IFS Physics (Mains): Questions 1 - 5 of 10

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Question number: 1

» Thermal and Statistical Physics » Statistical Physics » Bose-Einstein Condensation

Appeared in Year: 2011

Short Answer Question▾

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Write down the expression for the Bose – Einstein distribution function and explain the meaning of the symbols used. (Paper-I) (Section - B)

Question number: 2

» Classical Mechanics » Particle Dynamics » Conservation of Linear and Angular Momentum

Appeared in Year: 2011

Short Answer Question▾

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A particle of rest mass ‘M’ moving at a velocity ‘u’ collides with a stationary particle of rest mass ‘m’. If the particle stick together, show that the speed of the composite ball is equal to,

v=uγMγM+m, Where γ=11u2c2 (Paper-1) (Section –A)

Question number: 3

» Quantum Mechanics II & Atomic Physics » Atomic Physics » Spectroscopic Notation of Atomic States

Appeared in Year: 2011

Essay Question▾

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Obtain the term symbols for two singlet states and two triplet states for two electron atoms. (Paper-2) (Section-A)

Explanation

If we knowing the value of various types of angular momenta, term symbols gives three kinds of information,

(i) Total orbital angular momentum, L

(ii) Multiplicity of the terms, 2S+1

(iii) Total angular momentum, J

Vectors sum of angular momentum

Vectors Sum of… (407 more words) …

Question number: 4

» Classical Mechanics » System of Particles » Generalised Coordinates and Momenta

Appeared in Year: 2012

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Using D’ Alembert’s principle, show that the following relation can be obtained for a system of particles under generalized coordinates,

iFiδrj=jQjδqj

With,Qj=iFiriqj

What is the significance of Qj ? (Paper-1) (section – A)

Explanation

  • The mathematical statement of D’ Alembert’s principle is given as,

(Fipi˙)δri=0(Eq.1)

  • Transform D’ Alembert’s principle into expressions containing independent generalized coordinates only.

δri=j… (268 more words) …

Question number: 5

» Classical Mechanics » System of Particles » Cyclic Coordinates

Appeared in Year: 2012

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Express Lagrange’s equation of motion for the cyclic coordinate qj and show that the result leads to the general conservation theorem for the generalized momentum coordinates. (Paper - 1) (Section – A)

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