Classical Mechanics (GATE Physics): Questions 1 - 3 of 79

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Question number: 1

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

Appeared in Year: 2015

MCQ▾

Question

The Hamiltonian for a system of two particles of masses Equation and Equation at Equation and Equation having velocities Equation and Equation is given by Equation , where C is a constant. Which one of the following statements is correct?

Choices

Choice (4) Response

a.

Only the total energy is conserved

b.

The total energy and total momentum are conserved

c.

The total energy and total angular momentum are conserved.

d.

The total energy and Equation component of the total angular momentum are conserved

Question number: 2

» Classical Mechanics » Conservation Laws

Appeared in Year: 2015

MCQ▾

Question

Four forces are given below in Cartesian and spherical polar coordinates.

(i) Equation

(ii) Equation

(iii) Equation

(iv) Equation

Where K is a constant. Identify the correct option.

Choices

Choice (4) Response

a.

(i) and (ii) are conservative but (iii) and (iv) are not

b.

(ii) and (iii) are conservative but (i) and (iv) are not

c.

(iii) and (iv) are conservation but (i) and (ii) are not

d.

(i) and (iii) are conservative but (ii) and (iv) are not

Question number: 3

» Classical Mechanics » Conservation Laws

Appeared in Year: 2014

MCQ▾

Question

The recoil momentum of an atom is Equation when it emits an infrared photon of wavelength Equation , and it is Equation when it emits a photon of visible wavelength Equation . The ratio Equation is –

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

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