Random Walk/Brownian motion/Diffusion — CSIR Net PYQ (Question 4)

A Random Walk/Brownian motion/Diffusion previous-year question (PYQ) from Statistical Mechanics (CSIR Net). Read the question, check the correct answer, then practise the full topic.

Question 4 of 15 · 5.0 marks

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 neighbour sites are equal, what is the probability that the walker returns to the starting position at the end of exactly three steps?

1. 1$\frac{1}{36}$
2. 2$\frac{1}{216}$
3. 3$\frac{1}{18}$
4. 4$\frac{1}{12}$

Correct answer: Option 3

About this question

This Random Walk/Brownian motion/Diffusion PYQ is part of the Statistical Mechanics section of CSIR Net. Browse more Random Walk/Brownian motion/Diffusion questions or join the PhysicsByAaryan live batch for full conceptual coverage.