(a) Compare the de Broglie wavelength for an electron (m, = 9.11 × 10°31 kg) moving at a speed of 1.21 x 107 m/s with that of a baseball of mass 0.145 kg pitched at 43.7 m/s. 2, - 5.987E-11 d3 = 1.04E-34 (b) Compare these wavelengths with that of an electron traveling at 0.999c.
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- Compute the de Broglie wavelength of the following: (a) A 1000-kg automobile traveling at 100 m/s (about 200 mi/h). (b) A 10-g bullet traveling at 500 m/s. (c) A smoke particle of mass 10 g moving at 1 cm/s. (d) An electron with a kinetic energy of 1 eV. (e) An elec- tron with a kinetic energy of 100 MeV..Calculate the de Broglie wavelength of a41.2 kg person who is running at a speedof 4.74 m/s.Answer in units of m.(a) Calculate the de Broglie wavelength of an He atom travelling at a speed of 1000 m s−1 (b) Calculate the wavelength of electrons travelling in an electron beam with an average speed of 1.3 × 108 m s-1.
- Find the frequency of a photon of wavelength 436x10^-9 m , p= 1.5197x10^-27 kg.m/s ?!During a certain experiment, the de Broglie wavelength of an electron is 500 nm = 5.0 ✕ 10−7 m, which is the same as the wavelength of green light. How fast (in m/s) is the electron moving?(a) If the wavelength of an electron is 4.77 ✕ 10−7 m, how fast is it moving? ______ km/s (b) If the electron has a speed equal to 3.50 ✕ 106 m/s, what is its wavelength? ______m.
- (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.If the wavelength of an electron is 4.58 ✕ 10−7 m, how fast is it moving? km/s(b) If the electron has a speed equal to 3.80 ✕ 106 m/s, what is its wavelength? mThe smallest atoms can themselves exhibit quantum mechanical behavior Calculate the de Broglie wavelength (in picometers) of a hydrogen atom traveling at 430 m/sm/s. Express your answer using three significant figures.