c) Were it to circle Earth at the same speed. what wavelength would be seen?

The light from galaxy NGC 221 consists of a recognizable spectrum of wavelengths. However, all are shifted towards the shorter-wavelength end of the spectrum. In particular, the calcium 鈥渓ine鈥� ordinarily observed at $\mathbf{396}\mathbf{.}\mathbf{85}\mathbf{\text{鈥�}}\mathit{n}\mathit{m}$is observed at $\mathbf{396}\mathbf{.}\mathbf{58}\mathbf{\text{鈥�}}\mathit{n}\mathit{m}$. Is this galaxy moving toward or away from Earth? At what speed?

A space probe has a powerful light beacon that emits 500 nm light in its own rest frame. Relative to Earth, the space probe is moving at 0.8c . An observer on Earth is viewing the light arriving from the distant beacon and detects a wavelength of 500nm. Is this possible? Explain.

According Anna, on Earth, Bob is on a spaceship moving at 0.8c toward Earth, and Carl, a little farther out. is on a spaceship moving at 0.9c toward Earth. (a) According to Bob, how fast and in what direction is Carl moving relative to himself (Bob)? (b) According to Bob, how fast is Carl moving relative to Earth?

In a particle collider experiment, particle I is moving to the right at 0.99c and particle 2 to the left at 0.99c, both relative to the laboratory. What is the relative velocity of the two panicles according to (an observer moving with) particle 2?

A light beam moves at an angle$\mathit{胃}$ with the x-axis as seen from frame S. Using the relativistic velocity transformation, find the components of its velocity when viewed from frame $\mathit{S}\mathbf{\text{'}}$. From these, verify explicitly that its speed is c.

Determine the momentum of an electron moving (a) at speed $\mathbf{2}\mathbf{.}\mathbf{4}\mathbf{脳}{\mathbf{10}}^{\mathbf{4}}$m/s (about three times escape velocity) and (b) at speed $\mathbf{2}\mathbf{.}\mathbf{4}\mathbf{脳}{\mathbf{10}}^{\mathbf{8}}$m/s. (c) In each case by how much is the classical formula in error?