Random Walk/Brownian motion/Diffusion — CSIR Net PYQ (Question 3)

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 3 of 15 · 3.5 marks

Consider a continuous time random walk. If a step has taken place at time

t = 0

, the probability that the next step takes place between

t

and

t + d t

is given by

b t d t

, where

b

is a constant. What is the average time between successive steps?

1 $\frac{2 π}{b}$
2 $\frac{π}{b}$
3 $\frac{1}{2} \frac{π}{b}$
4 $\frac{π}{2 b}$

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.