Acceptable solution for Schr$$dinger equation wavefunction for free moving particle that is confined in the rigid walled box, must follow the following except:$-$

a$.$

momentum of particle inside the wall is zero

b$.$

the simplest wavelength travelled by particle is $/2$

c$.$

Potential energy of the particle moving between the wall in the box is zero

d$.$

Inside the wall, potential kinetic of the particle is infinite.

e$.$

The wavefunction decay exponentially with the distance inside the wall.