Test No. 2 Chapter 2 + QM Part 1

Square of the magnitude of (Psi) wave function is known as:?
Question grade : 1

1/32
Probability
Current Density
Probability density
None of these

In Hilbert space, those vectors which are normalized to unity are known as:?
Question grade : 1

2/32
Orthogonal Vectors
Improper Vectors
Proper Vectors
None of these

If wavefunction is ‘Asin(2pix)’, normalization constant ‘A’ is:?
Question grade : 1

3/32
2 Pi
sqrt(2)
1/sqrt(2)
None of these

Hermitian conjugate of momentum operator (P) is:?
Question grade : 1

4/32
iP
P
-P
None of these

|A><A| = ? (A here represent a wave function)?
Question grade : 1

5/32
Operator
Scalar
Inner Product
None of these

Hermitian conjugate of differential operator (d/dx) is:?
Question grade : 1

6/32
-d/dx
d/dx
i d/dx
None of these

An operator whose deggar is equal to inverse of the same operator,?
Question grade : 1

7/32
Projection operator
Hermitian Operator
Unitary operator
None of these

[Px, x] = ??
Question grade : 1

8/32
i h /2 Pi

  • i h /2 Pi
    ih
    None of these

Operators Lz and L^2 have common set of?
Question grade : 1

9/32
eigen functions
eigen values
expectation values
None of these

Heisenberg Uncertainty Principle is a direct consequence of __ of operators,?
Question grade : 1

10/32
Commutivity
Non-commutivity
None of these

The trace of Pauli matrices is:?
Question grade : 1

11/32
Zero
1
-1
None of these

For an e. function “exp (9ix)” , the momentum eigen value will be:?
Question grade : 1

12/32
9iā„
9ā„
-9ā„
None of these

m (d < x >/ dt) =

is the consequence of:?
Question grade : 1

13/32
Schrodingor Wave Equation
Ehrenfest Theorem
Equation of continuouty
None of these

Eigen value of an identity operator is:?
Question grade : 1

14/32
Zero
1
1 < eigen value < 0
None of these

Components of angular momentum:?
Question grade : 1

15/32
commute
does not commute

An operator can be constant of motion only if?
Question grade : 1

Oplus_0

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