He lowest energy bound state is characterized by:

a) it has zero nodes

b) it has one node

c) it has nonzero probability to be found at x > a

d) it has zero probability to be found at x > a

e) for large vo, its energy is close to h2/8ml2 - vo f) for large vo, its energy is close to - vo

g) a, d, and f

h) a, c, and e

i) b, c, and f

h)a, c, and e

The lowest energy bound state characterized by

1. The lowest energy bound state  has zero nodes

2.The lowest energy bound state has nonzero probability to be found at x > a.

3.For large Vo, its energy is close to h2/8mL2 - Vo f) for large Vo, its energy is close to - Vo

Explanation:

As we know that when energy id high then states become unstable so the only lowest energy is stable and all other state is unstable.these unstable states try to reach on the lowest energy bound state.

The lowest energy bound state characterized by

1. The lowest energy bound state  has zero nodes

2.The lowest energy bound state has nonzero probability to be found at x > a.

3.For large Vo, its energy is close to h2/8mL2 - Vo f) for large Vo, its energy is close to - Vo

So the option h is correct.