Question

The Hamiltonian of a particle having mass 'm' in one
dimension is described by H= P2 ++ mW 232+2012.
What is the difference between the energies of the
first two levels ?​

Answer 1

Explanation:

Given that, Two liquids consider liquid A and liquid B having same masses but are having different densities p1 and p2. When the two liquids are mixed, then the density of their mixture i

Density of liquid A = p1 and its mass = m

Density of liquid B = p2 and its mass = m

Because both the liquids are having equal mass

Therefore,

Volume of liquid A VA\quad =\quad \frac { m }{ p1}VA=

p1

m

Volume of liquid B VB\quad =\quad \frac { m }{ p2}VB=

p2

m

Hence the total volume of the mixture= V =\quad VA+VB\quad =\quad (\frac { m }{ p1} )+(\frac { m }{ p2} )V=VA+VB=(

p1

m

)+(

p2

m

)

Therefore its total mass is denoted as mA + mB;

Being both the masses of Liquid A and B are same then m+m = 2m

Density of mixture = mass of mixture /volume of mixture

P\quad =\quad \frac { 2m }{ (\frac { m }{p1 } )} +(\frac { m }{p2} ) (By simplifying)P=

(

p1

m

)

2m

+(

p2

m

)(Bysimplifying)

P\quad =\quad \frac { 2p1p2}{p1} +p2P=

p1

2p1p2

+p2

Hence, the density of mixture isP\quad =\quad \frac { 2p1p2}{ p1 } +p2P=

p1

2p1p2

+p2 "

Answer 2

Hamiltonian particles with a mass of 'm' on one side are defined by H = P2 ++ mW 232 + 2012:

• Hamiltonian particles with a mass of m in the same size are defined as p² 1 - + mox² + 2ux.
• Hamiltonian particles with a mass of 'm' on one side are defined by H = P2 ++ mW 232 + 2012.

Differences between the strengths of the first two levels:

• If the electron is in the first level of power, it must have a power of -13.6 eV exactly.
• If it is in the second level of power, it must have a power of -3.4 eV.
• The electron in the hydrogen atom cannot have -9 eV, -8 eV or any other value in between.
• Suppose an electron wants to jump from the first energy level, n = 1, to the second energy level n = 2.
• Electrons can move between these energy levels by absorbing or releasing energy.
• When energy is supplied by an atom, a low-energy electron can be transferred to a higher energy level.
• The energy levels indicate the arrangement of the orbitals around the atom in terms of the strength of those orbitals.