If a galaxy moving away from the Earth has a speed of 1000 km/s and emits 656 nm light characteristic of hydrogen (the most common element in the universe). (a) What wavelength would we observe on the Earth?
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- Follow up questions: Sunburn (and skin cancer) is caused by ultraviolet light waves having a frequency of around 1.02×10^16 Hz. What is their wavelength? It has been suggested that extraterrestrial civilizations (if they exist) might try to communicate by using electromagnetic waves having the same frequency as that given off by the spin flip of the electron in hydrogen, which is 1.43 GHz. To what wavelength should we tune our telescopes in order to search for such signals? Microwave ovens cook food with electromagnetic waves of frequency around 2.45 GHz. What wavelength do these waves have?What is the energy (in Joules, J) and color associated with 532-nm light? Energy and Type of EM Radiation A) 3.74×10-19 J Red (Visible, close to IR range) B) 3.74×10-19 J Violet (Visible, close to UV range) C) 3.74×10-19 J Green (Visible, middle of visible range) D) 3.74×10-28 J Colorless (Radio) E) 2.68×10+18 J Colorless (Gamma)Unpolarized light of intensity 200 W/m^2 is incident on two ideal polarizing sheets that are placed with their transmission axes perpendicular to each other. An additional polarizing sheet is then placed between the two, with its transmission axis oriented at 30∘∘ to that of the first. 1)What is the intensity of the light passing through the stack of polarizing sheets? (Express your answer to two significant figures.) 2)What orientation of the middle sheet enables the three-sheet combination to transmit the greatest amount of light?
- 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.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 analyzing the spectrum of NGC 4889, an astronomer identifies a spectral line as being CaII (singly ionized 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. a) What would be this galaxy’s recessional velocity, in km/s? b) 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. c) How would your answer to part b) differ if the Hubble constant had a smaller value? A larger value? Explain.4. Derive the maxwell equations for U, H, G and A Table 6.2.1: Maxwell Relations Function U H A G Differential dU = TdS-pdV dH = TdS + Vdp dA=-pdV - SdT dG = Vdp - SdT Natural Variables S, V S, P V, T P, T Maxwell Relation (or)--( др as V (37), = (35), as (OP), - (OV), = V (3r), - - (35), = T
- How much energy (in eV) does a photon of red light (1 = 700 nm) have? (h=6.63 1034 Jxs, c=3.00 10³ m/s, 1 eV = 1.60 10-19 J, and 1 nm = 109 m) -9 3.11 eV 2.26 eV 1.78 eV 1.24 eV..!Electrons are ejected from a metallic surface with speeds ranging up to 4.1 × 105 m/s when light with a wavelength of 630nm is used. What is the cutoff frequency for this surface? Express your answer in terms of 1014 Hz and round it to the nearest hundredth. For example, if you get 1.234 x 1014 Hz, you type in 1.23. (Hint: you should first calculate the work function of the surface.) Use h=6.626x1034 Js; c=3 x108 m/s. ; me=9.11x10-31kg Js; c=3 x108 m/s. ; me=9.11x1031kg(a) Calculate the wavelength of light in vacuum that has a frequency of 8.5*10^9Hz. (b) What is its wavelength in glycerine? (The index of refraction of glycerine is 1.473.) (c) Calculate the energy of one photon of such light in vacuum. Express the answer in electron volts
- What are the energy and momentum of a photon of red light of wavelength 620 nanometers (nm)? What is the wavelength (in nm) of photons of energy 2.40 eV?In the Michelson-Morley experiment, laser light of wavelength 600 nm is used. The path difference (in nm) observed for a fringe shift of 0.5 is?Remember the wave equation is v = lambda - f For electromagnetic waves traveling in a vacuum, they all travel at the speed of light c = 2.998 * 10 ^ 8 * m / s . An ultraviolet wave from the Sun traveling at the speed of light has a wavelength of 3 * 10 ^ - 8 * m . Calculate the frequency of this wave 8.85 * 10 ^ 15 * Hz; 2.33 * 10 ^ 13 * Hz; 9.99 * 10 ^ 13 * Hz; 9.99 * 10 ^ 15 * Hz