Solving schrodinger's wave equation for a hydrogen atom, we obtain the lowest energy state when n = 1,1 = 0, and m = 0, the corresponding wave function of the electron is given by 4. 100-jna0 where ao = mog? the radial probability density function pni(r), or the probability of finding the electron at a particular distance from the nucleus, is 4πτ2(ψ100 plot the probability density function pa(r) as a function of r/ao . proof that the most probable distance from the nucleus is the same as that predicted by bohr's model a. b.

Newton's law of cooling states that the rate of change in the temperature t(t) of a body is proportional to the difference between the temperature of the medium m(t) and the temperature of the body. that is, startfraction dt over dt endfraction equals upper k left bracket upper m left parenthesis t right parenthesis minus upper t left parenthesis t right parenthesis right bracket , where k is a constant. let kequals0.04 left parenthesis min right parenthesis superscript negative 1 and the temperature of the medium be constant, m(t) font size decreased by 3 equivalent font size decreased by 3 294 kelvins. if the body is initially at 369 kelvins, use euler's method with hequals0.1 min to approximate the temperature of the body after (a) 30 minutes and (b) 60 minutes.