Question: (a) Show that for large n, the fractional difference in energy between state n and state n + 1 for a particle in a box

(a) Show that for large n, the fractional difference in energy between state n and state n + 1 for a particle in a box is given approximately by

E-E, 2 +1 En

(b) What is the approximate percentage energy difference between the states n1 = 1000 and n2 = 1001?

(c) Comment on how this result is related to Bohr's correspondenceprinciple.

E-E, 2 +1 En

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