Exam 27: Quantum Optics

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What are the wavelength and the corresponding photon energy (in electron-volts)of the primary light emitted by an ideal blackbody at each of the following temperatures? (c = 3.00 × 108 m/s,h = 6.626 × 10-34 J ∙ s,1 eV = 1.60 × 10-19 J,and the constant in Wein's law is 0.00290 m ∙ K) (a)400°C? (b)800°C? (c)1200°C?

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Light with a frequency of 8.70 × 1014 Hz is incident on a metal that has a work function of 2.80 eV.What is the maximum kinetic energy that a photoelectron ejected in this process can have? (1 eV = 1.60 × 10-19 J,h = 6.626 × 10-34 J ∙ s)

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A helium-neon laser emits light at 632.8 nm.If the laser emits 1.82×10171.82 \times 10^{17} photons/second,what is its power output in mW? (c = 3.00 × 108 m/s,h = 6.626 × 10-34 J ∙ s)

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X-rays with a wavelength of 0.00100 nm are scattered by free electrons at 130° from their original direction.What is the kinetic energy (in keV)of each recoil electron? (melectron = 9.11 × 10-31 kg,c = 3.00 × 108 m/s,1 eV = 1.60 × 10-19 J,h = 6.626 × 10-34 J ∙ s)

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X-rays of wavelength 0.20 nm are scattered by a free electron.The change in the wavelength of the x-rays is observed to be 2.0 × 10-12 m at a certain scattering angle measured relative to the incoming x-ray direction.What is the scattering angle of the x-rays? (melectron = 9.11 × 10-31 kg,c = 3.00 × 108 m/s,h = 6.626 × 10-34 J ∙ s)

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What is the longest wavelength of electromagnetic radiation that will eject photoelectrons from sodium metal for which the work function is 2.28 eV? (c = 3.00 × 108 m/s,h = 6.626 × 10-34 J ∙ s, 1 eV = 1.60 × 10-19 J)

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When light of wavelength 350 nm is incident on a metal surface,the stopping potential of the photoelectrons is measured to be 0.500 V.What is the work function of this metal? (c = 3.00 × 108 m/s,h = 6.626 × 10-34 J ∙ s,1 eV = 1.60 × 10-19 J)

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A beam of x-rays at a certain wavelength are scattered from a free electron that is at rest,and the scattered beam is observed at 45.0° from the incident beam.What is the change in the wavelength of the x-rays during this process? (melectron = 9.11 × 10-31 kg,c = 3.00 × 108 m/s,h = 6.626 × 10-34 J ∙ s)

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The cylindrical filament in a light bulb has a diameter of 0.050 mm,an emissivity of 1.0,and a temperature of 3000°C.How long should the filament be in order to radiate 60 W of power? (σ = 5.67 × 10-8 W/m2 ∙ K4)

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A metallic surface is illuminated with light of wavelength 400 nm.If the work function for this metal is 2.40 eV,what is the maximum kinetic energy of the ejected electrons,in electron-volts? (1 eV = 1.60 × 10-19 J,c = 3.00 × 108 m/s,h = 6.626 × 10-34 J ∙ s)

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What is the wavelength of the most intense light emitted by a giant star of surface temperature 5000 K? The constant in Wien's law is 0.00290 m ∙ K.

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An 18.0 pm wavelength photon is scattered by a stationary electron through an angle of 120°.What is the wavelength of the scattered photon? (melectron = 9.11 × 10-31 kg,c = 3.00 × 108 m/s,h = 6.626 × 10-34 J ∙ s)

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Light of a given wavelength is used to illuminate the surface of a metal,however,no photoelectrons are emitted.In order to cause electrons to be ejected from the surface of this metal you should

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In an electric furnace used for refining steel,the temperature is monitored by measuring the radiant power emitted through a small hole in the wall of the furnace,of area 0.5 cm2.This hole acts like a perfect blackbody radiator having the same temperature as the interior of the furnace.If the temperature of the furnace (and therefore of the hole)is to be maintained at 1650°C,how much power will the hole radiate?

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If the absolute temperature of an object is tripled,the thermal power radiated by this object (assuming that its emissivity and size are not affected by the temperature change)will

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What is the surface temperature of a star,if its radiation peak occurs at a frequency of 1.06 × 1015 Hz? (c = 3.00 × 108 m/s,and the constant in Wien's law is 0.00290 m ∙ K)

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Which of the following actions will increase the energy of a photon? (There could be more than one correct choice.)

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An object having a fixed emissivity of 0.725 radiates heat at a rate of 10 W when it is at an absolute temperature T.If its temperature is doubled to 2T,at what rate will it now radiate?

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Gamma rays are photons with very high energy.How many visible-light photons with a wavelength of 500 nm would you need to equal the energy of a gamma-ray photon with energy 4.1×10−13 J?4.1 \times 10^{ - 13} \mathrm {~J} ?

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Gamma rays are photons with very high energy.What is the wavelength of a gamma-ray photon with energy 7.7 × 10-13 J? (c = 3.0 × 108 m/s,h = 6.626 × 10-34 J ∙ s)

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