Thermodynamic and Statistical Physics-Ising Model (CSIR Physical Sciences): Questions 1 - 3 of 3

Get 1 year subscription: Access detailed explanations (illustrated with images and videos) to 401 questions. Access all new questions we will add tracking exam-pattern and syllabus changes. View Sample Explanation or View Features.

Rs. 300.00 or

Question number: 1

» Thermodynamic and Statistical Physics » Ising Model

Appeared in Year: 2013

MCQ▾

Question

Consider a system of two Ising spins S1 and S2 taking values ±1 with interaction energy given by ε=JS1S2 , when it is in thermal equilibrium at temperature T. For large T, the average energy of the system varies as CkBT , with C given by,

Choices

Choice (4) Response

a.

2J2

b.

J2

c.

J2

d.

4J

Question number: 2

» Thermodynamic and Statistical Physics » Ising Model

Appeared in Year: 2012

MCQ▾

Question

Consider a one – dimensional Ising model with N spins, at very low temperature when almost all the spins are aligned parallel to each other. There will be a few spin flips with each flip costing an energy 2J . In a configuration with r spin flips, the energy of the system is E=NJ+2rJ and the number of configuration is NCr ; r varies from 0 to N. The partition function is – (December)

Choices

Choice (4) Response

a.

eNJkBT

b.

(sinhJkBT)N

c.

(coshJekBT)N

d.

(JkBT)N

Question number: 3

» Thermodynamic and Statistical Physics » Ising Model

Appeared in Year: 2011

MCQ▾

Question

A one – dimensional chain consists of a set of N rods each of length a . 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 ε when aligned parallel to the length of the chain and is +ε when perpendicular to it. When the chain is in thermal equilibrium at temperature T, its average length is – (December)

Choices

Choice (4) Response

a.

Na

b.

Na2

c.

Na(1+e2εkBT)

d.

Na1+e2εkBT

f Page
Sign In