Which of the following is the correct expression for the steady-state form of Schrödinger wave function?

\(P\Psi= -i\frac{\hbar}{2m}\frac{\partial\Psi}{\partial x}+U\Psi\)

\(E\Psi= -i\frac{\hbar}{2m}\frac{\partial^2\Psi}{\partial x^2}+U\Psi\)

\(E\Psi = -i\frac{\hbar^z}{2m}\frac{\partial\Psi/\partial x}+U\Psi\)

\(E\Psi = -i\frac{\hbar^z}{2m}\frac{\partial^2\Psi}{\partial x^2}+U\Psi\)

Explore topic-wise MCQs in Engineering Physics.

This section includes 10 Mcqs, each offering curated multiple-choice questions to sharpen your Engineering Physics knowledge and support exam preparation. Choose a topic below to get started.

1.	Which device is shown in the following figure?
A.	Particle in a Box
B.	Harmonic Oscillator
C.	SHM
D.	Atomic spectroscope
Answer» C. SHM

Discussion

2.	For a box with infinitely hard walls, the potential is maximum at _____________
A.	L
B.	2L
C.	L/2
D.	3L
Answer» B. 2L

Discussion

3.	Which quantity is said to be degenerate when HΨn = EnΨn?
A.	Eigen Vectors
B.	Eigen Values
C.	Eigen Functions
D.	Operators
Answer» D. Operators

Discussion

4.	Total Energy is quantized but not angular momentum of the quantum particle.
A.	True
B.	False
Answer» C.

Discussion

5.	The Energy levels are proportional to ______________
A.	n
B.	n-1
C.	n2
D.	n-2
Answer» E.

Discussion

6.	The values of Energy for which Schrodinger’s steady state equation can be solved is called as _____________
A.	Eigen Vectors
B.	Eigen Values
C.	Eigen Functions
D.	Operators
Answer» C. Eigen Functions

Discussion

7.	The Steady-state form of Schrodinger wave equation is _____________
A.	Linear
B.	Quadratic
C.	Differential equation
D.	Derivable
Answer» B. Quadratic

Discussion

8.	For 3-D system, the Schrödinger equation changes.
A.	True
B.	False
Answer» C.

Discussion

9.	Which function is considered independent of time to achieve the steady state form?
A.	Ψ
B.	dΨ/dt
C.	d2Ψ/dx2
D.	U
Answer» E.

Discussion

10.	Which of the following is the correct expression for the steady-state form of Schrödinger wave function?
A.	\(P\Psi= -i\frac{\hbar}{2m}\frac{\partial\Psi}{\partial x}+U\Psi\)
B.	\(E\Psi= -i\frac{\hbar}{2m}\frac{\partial^2\Psi}{\partial x^2}+U\Psi\)
C.	\(E\Psi = -i\frac{\hbar^z}{2m}\frac{\partial\Psi/\partial x}+U\Psi\)
D.	\(E\Psi = -i\frac{\hbar^z}{2m}\frac{\partial^2\Psi}{\partial x^2}+U\Psi\)
Answer» E.

Discussion

Explore topic-wise MCQs in Engineering Physics.

Which device is shown in the following figure?

For a box with infinitely hard walls, the potential is maximum at _____________

Which quantity is said to be degenerate when HΨn = EnΨn?

Total Energy is quantized but not angular momentum of the quantum particle.

The Energy levels are proportional to ______________

The values of Energy for which Schrodinger’s steady state equation can be solved is called as _____________

The Steady-state form of Schrodinger wave equation is _____________

For 3-D system, the Schrödinger equation changes.

Which function is considered independent of time to achieve the steady state form?

Which of the following is the correct expression for the steady-state form of Schrödinger wave function?