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 m1 and m2 at r1 and r2 having velocities v1 and v2 is given by H=12m1v12+12m2v22+C(r1r2)2z^(r1×r2) , 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 z 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) F1=Kexp(r2R2)r^

(ii) F2=K(x3y^y3z^)

(iii) F3=K(x3x^+y3y^)

(iv) F4=K(ϕ^r)

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 pA when it emits an infrared photon of wavelength 1500nm , and it is pB when it emits a photon of visible wavelength 500nm . The ratio pApB is –

Choices

Choice (4) Response

a.

1:1

b.

1:3

c.

1:3

d.

3:2

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