A molecule of ozone (O3) has mass 7.97 x 10-26 kg and is travelling with speed v = 550ms in the upper atmosphere. Calculate the wavelength associated with the free particle wave (de Broglie wavelength).
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- (a) What is the de Broglie wavelength (in m) of a proton moving at a speed of 3.30 × 104 m/s? m (b) What is the de Broglie wavelength (in m) of a proton moving at a speed of 1.92 × 108 m/s? m m (c) What is the de Broglie wavelength for an electron having a kinetic energy of 3.15 MeV?De Broglie postulated that the relationship λ =h/p is valid for relativistic particles. What is the de Broglie wavelength for a (relativistic) electron having a kinetic energy of 3.00 MeV?A proton and an electron are accelerated from rest through the same potential difference V. What is the ratio of the de Broglie wavelength of an electron to that of a proton (to two significant figures)?
- At what speed in units of m/s, will an electron have a de Broglie wavelength of 41.4 μm?Calculate the de Broglie wavelength of(a) a 50.0 kg woman jogging leisurely at 2.0 m/s,(b) a free electron with kinetic energy 2.0 MeV, and(c) a free electron with kinetic energy 20 eV.Use the proper relativistic expression when necessary.Consider a proton, an electron, and a helium nucleus (consisting of 2 protons and 2 neutrons) moving at the same speed vv. List their de Broglie wavelengths from largest to smallest. electron, proton, helium nucleus proton, helium nucleus, electron proton, electron, helium nucleus helium nucleus, electron, proton helium nucleus, proton, electron electron, helium nucleus, proton
- Z1Radiation has been detected from space that is characteristic of an ideal radiator at T = 2.728 K. (This radiation is a relic of the Big Bang at the beginning of the universe.) For this temperature, at what wavelength does the Planck distribution peak? In what part of the electromagnetic spectrum is this wavelength?The Compton Effect is a fundamental phenomenon in physics that describes the change in wavelength of electromagnetic radiation (such as light) when it interacts with charged particles, such as electrons. When photons (particles of light) collide with electrons, some of their energy is transferred to the electrons, resulting in a change in the direction and wavelength of the scattered photons. Statement: Knowing that Planck's constant is h = 6.6x10^-34 m2 kg/s, the mass of the electron is 9.11x10^-31 kg, and the speed of light is 3.0x10^8 m/ s; Calculate for an x-ray photon, with a wavelength equal to 5.0 nm (5.0x10^-9 m), which undergoes a scattering of 30º, what would be its new wavelength. Question options: a) 5.00502nm b) 5.11111nm c) 4.032nm d) 4.90000nm e) 5.00032nm
- (a) What is the de Broglie wavelength (in m) of a proton moving at a speed of 3.30 × 104 m/s? 1.2E-11 m (b) What is the de Broglie wavelength (in m) of a proton moving at a speed of 1.92 × 108 m/s? Note that the proton is moving very close to the speed of light in this case. Therefore, we cannot use the non-relativistic approximation for momentum. What is the relativistic relationship between momentum and speed? What is the gamma factor? m (c) What is the de Broglie wavelength for an electron having a kinetic energy of 3.15 MeV? X Your response differs from the correct answer by more than 10%. Double check your calculations. mDuring a certain experiment, the de Broglie wavelength of an electron is 460 nm = 4.6 ✕ 10−7 m, which is the same as the wavelength of blue light. How fast (in m/s) is the electron moving?An electron is accelerated from rest through a potential difference of 3.18 x 102 v. Determine the following for the electron. (a) speed (ignore relativistic effects) m/s (b) de Broglie wavelength m