Chemistry, asked by jeniepzi, 2 months ago

an electron is trapped in a one dimensional box of length 0.1nm . calculate the energy required to exict an electron from it's ground stage to 5th stage​

Answers

Answered by priyanshupriyal2008
0

Answer:

POEM - MENDING WALL :- Q4. Though the narrator gives two reasonable and practical reasons for the

destruction of parts of the wall, he still injects a sense of mystery and magic into

the experience. b. Quote a line later in the poem when he returns to this theme.

C.

Explain what the poet is trying to convey here through his narrator.

PLEASE DON'T SPAM ITS VERY MUCH URGENT

Answered by niteshrajputs995
1

Answer:

E4 = 601.76 eV

Explanation:

From the above question,

They have given :

  An electron is bound in one-dimensional infinite well of width 1 × 10^{-10} m. Find the energy values in the ground state and first two excited states.

Potential well of width (L) =  1 × 10^{-10} m.

The first four eigenvalues of an electron confined in a one-dimensional box of length 0.1 nm. The eigenvalues can be found by solving the time-independent Schrodinger equation for the wave function of the electron inside the box.

Energy level of nth state = En = [ h.^{2} / ( 8 m L.^{2} ) ] n.^{2}

En = 37.61 n2 eV

Hence ,

            E1 = 37.61 eV

             E2 = 37.61 × 4

                  = 150.44 eV

             E3 = 37.61 × 9

                   = 338.5 eV

             E4 = 37.61 × 16

                  = 601.76 eV

where h = 6.626 × 10-34 J , planck's constant

The equation takes into account the energy of the electron and its wave-like behavior, as well as the boundaries of the box. The first four eigenvalues can be found by setting up the equation and solving for the energy levels of the electron.

The answer will be in electron volts, which is a unit of energy commonly used in physics.

E4 = 601.76 eV

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