Question

5. The energy corresponding to the first permitted energy level for a particle in an infinite potential well is called
O A. excited energy
O B. zero point energy
O C. metastable state energy
O D. none of these
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Answer 1

Explanation:

Methods include advanced oxidation processing, distillation, adsorption, ozonation, vitrification, incineration, chemical immobilisation or landfill disposal. Some materials such as some detergents may be capable of biological degradation and in such cases, a modified form of wastewater treatment can be used.

Answer 2

Answer:

The energy corresponding to the first permitted energy level for a particle in an infinite potential well is called zero point energy.

Therefore, the option (B) is correct.

Explanation:

Particle in an infinite potential well or in one dimensional box is an application of Schrodinger wave equation of quantum mechanical model.

In which a particle is moving horizontally in 1-D box of length 'L' in which the potential inside the box is zero and outside the box is infinite.

The probability of finding the electrons at the boundaries of the box is zero. By solving the time-independent Schrodinger wave equation, the energy and wave function are obtained. The eigen wave function for a particle in one dimensional box is :

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

The expression for the energy of the particle is:

$E= \frac{n^2h^2}{8mL^2}$                                                                             ...............(1)

where n is 1, 2, 3,4,........

For the first level n=1, energy will be:

$E_{1}=\frac{h^2}{8mL^2}$                                                                            ..............(2)

The lowest level (n=1) of the system is called ground level or the first permitted level where particle can be present. From the equation (2), we can say this the energy of ground state is not zero. Therefore, it is called zero point energy.