A galaxy is moving away from Earth. The "blue" hydrogen line at 434 nm emitted from the galaxy is measured on Earth to be 455 nm. How fast is the galaxy moving?
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- A cathode ray consists of electrons that have been accelerated from - to + charged plates. The speed at the negative plate is 0, and an electron reaches the positive plate with speed ß c. (A) Use classical mechanics. Calculate ß. (B) Use special relativity. Calculate B. (A) (b) Potential difference = 106 kV;b) Compare these wavelengths with that of an electron traveling at 0.999c.A proton is accelerated through a Δ? of 1 V. Find its energy in units of eV.
- 7. Borg ships are cubical. A Borg ship is approaching earth. According to an observer on earth, the Borg ship is 1000 m high, 1000 m wide, and has a depth of 200 m. Earth launches a photon torpedo to destroy the Borg ship. The torpedo is launched from earth with a velocity of 0.99. The torpedo was set on earth to go off in 2 hr. 09 ce 1000 m Earth 200m a) With what velocity is the Borg ship approaching earth? b) What is the speed of the torpedo as measured by an observer on the Borg ship? ) According to an observer on the Borg ship, how long will it take the torpedo to explode?Poisson brackets in quantum mechanics: - How does dp/dx = 0 - Prove each statement in the red boxPhotons have a rest mass of zero. How can they have a non-zero momentum if this is the case? We know light slows down when moving through a medium. As it slows down, it gains mass. This allows it to have a momentum of more than zero. Classical momentum is to rest mass times velocity. Relativistic momentum is related to rest mass, velocity, and total energy. While the photon's rest mass is zero, its total energy is not. The laws of physics change when moving above 1% of the speed of light. This changes the definition of momentum. The rest mass of a photon is not zero in space, only when near the gravity of a planet like Earth.
- The elliptical galaxy NGC 4889 is the largest galaxy in the Coma Cluster (shown in the image below taken by the Hubble Space Telescope). After analysing the spectrum of NGC 4889, an astronomer identifies a spectral line as being CaII (singly ionised Calcium) with a measured wavelength of 401.8 nm. The true, rest wavelength of this spectral line, measured in a lab, is 393.3 nm. Using a Hubble constant of ?0 = 70 km/s/Mpc, find the distance to this galaxy cluster. Give your answer in megaparsecs and in light-years.How fast would a proton have to be traveling in order to have the same momentum as a photon with a frequency of 8.18 x 10^18 Hz?An electron and a positron, with a mass of 9.1 x 10-31 kilograms, annihilate each other, producing two photons. What is the approximate energy of each emerging photon? It is 0.51 Mev 2.0 MeV 4.0 MeV 1.02 MeV It cannot be determined unless the frequency of the photon is known.
- What is the speed of a 1KeV electron?An electron and an antielectron (each has mass 9.11 x 10-31 kg), each traveling at 0.6c relative to the lab frame, collide head on and annihilate, resulting in the creation of two identical photons which travel away in opposite directions. What is the frequency of each photon?What is the wavelength, in fm (femtometers, or 10^-15 m), of a proton travelling at 90% of the speed of light?