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)

-first use of geothermal energy occurred more than 10,000 years ago in north america by american paleo-indians

-the first industrial use of geothermal energy began near pisa, italy in late 18th century

-in 1904, italian scientist piero ginori conti invented the first geothermal electric power plant in which steam was used to generate the power

-with the above experiment, the first geothermal plant in usa started in 1922 with a capacity of 250 kilowatts

-however, in 1946 first ground-source geothermal heat pump installed at commonwealth building in portland, oregon

-during the 1960’s, pacific gas and electric began operation of first large scale geothermal power plant in san francisco, producing 11 megawatts

-in 1973, when oil crisis began many countries began looking for renewable energy sources and by 1980’s geothermal heat pumps (ghp) started gaining popularity in order to reduce heating and cooling costs

-as effect of climate change started showing results, governments of various countries joined hands to fight against it, for which kyoto protocol was signed in japan in 1997, laid out emission targets for rich countries and required that they transfer funds and technology to developing countries, 184 countries have ratified it

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i had this question and the answer was 3.15 miles.

martina travels from school to her mom's office. from there, she walks to school. after school, she walks to the library and then to a friends house before finally ending back at home. find martina's total distance traveled.

a) 0 miles  

b) 0.4 miles  

c) 1 mile  

d) 3.15 miles