GATE (Graduate Aptitude Test in Engineering) Physics: Questions 112 - 115 of 622

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Question number: 112

» Mathematical Physics » Elements of Complex Analysis » Residue Theorem and Applications

Appeared in Year: 2012

MCQ▾

Question

The value of the integral Equation , using the contour Equation of circle with unit radius Equation is –

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

Question number: 113

» Classical Mechanics » Mechanics of System of Particles

Appeared in Year: 2012

MCQ▾

Question

In a central force field, the trajectory of particle of mass Equation , and angular momentum Equation in plan polar coordinates in given by,

Equation

Where, Equation is the eccentricity of the particle’s motion. Which one of the following choices for Equation gives rise a parabolic trajectory?

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

Question number: 114

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

Appeared in Year: 2016

MCQ▾

Question

The Lagrangian of a system is given by

Equation , where Equation are constants.

Which of the following is conserved?

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

Question number: 115

» Quantum Mechanics » Linear Vectors and Operators in Hilbert Space

Appeared in Year: 2016

MCQ▾

Question

If Equation and Equation are the Equation components of the position and the momentum operators of a particle respectively, the commutator Equation is –

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

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