2.1) Outer space is filled with photons. The frequency distribution of this radi
ID: 2015224 • Letter: 2
Question
2.1) Outer space is filled with photons. The frequency distribution of this radiation matches that of a blackbody at a temperatur near 2.7K. Find the peak frequency and a corresponding wavelength of this radiation.
2.2) A bea of light with a frequency range of 3.01*10^14 Hz-6.10*10^14 Hz is incident on a metal surface. If the work function of the metal surface is 2.20 eV what is the max kinetic energy of the photoelectrons ejected from this surface?
2.3) A photon after being scattered from a free electron at rest moves at an angle of 120 degrees with respect to the incident direction. If the wavelenth of the incident proton is .611 nm, what is the kinetic energy of the recoiling electron?
2.4) Suppose the uncertainty in an electrons position is .15 nm. What is the minimum uncertainty in the electrons kinetic energy?
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Explanation / Answer
2.1) According to the Wein's displacement law, maxT = 2.898 x 10-3 m . K ( max)(2.7 K) = 2.898 x 10-3 m . Kmax = 1.073 x 10-3 m = 1.073 mm Freuquency (f) of radiation is f = c / = (3.0 x 108 m/s) / (1.073 x 10-3 m) = 2.8 x 1011 Hz According to the CRAMSTER's policy one question should be answered per one post. So please post remaining questions as separate.
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