Calculate the de Broglie wavelength of an electron moving with 1/3rd of the speed of light in vacuum. (Neglect relativistic effect) (Planck's constant : h = 6.63 × 10-3ª Js, Mass of electrons : m = 9.11 × 10-28 g)
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- 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. Pick the closest value:A photon has momentum of magnitude 2.48 x 10-28 kg.m/s. (a) What is the kinetic energy of this photon? (b) What is the wavelength of this photon? (c) In what region of the electromagnetic spectrum does it lie?The work function of a tungsten surface is 5.4 eV. When the surface is illuminated by light of wavelength 175 nm, the maximum photoelectric energy is 1.7 eV. Find Planck's constant from these data.
- (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.
- What is the energy of a photon if it's frequency is 1.00s-1?. Find the momentum of a photon in eV/c and in kg·m/s if the wavelength is (a) 400 nm, (b) 1 Å = 0.1 nm, (c) 3 cm, and (d) 2 nm.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 an