Yes

No

N

N²

N³

Remain Constant

Increase

Decrease

1

2

3

4

Ground State

Excited State

Stationary State

A The lowest possible energy for a particle in a box is zero and is known as zero-point energy

B The lowest possible energy for a particle in the box is not zero and is known as zero-point energy.

x > 0

x < 0

0 < X < L

x > L

$\sqrt{\frac{2}{L}}\sin\ \frac{nx}{L}$

$\sqrt{\frac{2}{L}}\ \sin\ \frac{n\pi x}{L}$

$\sqrt{\frac{2}{L}}\sin\ \frac{x}{L}$

$\sqrt{\frac{2}{L}}\ \sin\ \frac{\pi x}{L}$

$\frac{L}{2}$

$\frac{2}{L}$

$\sqrt{\frac{L}{2}}$

$\sqrt{\frac{2}{L}}$

1.60 x 10^-9 J

6.02 x 10^-24 J

8.26 X 10^-24 J