Find the longest wavelength present in the Balmer series of hydrogen, corresponding to the Ha line.
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Find the longest wavelength present in the Balmer series of hydrogen, corresponding to the Ha line.
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- Give four valid sets of quantum numbers for a 5f electron.The wavelengths of the Brackett series for hydrogen are given by n = 5, 6, 7,.... (a) What are the wavelengths of the first three spectral emission lines in this series (in nm)? (Enter them in order of decreasing wavelength.) largest value nm nm smallest value nm (b) In which band of the electromagnetic spectrum do these lines appear? visible light region O infrared region O ultraviolet region O gamma ray region O x-ray regionCalculate 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.Determine the wavelength if the electron is excited n=2 for Helium (Z=2).( E=(-13.6ev)Z2/n2 and 1/mu=1/hc(En-En-1)