A 1.00 g marble is constrained to roll inside a tube of length L = 1.00 cm. The tube is capped at both ends. Modelling this as a one-dimensional infinite square well, determine the value of the quantum number n, if the marble is initially given an energy of 1.00 mJ. What will be the excitation energy required to promote the marble to the next energy state?

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A 1.00 g marble is constrained to roll inside a tube of length L
= 1.00 cm. The tube is capped at both ends. Modelling this as a
one-dimensional infinite square well, determine the value of the
quantum number n, if the marble is initially given an energy of
1.00 mJ. What will be the excitation energy required to promote
the marble to the next energy state?
n = 4.27 x 1028, E = 4.68 x 10-32 J
n = 1.826 x 1057, E = 2 x 10-3J
%3D
n = 4.62 x 1055 , E = 1.99 x 10-3 J
%3D
n = 4.27 x 1028,E = 2.34 x 10 32 J
%3D
Transcribed Image Text:A 1.00 g marble is constrained to roll inside a tube of length L = 1.00 cm. The tube is capped at both ends. Modelling this as a one-dimensional infinite square well, determine the value of the quantum number n, if the marble is initially given an energy of 1.00 mJ. What will be the excitation energy required to promote the marble to the next energy state? n = 4.27 x 1028, E = 4.68 x 10-32 J n = 1.826 x 1057, E = 2 x 10-3J %3D n = 4.62 x 1055 , E = 1.99 x 10-3 J %3D n = 4.27 x 1028,E = 2.34 x 10 32 J %3D
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