An electron trapped in a one-dimensional region of length 1.0 × 10-10 m (a) In the ground state, what is the probability of finding the electron in the region from x = 0.0090 nm to 0.0110 nm? (b) In the first excited state, what is the probability of finding the electron between x = 0 and x = 0.025 nm.

 SCILAB SEM -IV

        An electron trapped in a one-dimensional region of length 1.0 × 10-10 m (a) In the ground state, what is the probability of finding the electron in the region from x = 0.0090 nm to 0.0110 nm? (b) In the first excited state, what is the probability of finding the electron between x = 0 and x = 0.025 nm.

THEORY:

CODING:

clear

clc

L =10^ -10;

x1 =0.09*10^-10; x2 =0.11*10^-10 //lmits of the given region

probGnd=(2/L)*integrate('(sin(%pi*x/L)^2)','x',x1 ,x2);

disp ('Probability in Ground State');

disp(probGnd*100);

x1 =0, x2 =0.25*10^ -10;

probExc =(2/ L)* integrate('(sin(2*%pi*x/L)^2)','x',x1 ,x2);

disp ( 'Probability In first Excited State' );

disp(probExc );

OUTPUT:

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