__ 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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