Evaluate the ratio of the de Broglie wavelength of electron to proton when (m₂=9.11 × 10-³¹ kg, mp=1.67 × 10-²7 kg) (i) both have the same kinetic energy. (ii) The electron kinetic energy is 1000 eV. and the proton
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- -27 (a) What is the wavelength (in nm) of a photon that has a momentum of 4.50 x 10 kg · m/s? nm (b) Find its energy in eV. eV(i) Is an electron a particle? Is it a wave? Explain your answer citing relevant experimental evidence. Calculate the De-Broglie wavelength of an electron having a kinetic energy of 1000eV. Compare the result with wavelength of X-rays having the same energy.(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.
- See attached.(a) If an electron makes a transition from the n = 7 Bohr orbit to the n = 3 orbit, determine the wavelength of the photon created in the process. nm(b) Assuming that the atom was initially at rest, determine the recoil speed of the hydrogen atom when this photon is emitted. m/sFor x rays with wavelength 0.0300 nm, the m = 1 inten- sity maximum for a crystal occurs when the angle u in Fig. is 35.8°. At what angle u does the m = 1 maximum occur when a beam of 4.50 keV electrons is used instead? Assume that the electrons also scat- ter from the atoms in the surface plane of this same crystal.
- X-rays with a wavelength of 0.004 nm scatter from a block of graphite with an angle of 20°. Determine: 1) The change in wavelength of the X-ray; 2) The kinetic energy of the electron; 3) the de Broglie wavelength of the scattered electron.3-47. Data for stopping potential versus wavelength for the photoelectric effect using sodium are λ nm V₁ V 200 300 400 500 600 2.06 1.05 0.41 0.03 4.204. (a) Calculate the de Broglie wavelength of An electron travelling at 4 x 106 m/s and (i) (ii) A car of mass 1.1 × 106 g travelling at 15 m/s. (b) Comment on the significance of the relative magnitude of your answers in part (a). Note: the diameter of an atom is on the order of 10-10 m.