CSIR Physical Sciences: Questions 8 - 10 of 389

Get 1 year subscription: Access detailed explanations (illustrated with images and videos) to 389 questions. Access all new questions we will add tracking exam-pattern and syllabus changes. View Sample Explanation or View Features.

Rs. 250.00 or

Question number: 8

» Classical Mechanics » Poisson Brackets

Appeared in Year: 2013

MCQ▾

Question

Let A, B and C be function of phase space variables (coordinates and momenta of a mechanical system). If {, } represents the Poisson bracket, the value of {A,{B,C}}{{A,B},C} is given by – (December)

Choices

Choice (4) Response

a.

{B,{C,A}}

b.

{{C,A},B}

c.

{A,{C,B}}

d.

0

Question number: 9

» Mathematical Methods of Physics » Partial Differential Equations

Appeared in Year: 2013

MCQ▾

Question

The expression:

(2x12+2x22+2x32+2x42)1(x12+x22+x32+x42)

Is proportional to – (December)

Choices

Choice (4) Response

a.

(x12+x22+x32+x42)32

b.

(x12+x22+x32+x42)2

c.

δ(x1+x2+x3+x4)

d.

δ(x1)δ(x2)δ(x3)δ(x4)

Question number: 10

» Classical Mechanics » Lagrangian and Hamiltonian Formalism and Equations of Motion

Appeared in Year: 2013

MCQ▾

Question

The Lagrangian of a particle of mass m moving in one dimension is given by,

L=12mx˙2bx

Where, b is a positive constant. The coordinate of the particle x(t) at time t is given by: (in the following c1 and c2 are constants) (June)

Choices

Choice (4) Response

a.

c1t+c2

b.

b2mt2+c1t+c2

c.

c1cos(btm)+c2sin(btm)

d.

c1cosh(btm)+c2sinh(btm)

Sign In