please show all U nits and use S ig. Figs and flow of calulations. Background :

Question

please show all Units and use Sig. Figs and flow of calulations.

Background: A particle in a box has energies given by the formula

En = n2h2/(8mL2) h=6.626 069 57 x 10-34 Js mass of neutron= 1.674 927 351 x 10-27 kg

Question: Calculate the energies in J for the following situations: a. n=1 and L =1.0 nm for a neutron b. n=2 and L =1.0 nm for a neutron c. n=3 and L =1.0 nm for a neutron d. n=1 and L =1.0 mm for a neutron e. n=2 and L =1.0 mm for a neutron f. n=1 and L =1.0 mm for a mass of 1.0 g g. n = 2 and L = 1.0 mm for a mass of 1.0 g

Then, Calculate the magnitude or absolute value of the difference in energy for: b-a c-b e-d   g-f

And Finally, Convert these energy differences to frequency. (We assume that electromagnetic radiation is given off when the particle drops from the upper energy level to the lower energy level),

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