Determine the probability of finding the electron at any distance farther than 2.70a, from the nucleus of a hydrogen atom in the 1s (that is, ground) state. p =
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- ground state wave function of Hydrogen (with l=m=0), calculate the electron’s average distance from the proton in terms of the Bohr radius, a ∼0.5 ×10−10m.Given a H atom in its 1s state, compute the probability that the electron is found within 0 and 1.8 armstrong from the nucleus. SHOW FULL AND COMPLETE PROCEDURE IN A CLEAR AND ORDERED WAY(1) Find the average orbital radius for the electron in the 3p state of hydrogen. Compare your answer with the radius of the Bohr orbit for n=3. (2) What is the probability that this electron is outside the radius given by the Bohr model?
- For the hydrogen atom in the 4d excited state find the possible values of n,l,m,m,, and mj. Give the term notation for each possible configuration.Calculate the wavelength of the third line of the Paschen series for hydrogen.Calculate the average orbital radius of a 3d electron in the hydrogen atom. Compare with the Bohr radius for a n 3 electron. (a) What is the probability of a 3d electron in the hydrogen atom being at a greater radius than the n 3 Bohr electron?
- The radial probability density of a hydrogen wavefunction in the 1s state is given by P(r) = |4rr2 (R13 (r))²| and the radial wavefunction R1s (r) = a0 , where ao is 3/2 the Bohr radius. Using the standard integral x"e - ka dx n! calculate the standard deviation in the radial position from the nucleus for the 1s state in the Hydrogen atom. Give your answer in units of the Bohr radius ao.Needs Complete typed solution with 100 % accuracy.Suppose you measure the angular momentum in the z-direction L, for an /= 2 hydrogen atom in the state | > 2 > |0 > +i/ |2 >. The eigenvalues of %3D V10 10 Lz are – 2h, -ħ, 0, ħ, 2ħfor the eigenvectors | – 2 >, |– 1>, |0 >, |1 >, |2 >, respectively. What is AL,? V31 10 7 19 25