Show that the Planck radiation law agrees with the RayleighJeans formula for large wavelengths.
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Show that the Planck radiation law agrees with the RayleighJeans formula for large wavelengths.
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- Calculate the momentum of a 4.10 x 10^2 nm photon of violet light.(a) A vacuum photocell is sequentially illuminated with light of different wavelengths 2. A voltmeter is used to determine that there is a different voltage between the cathode and the anode. V (iii) Determine a relation for Planck's constant in terms of pairs of voltage measurements at different wavelengths such that W₁ cancels out. (iv) Evaluate Planck's constant for the following pair of measurements: measurement 1 finds = 447 nm and V=635 mV, and measurement 2 finds = : 502 nm and V=339 mV.(b) Calculate the de Broglie wavelength of an electron having a mass of 9.11 x 10-31 kg and a charge of 1.602 x 10-19 J with a Kinetic energy of 110 eV. The value of the Planck’s constant is equal to 6.63 * 10-34 Js.
- Planck’s constant has the value h = 6.626 × 10–34 joule-seconds (J-s), and the speed of light is c = 3 × 108 m/s. Using these values, calculate the wavelength carried by photons emitted with an energy of 1.1 × 10-19 J.In 1893, physicist Wilhelm Wien showed that the wavelength of maximum thermal emission strength of electromagnetic radiation from a blackbody at temperature T obeys: Amax T 2.898 mm.K. = This result, known today as Wien's Law, is very useful for, among other things, esti- mating the temperature of distant objects based on the color of light they emit. (a) Planck's spectral energy density function is usually written as an energy per range df of frequencies. Quite often, however, it is more convenient to express it as anShow that Planck's law reduces to Wien's law for shorter wavelength and Rayleigh-Jeans law for longer wavelength.