Physics, 11.07.2019 00:10 emilyrobles
In the usual treatment of the hydrogen atom we approximate the proton as a point charge, i. e. h2 e2 1 = h 2m 1 where with ground-state wave function /100(r) = exp (-r/ag), and ground-state energy e\00 = -neo 2a0 e2 ao 0.529 x 10-10m is the bohr radius. we can investigate the effect of the finite size of the nucleus on the energy levels of the hydrogen atom by regarding the proton as a thin uniform spherical shell of charge (z = +1) of radius r (~ 10-15m). in this case the potential is given by: 4meo v(r) = r > r. (a) by casting the problem into the form h = h()+v(1), where h0) is the hamiltonian corresponding to the point charge approximation, write down the perturbation potential v(1(r) (b) working in the limit r < < ao, calculate the first order correction to the ground-state energy, e00, to first order in r/ao. find the magnitude of the fractional change in energy relative to the point charge approximation and comment on the result. (hint - use e" ~1x + o(x2), for |x| < < 1)
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Physics, 22.06.2019 16:30
In the nineteenth century, gregor mendel first determined some basic rules of genetics that have been observed throughout all types of life. no observations have disproved these basic rules of genetics. charles darwin developed the idea of biological evolution around the same time, but he was unaware of mendel’s discoveries in genetics. over a century later, darwin’s idea of evolution was modified in order to incorporate mendel’s rules of genetics along with the other evidence that darwin had used. what is most likely the relationship between mendel’s rules of genetics and darwin’s idea of biological evolution? a.)mendel’s genetics states laws that are now part of the theory of biological evolution.b.)biological evolution states laws that are part of mendel’s theory of genetics.c.)mendel’s genetics replaced darwin’s entire concept of biological evolution.d.)biological evolution is a law that explains why all genetics exist.
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In the usual treatment of the hydrogen atom we approximate the proton as a point charge, i. e. h2 e2...
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