

MCQOPTIONS
Saved Bookmarks
This section includes 11 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. |
Calculate the Zero-point energy for a particle in an infinite potential well for an electron confined to a 1 nm atom. |
A. | 3.9 X 10-29 J |
B. | 4.9 X 10-29 J |
C. | 5.9 X 10-29 J |
D. | 6.9 X 10-29 J |
Answer» D. 6.9 X 10-29 J | |
2. |
The wave function for which quantum state is shown in the figure? |
A. | 1 |
B. | 2 |
C. | 3 |
D. | 4 |
Answer» C. 3 | |
3. |
The wave function of a particle in a box is given by ____________ |
A. | \(\sqrt{\frac{2}{L}}sin\frac{nx}{L}\) |
B. | \(\sqrt{\frac{2}{L}}sin\frac{n\pi x}{L}\) |
C. | \(\sqrt{\frac{2}{L}}sin\frac{x}{L}\) |
D. | \(\sqrt{\frac{2}{L}}sin\frac{\pi x}{L}\) |
Answer» C. \(\sqrt{\frac{2}{L}}sin\frac{x}{L}\) | |
4. |
What is the minimum Energy possessed by the particle in a box? |
A. | Zero |
B. | \(\frac{\pi^2\hbar^2}{2mL^2}\) |
C. | \(\frac{\pi^2\hbar^2}{2mL}\) |
D. | \(\frac{\pi^2\hbar}{2mL}\) |
Answer» C. \(\frac{\pi^2\hbar^2}{2mL}\) | |
5. |
Particle in a box can never be at rest. |
A. | True |
B. | False |
Answer» B. False | |
6. |
The Eigen value of a particle in a box is ___________ |
A. | L/2 |
B. | 2/L |
C. | \(\sqrt{L/2}\) |
D. | \(\sqrt{2/L}\) |
Answer» E. | |
7. |
For a particle inside a box, the potential is maximum at x = ___________ |
A. | L |
B. | 2L |
C. | L/2 |
D. | 3L |
Answer» B. 2L | |
8. |
The Energy of the particle is proportional to __________ |
A. | n |
B. | n-1 |
C. | n2 |
D. | n-2 |
Answer» D. n-2 | |
9. |
The particle loses energy when it collides with the wall. |
A. | True |
B. | False |
Answer» C. | |
10. |
The wave function of the particle lies in which region? |
A. | x > 0 |
B. | x < 0 |
C. | 0 < X < L |
D. | x > L |
Answer» D. x > L | |
11. |
The walls of a particle in a box are supposed to be ____________ |
A. | Small but infinitely hard |
B. | Infinitely large but soft |
C. | Soft and Small |
D. | Infinitely hard and infinitely large |
Answer» E. | |