Thermodynamic and Statistical Physics-Random 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

MCQ▾

Question

A random walker takes a step of unit length in the positive direction with probability Equation and a step of unit length in the negative direction with probabilityEquation . The mean displacement of the walker after n steps is – (December)

Choices

Choice (4) Response

a.

0

b.

Equation

c.

Equation

d.

Equation

Question number: 2

» Thermodynamic and Statistical Physics » Random Walk

Appeared in Year: 2014

MCQ▾

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.

Equation

b.

Equation

c.

Equation

d.

Equation

Question number: 3

» Thermodynamic and Statistical Physics » Random Walk

Appeared in Year: 2016

MCQ▾

Question

Consider a random walk on an infinite two-dimensional triangular lattice, a part of which is shown in the figure below.

A part of two-dimensional lattice

A Part of Two-Dimensional Lattice

In figure a part of two dimensional lattice is shown.

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.

Equation

b.

Equation

c.

Equation

d.

Equation

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