CSIR (Council of Scientific & Industrial Research) Physical Sciences: Questions 360  363 of 463
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Question number: 360
» Thermodynamic and Statistical Physics » Diffusion Equation
Appeared in Year: 2011
Question
Consider two independently diffusing noninteracting in 3 – dimensional space, both placed at the origin at time . These particles have different diffusion constants and . The quantity where and are the positions of the particles at time , behaves as – (June)
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 361
» Mathematical Methods of Physics » Poles, Residues & Evaluation of Integrals
Appeared in Year: 2011
Question
The value of the real integral is – (December)
Choices
Choice (4)  Response  

a. 


b. 


c.  0 

d. 


Question number: 362
» Quantum Mechanics » Variational Method
Appeared in Year: 2011
Question
If an electron is in the ground state of the hydrogen atom, the probability that its distance from the proton is more than one Bohr radius is approximately, (June)
Choices
Choice (4)  Response  

a.  0.48 

b.  0.68 

c.  0.28 

d.  0.91 

Question number: 363
» Thermodynamic and Statistical Physics » Ising Model
Appeared in Year: 2011
Question
A one – dimensional chain consists of a set of N rods each of length . When stretched by a load, each rod can align either parallel or perpendicular to the length of the chain. The energy of a rod is when aligned parallel to the length of the chain and is when perpendicular to it. When the chain is in thermal equilibrium at temperature T, its average length is – (December)
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 

