71: φ=eikx what will be the momentum operator?
a) iħ
b) ik
c) ħ/i
d) none of these
72: Dimension of angular momentum resemble with
a) energy
b) momentum
c) angular momentum
d) none of these
73: If B & A are hermition operator then ( AB + BA ) is equal to?
a) Anti hermition
b) Skew hermition
c) Hermition
d) None of these
74: Ѱ=∂ika2∂z.x
a) α4
b) α2
c) kα2
d) none of these
75: In hermition operator the Eigen value?
a) Real
b) Complex
c) Both
d) None of these
76: Time dependent S.W.E. ħ22/ x2
a) E Ѱ
b) Ĥφ
c) All
d) None of these
77: <S2> – <S>2 =? What will be the answer?
a) <∆S>
b) <∆S>2
c) <X>
d) None of these
78: |Ѱ|2 tell us the
a) Probability
b) Probability density
c) Both
d) None of these
79: If the relation (<Ѱ|φ>*)* =?
a) (Ѱ|φ)*
b) (Ѱ|φ)
c) <Ѱ|φ>
d) < φ|Ѱ>
80: If the relation dwdk (w angular frequency) ?
a) Vphase
b) Vclassic
c) Vgroup
d) All of these
81:4 if the operator P and T have common Eigen function then they are
a) Orthogonal
b) Real
c) Commutative
d) Skew hermitian
82: <φ|Ѱ> means the projection of
a) φ on Ѱ
b) Ѱ on Ѱ
c) φ on φ
d) None of these
83: if |Ѱ>= ( 33 ) |φ1>+ ( 13 ) |φ2>+ ( 23 ) |φ3> then probability of finding the
system in state φ1 at a later time t is
a) 1/3
b) 1/9
c) 2/9
d) None of these
84: [mA, nB] is equal to ( where m and n are real constant)
a) m[A, B]
b) (m+n) [A, B]
c) mn[A, B]
d) none of these
85: if A Ѱ1=5 Ѱ1, B Ѱ2=5 Ѱ2, A Ѱ3=5 Ѱ3. Tthen which of the following is correct
a) Ѱ1 is eigen state of B
b) Ѱ2 is and Ѱ3 are degenerate
c) Ѱ1 and Ѱ2 are degenerate
d) Ѱ1 and Ѱ3 are degenerate
86: [p, x] = ?
a) 0
b) ħ
c) – ħ
d) None of these
87: if Ѱ(x,0) is not an eigen state of Hamiltonian then Ѱ(x,t) can be obtained by
a) n|bn|2En
b) nbn Ѱ(x,0)
c) Aeikx
d) None of these
88: [A, meA]
a) m[A, ( 1+A)!]
b) 1
c) [A, m]
d) None of these
89: if wave function is normalized then probability P(En)=?
a) nbn
b) n|bn|2
c) |bn|2
d) None of these
90: dirac delta function is a mathematical function that can be used as an eigen state of
a) Momentum
b) Position
c) Angular momentum
d) Commutation
