The nuclear potential energy that binds protons and neutrons in a nucleus is often approximated by a square well. Imagine a proton confined in an infinitely high square well of length 11.8 fm, a typical nuclear diameter. Assuming the proton makes a transition from the n = 3 state to the ground state, calculate the following.
(a) the energy of the emitted photon.
(b) the wavelength of the emitted photon in fm.
(c) Identify the region of the electromagnetic spectrum to which this wavelength belongs.

a. gamma-ray
b. X-ray
c. ultraviolet
d. infrared
e. microwave

(A). 4.72*10⁷J (b). 4.2*10^-13m (c). The wavelength belongs to gamma-ray

Explanation:

L = 11.8fm = 11.8*10^-15m

h = Planck's constant

c = 3.0*10⁸m/s

M = 6.67*10^-27kg

∇E = hc / λ

∇E = E₂ - E₁ = [(h².3² / 8mL²) - (h².1² / 8mL²)]

∇E = h²/8mL² .[9-1] = 8h²/8mL²

∇E = (6.626*10^-24)² / [6.67*10^-27 *(11.8*10^-15)²]

∇E = 4.72 * 10⁷J

B. h² / mL² = hc / λ

λ = hcmL² / h² = cmL² / h

λ = [3.0*10⁸ * 6.626*10^-27 * (11.8*10^-15)²] / 6.626 * 10^-24

λ = 4.20 * 10^-23

λ = 4.20*10^-23 / (1.0*10^-10)m = 4.2* 10^-13m

C. From value of the wavelength, it lies in gamma ray region of electromagnetic spectrum.

well, you would divide 135 by 33 to get your answer. then that is how many seconds it would take. boardman should fly about 132 m or 4.090909090909091 seconds.

-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

hope this