Consider an electron in a nanowire (approximated by a one-adimensional box) that goes from the state with n=5 to the state with n = 2. In doing so, it emits a photon with a frequency of 6.0 x 10^14 s^-1. Find the length of the wire in nm.

Chemistry: An Atoms First Approach
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Author:Steven S. Zumdahl, Susan A. Zumdahl
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Chapter2: Atomic Structure And Periodicity
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Problem 130E: 'The bright yellow light emitted by a sodium vapor lamp consists of two emission Lines at 589.0 and...
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Consider an electron in a nanowire (approximated by a one-adimensional box) that goes from the state with n=5 to the state with n = 2. In doing so, it emits a photon with a frequency of 6.0 x 10^14 s^-1. Find the length of the wire in nm.

Expert Solution
Step 1

The energy equation for electron present in nanowire is as follows,

nh2
Particle in IDE, 8mL2
e at n 5
5(6.626x10-34)
58x(9.11x103")L2
e at n 2
2
2 (6.626x103)
E2
8x(9.11x1031)L2
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