(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.
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(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.
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- Calculate the de Broglie wavelength of a 90 kgperson who is running at a speed of 5.25 m/s.Answer in units of m.in visable region The kinetie energy of a proton and that of an a-partiele are 4 eV and 1 ev. respectively. The ratio of the de-Broglie wavelengths associated with them, will be 9. (a) 2:1 (b) 1:1 (e) 1:2 (d) 41 10 When(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.
- The photoelectric current in a photoelectric cell can be reduced to zero by a stopping potential of 1.8 volt. Monochromatic light of wavelength 2200 A is incident on the cathode. Find the maximum kinetic energy of the photoelectrons in joules. [Charge on electron = 1.6 × 10-¹9 ClIn an electron microscope, we wish to study particles of diameter about 0.10 μm (about 1000 times the size of a single atom). (a) What should be the de Broglie wave- length of the electrons? (b) Through what potential dif- ference should the electrons be accelerated to have that de Broglie wavelength?i) Find the de Broglie wavelengths of a) an electron (m₂ = 9.1 x 10-31 kg) accelerated through a potential difference of 170 volts, and b) A 350 gm baseball moving with a speed of 200 m/s. Comparing the results explain why the wave nature of matter is not more apparent in daily observations
- The threshold wavelength for a certain metal is 5000 ACalculate the maximum K.E. of the photoelectrons emitted, when ultra violet radiation of wavelength 2500 A falls on it. (1 eV, h and C are given).For 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.The minimum uncertainty Ay in the position y of a particle is equal to its de Broglie wavelength. Determine the minimum uncertainty in the speed of the particle, where this minimum uncertainty Avy is expressed as a Avy percentage of the particle's speed vy Percentage = × 100 % Vy ignored. Number Units 6). . Assume that relativistic effects can be
- 4. (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.The work function for the surface of aluminium is 4.2 eV. How much potential difference will be required to stop the emission of maximum energy electrons emitted by light of 2000 A wavelength. What will be the wavelength of that incident light for which stopping potential will be zero.