Question

calculate thr energy of an electron in its ground state in a potential well of width 2 Angestrom and infinite depth​

Answer 1

Answer:

calculate thr energy of an electron in its ground state in a potential well of width 2 Angestrom and infinite depth nikitayadav112003 is waiting for your help. Add your answer and earn points.

Explanation:

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Answer 2

Answer:

The energy of an electron in the ground state in an infinite  potential well of width 2 Å is $0.13*10^{-17}J$

Explanation:

• The nth state energy of a particle in an infinite potential well of width L is given by the formula

                                $E_{n} =\frac{n^{2} h^{2} }{8mL^{2} }$

       where,

       $n$-state of the particle

       $m$-the mass of the particle

       $h$-$6.26*10^{-34}Js$Planck's constant

      $L$-width of the potential well

From the question, it is given that

the electron is in the ground state that is $n=1$

the width of the potential well is $L=2*10^{-10}m$

we know that mass of an electron $m=9.1*10^{-31} kg$

substitute these values to get energy as follows

$E_{2} =\frac{(6.626*10^{-34} )^{2} }{8*9.1*10^{-31} (2*10^{-10}) ^{2} }=0.31*10^{-17}J$