00:01
Hi, here electron is confined in a potential well defined as v of x is equal to infinity when x is less than or equal to 0 and x greater than or equal to a and it is equal to 0 when 0 less than x less than a.
00:18
The wave function of the electron, si n, is equal to a sine n phi x by a.
00:27
We can find this constant a by normalizing the wave function.
00:30
So, integral 0 to a because we know in the interval 0 to a there is particle.
00:37
So, si n star, si n d x is equal to 1.
00:43
It states that the probability of finding electron in the interval 0 to a is 1.
00:50
On solving, we will get the constant a is equal to square root of 2 by a.
00:56
Hence we can write the wave function, si n is equal to root of 2.
01:00
2x 2xxxx and the energy is given as e is equal to n square pi square h cut square by 2 m a square and we are asked to calculate the probability density p for finding the particle in the interval 0 to a by n hence we can find the probability of particle as p is equal to integral 0.
01:34
0 to a by n, si star, si, si, d x...