The human eye is most sensitive to 560-nm light. What is the temperature of a black body that would radiate most intensely at this wavelength?
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- At the surface of the sun, the temperature is approximately 5800 K. A. How much energy is contained in the electromagnetic radiation filling ten cubic meter of space at the sun's surface? B. Make a qualitative sketch of the radiation spectrum at the temperatures of 3000 K and 3800 K as a function of photon energy (eV). Indicate the peak position of these electromagnetic radiations in relation with the solar radiation spectrum.A square metal plate with a side 0.4m is heated to a temperature of 2000k by passing a current through it. Assuming that it behaves like a blackbody, how much power does the plate radiate under these conditions?The mathematical equation for studying the photoelectric effect is hν = W + 1/2 meu2 where ν is the frequency of light shining on the metal; W is the energy needed to remove an electron from the metal; and me and u are the mass and speed of the ejected electron, respectively. In an experiment, a student found that a maximum wavelength of 351 nm is needed to just dislodge electrons from a metal surface. Calculate the velocity (in m/s) of an ejected electron when the student employed light with a wavelength of 283 nm.
- Helium was first discovered when astronomers viewed the spectrum from the Sun and could not associate absorption lines associated with any terrestrial element. One wavelength that was strongly absorbed was 587.5 nm (1 nm = 1.0×10-9 m). What is the energy associated with this wavelength of light? a. 1.06 eV (or 1.70×10-19 J) b. 0.943 eV (or 1.51×10-19 J) c. 2.11 eV (or 3.38×10-19 J) d. 0.472 eV (or 7.57×10-20 J)Suppose a star with radius 8.57 × 108 m has a peak wavelength of 680 nm in the spectrum of its emitted radiation. (a) Find the energy of a photon with this wavelength. J/photon (b) What is the surface temperature of the star? K (c) At what rate is energy emitted from the star in the form of radiation? Assume the star is a blackbody (e = 1). W (d) Using the answer to part (a), estimate the rate at which photons leave the surface of the star. photons/sThe human eye is most sensitive to 560-nm (green) light. What is the temperature of a blackbody that would radiate most intensely at this wavelength?
- A nickel crystal’s work function is measured to be 5.22 eV at 25°C. As the temperature increases by 300°C, the work function drops by 50 meV. By how much does this shift the threshold wavelength for photoelectric emission?A photon having a wavelength of 182 nm strikes the surface of a metal sheet having a threshold frequency (νo) of 9.27 x 1014 s-1. Calculate the velocity of the ejected electron in SI units AND in units of miles per hour. Hint: Combine equations 1.3 (pg 16 of textbook) and 3.6 (pg. 94). Report the units of your answer.Suppose a company wanted to develop an electricity-generating device based on the Earth as a blackbody. This temperature of 35°C at night. What would be the work function of a metal that could produce photoelectrons from the peak wavelength of the Earth's blackbody radiation at this temperature? What would be the kinetic company chose to base its operations in Death Valley, California, whose summers see a surface energy of a photoelectron produced by light half this wavelength?