Random Walk/Brownian motion/Diffusion — CSIR Net PYQ (Question 1)

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 1 of 15 · 5.0 marks

Consider a random walker on a square lattice. At each step the walker moves to a nearest neighbour site with equal probability for each of the four sites. The walker starts at the origin and takes 3 steps. The probability that during this walk no site is visited more than one is

1 $12/27$
2 $27/64$
3 $3/8$
4 $9/16$

Correct answer: Option 4

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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.