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1. The attractive force between an electron and proton due to gravity is Gmpme /

ID: 1676120 • Letter: 1

Question

1. The attractive force between an electron and proton due to gravity is Gmpme / r2 , where me = 0.9x10-30 kg, mp = 1.67x 10-27 kg, and G = 6.67x10-11 m3 / kg.s2 . What is the lowest gravitational Bohr radius? 2. Suppose that the value of n in a radiative transition in hydrogen changes only by unity, as is suggested by the correspondence principle. Estimate for what range of values of n the photon that is emitted will have wavelengths in the visible range of 400 to 650 nm? 3. The muon with mass mµ = 209 me, acts as a heavy electron. The muon can bind to a proton to form a muonic atom. Calculate the ionization energy of this atom, and calculate the radius of the muonic atom in its ground state. Ignore reducedm mass effects. 4. The one electron Bohr theory also applies to heavier atoms from which all but one electron have been stripped. We hwvw referred to this kind of atom as a generalized hydrogen atom or hydrogen-like atom. Consider carbon, for which Z=6, with only one electron present.What is the wavelength of the photon emitted in the transition from n = 3 to n = 2? Compare this value with the corresponding one for ordinary hydrogen atom. 5. . What is the ratio of Rydberg value for doubly ionized lithium, a one electron atomwith a nucleus of charge 3e, to that of hydrogen? Include reduced mass effects in your calculations. 6. Explain, what made Bohr to think discreteness in his atomic model.

Explanation / Answer

This is HW of Modern Physics presently in METU, isn't it?    ;) Actually, I study there, if you want help then its mypleasure... Come to METU library (2B) I am there all thetime. Who are you?(Let me know you first)