A particle has a wavefunction that is $0$ everywhere except between x$=0$ and

x$=$L$,$ where it has a constant value A$.$ What is the average value of the position of the particle?

What is the standard deviation of its position? Finally, repeat your calculations for the case

where this constant wavefunction is replaced by the wavefunction for a particle in a box in the

ground $($n$=1)$ state? Explain the results of your calculations. Recall that standard deviation of a

variable x is given by $=$x and $2$

$$x$2$

$($$)=$

$1$

$2$

$(1$ cos cos $(2$$))$