What is the quantum number n of a particle of mass m confined to a one-dimensional box of length L when its energy is 2 h2/mL2?
A)2
B)8
C)4
D)1
E)16

Question

Quizplus · Accepted Answer

The energy of a particle confined to a one-dimensional box is given by the equation En = (n^2*h^2)/(8*m*L^2), where n is the quantum number, h is Planck's constant, m is the mass of the particle, and L is the length of the box. Solving for n, we get n = sqrt(8*m*L^2*E)/h. Substituting the given values, we get n = sqrt((8*m*L^2*2*h^2)/(m*L^2))/h = sqrt(16) = 4. Therefore, the quantum number n is 4, and the best choice is C.

What Is the Quantum Number N of a Particle of Mass