Quantum Mechanics-Angular Momentum and Spin (GATE Physics): Questions 1 - 4 of 18

Get 1 year subscription: Access detailed explanations (illustrated with images and videos) to 622 questions. Access all new questions we will add tracking exam-pattern and syllabus changes. View Sample Explanation or View Features.

Rs. 350.00 or

Question number: 1

» Quantum Mechanics » Angular Momentum and Spin

Appeared in Year: 2014

Short Answer Question▾

Write in Short

A hydrogen atom is in the state Equation

Where Equation in Equation denote the principal, orbital and magnetic quantum numbers, respectively. If Equation is the angular momentum operator, the average value of Equation is________ Equation .

Question number: 2

» Quantum Mechanics » Angular Momentum and Spin

Appeared in Year: 2015

MCQ▾

Question

Let L and p be the angular and linear momentum operates, respectively for a particle. The commutator Equation gives –

Choices

Choice (4) Response

a.

Equation

b.

0

c.

Equation

d.

Equation

Question number: 3

» Quantum Mechanics » Angular Momentum and Spin

Appeared in Year: 2015

Short Answer Question▾

Write in Short

Let the Hamiltonian for two spin Equation particles of equal masses Equation , momenta Equation and Equation and position Equation and Equation be

Equation

where Equation and Equation denote the corresponding Pauli matrices, Equation and Equation . If the ground state has net spin zero, then the energy (in Equation ) is ________.

Question number: 4

» Quantum Mechanics » Angular Momentum and Spin

Appeared in Year: 2014

Short Answer Question▾

Write in Short

Equation and Equation are two orthogonal states of a spin Equation system. It is given that

Equation Where Equation and Equation represent the spin – up and spin – down states, respectively. When the system is in the state Equation , its probability to be in the spin – up state is Equation .

f Page
Sign In