1. What is the final velocity of an initially at rest electron as it accelerates in a 100kV electric field? What is the electron's de Broglie wavelength at this energy? Justify your answer.
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- Hw10 q6 An X-ray photon scatters from a free electron at rest at an angle of 125 ∘ relative to the incident direction. a.If the scattered photon has a wavelength of 0.340 nm, what is the wavelength of the incident photon? ( nm) b.Determine the energy of the incident photon and the scattered photon. ( keV) c.Find the kinetic energy of the recoil electron. (eV)1. If it moves at a speed of 900 m/s, what is the wavelength (a) electrons; (b) 25000 kg aircraft; (c) Which of the two acts as a matter wave? explain! 2. Green light has a wavelength of 550 nm, through what potential difference must the electrons be accelerated to have a wavelength like this?3.1. What is the de Broglie wavelength of an electron that has been accelerated through a potential difference of AV = 150 V?
- Please don't provide handwritten solution...An electron has a wavelength of 400 nm (the same as blue light). A. What is the electron’s momentum? B. What’s the minimum uncertainty in the electron’s position if its uncertainty in its momentum is 10-28 kg m/s? Compare this value to its wavelength.= 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.