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- (100) An clectron is confined to a region of space that is L distance long (this is the "particle in a box" problem discussed in class). Draw a diagram of the allowed wave functions for the electron's first four energy levels. Also draw the square of the wave functions on your diagram. What are the wavelengths of each of these wave functions? n = 4 E4 n = 3 Ез E2 E, For the fourth energy level, what is the probability of finding the clectron in the far left quarter of the box?Are we justified in using a nonrelativistic treatment for the speed of an electron in the hydrogen atom? Note:please quickly give me this question SOLUTION ?(Quantum mechanics )Describe experiment and key observation. The X-ray diffraction pattern of aluminum foil. (b) The electron diffraction pattern of aluminum foil. The similarity of these two patterns shows that electrons can behave like X -rays and display wavelike properties What important basic principle do these two experiments prove?