Suppose that a hydrogen atom is in the state |psi :. Which one
of the following is the coordinate representation of the wavefunction of the state?
a. psi (r, heta ,phi )=-((1)/(2a_(0)))^((3)/(2))(r)/(2sqrt(2pi )a_(0))e^(-(r)/(2)a_(0))e^(iphi )sin heta
b. psi (r, heta ,phi )=((1)/(2a_(0)))^((3)/(2))(1-(r)/(2a_(0)))e^(-(r)/(2)a_(0))sin heta
c. psi (r, heta ,phi )=((1)/(2a_(0)))^((3)/(2))(1-(r)/(2a_(0)))sqrt((3)/(2pi ))e^((r)/(2)a_(0))e^(-iphi )sin heta
d. psi (r, heta ,phi )=((1)/(2a_(0)))^((3)/(2))(r)/(2sqrt(pi )a_(0))e^(-(r)/(2)a_(0))cos heta
Suppose that a hydrogen atom is in the state with the coordinate representation of
psi (r, heta ,phi )=-i((1)/(2a_(0)))^((3)/(2))(r)/(2sqrt(pi )a_(0))e^(-(r)/(2)a_(0))sin heta sinphi .
Which one of the following is the state of the hydrogen in the ket representation?
a. |psi :
b. |psi :
c. |psi :
d. |psi :
Suppose a hydrogen atom is in the state
psi (r, heta ,phi )=(1)/(sqrt(3))|n=1,l=0,m=0:
Which one of the following is the probability of measuring hat(L)_(z)=-â„Ź ?
a. (1)/(2)
b. (1)/(3)
c. (2)/(3)
d. 1
1. Suppose that a hydrogen atom is in the state |) = [n = 2, l = 1,m = 0). Which one of the following is the coordinate representation of the wavefunction of the state?
a.4(r,0,)=
e-r/2ao ei4 sin 0 2/2710
b.r,0,)=
e r/2ao sin 0
c.(r,0,)
3-e-r/2aoe-i4 sin 0
d.r,0,)=
r/2ao cos 0
2. Suppose that a hydrogen atom is in the state with the coordinate representation of
r/2ao sin 0 sin $. 2/7a0
p(r,0,)
Which one of the following is the state of the hydrogen in the ket representation?
(I=u'I=1'Z=u|E/+(0=u'I=1'Z=u|f=(4|e b.|y)=|n=2,l=1,m=1) (I=u'I=1'Z=u|T+(I-=u'I=1'Z=u|f=(4h| I=11=1=u|-I=u1=1'=u|f=4|P
3. Suppose a hydrogen atom is in the state
Which one of the following is the probability of measuring Lz = --h? a.1/2 b.1/3 c. 2/3 d.1