GATE (Graduate Aptitude Test in Engineering) Physics: Questions 89 - 91 of 622

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Question number: 89

» Classical Mechanics » Lagrange's and Hamilton's Formalisms

Appeared in Year: 2014

MCQ▾

Question

The Hamilton’s canonical equations of motion in terms of Poisson Brackets are –

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

Question number: 90

» Quantum Mechanics » One, Two and Three-Dimensional Potential Problems

Appeared in Year: 2014

MCQ▾

Question

The ground state and the first excited state wave function of a one dimensional infinite potential well are Equation and Equation , respectively. When two spin – up electrons are placed in this potential, which one of the following with Equation and Equation denoting the position of the two electrons, correctly represents the space part of the ground state wave function of the system?

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

Question number: 91

» 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 .

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