Question

For a particle in one dimensional box, write the equations for calculating the energy values corresponding to
1. n=1
2. n=2
3. n=3

Answer 1

Answer:

The energy of a particle in the 1D box is represented by a formula:

E=n2h2/8mL2

where h is the Planck constant, m is the mass of a particle, and L is the dimension (length) of the box.

So for n=1, n=2 and n=3 the energy values will be h2/8mL2, h2/2mL2 and 9h2/8mL2 respectively.

Answer 2

The equations for calculating the energy in the 1D box is given as $\dfrac{n^2h^2}{8mL^2}$.

• For a particle in a one-dimensional box, the energy expression is given as $\dfrac{n^2h^2}{8mL^2}$.
• Where n is the transitional quantum number.
• h is the Plank's constant.
• m is the mass of the particle in a 1D box.
• L is the length of the 1D box.
• For n=1,2 and 3 the energy of the particle in a 1D box is given as-
• $\dfrac{h^2}{8mL^2}$
• $\dfrac{4h^2}{8mL^2}$
• $\dfrac{9h^2}{8mL^2}$