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- A radiation of wavelength 360 nm falls on potassium metal and has a work function of 2 ev. Find 1- the maximum kinetic energy of the emitted electrons. 2- The stopping voltage of the emitted electrons(b) Evaluate the ratio of the de Broglie wavelength of electron to that of 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 kinetic17. Electrons with energy 80 keV are incident on the tungsten target of an X-ray tube. K-shell electrons of tungsten have 72.5 keV energy. X-rays emitted by the tube contain only (a) a continuous X-ray spectrum (Bremsstrahlung) with a minimum wavelength of = 0.155 A (b) a continuous X-ray spectrum (Bremsstrahlung) with all wavelengths. 3 (c) the characteristic X-ray spectrum of tungsten. (d) a continuous X-ray spectrum (Bremsstrahlung) with a.. minimum wavelength of 0.155A and the characteristic X-ray spectrum of tungsten. C
- Find the radius, speed and de Broglie wavelength of an electron in the n = 3 state of a hydrogen atom according to Bohr's model of the atom.= 1. Photoelectric effect. In a photoelectric experiment in which monochromatic light of wave- length \ falls on a potassium surface, it is found that the stopping potential Vstop is 1.9 V for > 300 nm and 0.88 V for \ = 400 nm. Imagine we know neither Planck's constant, nor the workfunction for potassium, nor the threshold frequency fo. But assume we do know the elementary charge e 1.60 × 10-19 C and want to test the theoretical prediction of Eintsein's theory. = (a) From the given data, calculate a value for Planck's constant, h. (b) From the same data, find the workfunction Eo and the threshold frequency fo for potas- sium. (c) Then compare your results for h and Eo to their known values (see Knight, Table 38.1 for the work function). (d) Plot eVstop as a linear function of frequency f. Include the information you have found in parts (a) and (b) as well as the experimental data.