GATE (Graduate Aptitude Test in Engineering) Physics: Questions 1 of 659
Appeared in Year: 2015
Question MCQ▾
The Hamiltonian for a system of two particles of masses and at and having velocities and is given by , where C is a constant. Which one of the following statements is correct?
Choices
| Choice (4) | Response | |
|---|---|---|
a. | The total energy and total momentum are conserved | |
b. | The total energy and component of the total angular momentum are conserved | |
c. | The total energy and total angular momentum are conserved. | |
d. | Only the total energy is conserved | |
Answer
b.
Explanation
- Here, the Hamiltonian for a system of two particles of masses and at and having velocities and is given as,
- Comparing above equation with standard operator, that is given as,
- Only z – component of angular momentum is associated. Therefore, the total energy as well as z – component of the total angular momentum are conserved.