Question

An electron confined to a box has an energy of 1.33 eV . Another electron confined...

An electron confined to a box has an energy of 1.33 eV . Another electron confined to an identical box has an energy of 2.99 eV .

What is the smallest possible length for those boxes?

Science   Advanced-Physics   
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Answer #1

We know

We have energies for different n values. i.e

and

Equating above two equation

The smallest whole number pair satisfying this equality is

So, the minimum length of the box can be calculated using

So, the minimum length of the box is 1.065 nm.

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