Explain the concept of duality in physics, focusing on the wave-particle duality of light and matter. How do experiments like the double-slit experiment illustrate this duality?

A single beam of electrons shines on a single slit of width 9.5nm. A diffraction pattern (of electrons!) is formed on a screen that is 7.6m away from the slit. The distance between the central bright spot and the first minimum is 1.9cm.What is the wavelength (nm) of the electrons?Make use of the small angle approximation

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hi, can you solve this ? Calculate the average kinetic energy of ejected electrons in units of kJ / mol when a light with a wavelength of 215 nm hits a metal surface with a work function of 435 kJ / mol.

Electron diffractometers help us understand the structure of matter. Material is covered in an array of parallel nano-scale metal wires with unknown spacing. A beam of electrons, accelerated through a potential of 20.80 kV produces a pattern of electron impacts on a distant screen with a central bright peak with two smaller peaks. The angular position of the smaller peaks is 25.20 degrees relative to the central peak. What is the spacing of the wires? You may treat the electron as non-relativistic. (Answer in meters)

When we model light (EM radiation) as a particle, we call it a photon a packet of energy. How does this work with the model of light as a wave? To think through this, answer the following: If the intensity of a beam of light is related to the number of photons passing per second, how would you explain the intensity of light using the model of light as a wave? What feature (wavelength, frequency, amplitude, oscillation, etc.) can be a measure of intensity and why do you think so? Enter your answer here

Question in the AttachmentsThere are two parts, thank you.

De Broglie postulated that the relationship A = 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? %3D

An electron microscope uses electrons accelerated by a potential difference 50 kV. Calculate the de Broglie wavelength of the electrons. Compare the resolving power of an electron microscope with that of an optical microscope, which uses visible light of wavelength 550 nm. Assume the numerical aperture of the objective lens of both microscopes are the same.

Determine the de Broglie wavelength for i. an electron (mass = 9.1 x 10-31 kg) moving at a speed of 6.0 × 10 m/s and ii. a baseball (mass = 0.15 kg) moving at a speed of 13 m/s. iii. Can you explain why does the baseball not show any diffraction pattern if it passes through the window of width ~ 1m?