Question

Following statement is not correct about a moving particle in one-dimensional box :

(i) The potential energy is zero inside the box. (ii) The potential energy is infinity inside the box.
(iii) The energy of a particle (electron) is quantized.
(iv) The lowest possible energy is called the zero point energy.​

Answer 1

Answer:

iii) The energy of a particle (electron) is quantized.

(iv) The lowest possible energy is called the zero point energy.

Explanation:

The energy of a particle is quantized and. The lowest possible energy of a particle is NOT zero. This is called the zero-point energy and means the particle can never be at rest because it always has some kinetic energy

Answer 2

Answer:

A fundamental quantum mechanical approximation known as a particle in a 1-dimensional box describes the translational motion of a single particle that is confined inside an infinitely deep box from which it cannot escape.

Explanation:

The potential is infinite between x=0 and x=L or beyond that; it is zero inside the well (or Box). Additionally, because potential energy is independent of time, the time-independent Schrodinger equation may be used, with the potential energy value being set to zero. So, the first statement is correct.

Thus, the potential energy is not infinite inside the box. So,  the second statement is not correct about a moving particle in a one-dimensional box.

The energy of a particle (electron) is quantized. This statement is also correct.

The lowest possible energy is called zero-point energy.​ This statement is also correct.

Hence, the incorrect statement about a moving particle in a one-dimensional box (ii) The potential energy is infinity inside the box.

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