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

Question

Quizplus · Accepted Answer

The wavelength of a particle in a box is given by λ = 2L/n, where L is the length of the box and n is the quantum number. For n = 6, the number of wavelengths that equal the size of the box (i.e. one wavelength equals L) is given by:
nλ = L
6(2L/6) = L
2L = L
So, we need 3 wavelengths to equal the size of the box. Therefore, the answer is choice B.

In a One-Dimensional Particle in a Box,for N = 6,how