Thermodynamic and Statistical PhysicsRandom Walk (CSIR (Council of Scientific & Industrial Research) Physical Sciences): Questions 1  3 of 3
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Question number: 1
» Thermodynamic and Statistical Physics » Random Walk
Appeared in Year: 2014
Question
A random walker takes a step of unit length in the positive direction with probability and a step of unit length in the negative direction with probability . The mean displacement of the walker after n steps is – (December)
Choices
Choice (4)  Response  

a. 
 
b. 
 
c.  0  
d. 

Question number: 2
» Thermodynamic and Statistical Physics » Random Walk
Appeared in Year: 2014
Question
In one dimension, a random walker takes a step with equal probability to the left or right. What is the probability that the walker returns to the starting point after 4 steps? (June – 2014)
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 3
» Thermodynamic and Statistical Physics » Random Walk
Appeared in Year: 2016
Question
Consider a random walk on an infinite twodimensional triangular lattice, a part of which is shown in the figure below.
If the probabilities of moving to any of the nearest neighbor site are equal, what is the probability that the walker returns to the starting position at the end of exactly three steps? (December)
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 
