Which of the following is the correct expression for the Schrödinger wave function?

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

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

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

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

Explore topic-wise MCQs in Engineering Physics Questions and Answers.

This section includes 4 Mcqs, each offering curated multiple-choice questions to sharpen your Engineering Physics Questions and Answers knowledge and support exam preparation. Choose a topic below to get started.

1.	The Schrödinger is a differential equation.
A.	True
B.	False
Answer» C.

Discussion

2.	dΨ/dx must be zero.
A.	True
B.	False
Answer» C.

Discussion

3.	Find the function, f(x), for which X f(x) = \(-\frac{i}{\hbar}a^2p_xf(x),\) where a is the real quantity.
A.	ke-x2
B.	ke-x2/2a
C.	ke-x2/2a2
D.	ke-x2/2a
Answer» D. ke-x2/2a

Discussion

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

Discussion

Explore topic-wise MCQs in Engineering Physics Questions and Answers.

The Schrödinger is a differential equation.

dΨ/dx must be zero.

Find the function, f(x), for which X f(x) = \(-\frac{i}{\hbar}a^2p_xf(x),\) where a is the real quantity.

Which of the following is the correct expression for the Schrödinger wave function?