Solution: In a one-dimensional particle in a box, for n = 6, how many wavelengths equals the size of the box?1.) 12.) 2.53.) 64.) 35.) 12

Solution: In a one-dimensional particle in a box, for n = 6, how many wavelengths equals the size of the box?1.) 12.) 2.53.) 64.) 35.) 12

In a one-dimensional particle in a box, for *n* = 6, how many wavelengths equals the size of the box?

1.) 1

2.) 2.5

3.) 6

4.) 3

5.) 12

We are being asked to determine how many wavelengths equals the size of the box in a one-dimensional particle in a box where n = 6.

Let’s draw the box where **n = 6**. We can think of the “**n value**” as the nodes (crests and troughs) of the wave.