Q7. Particle in a box: probability between L/4 and 3L/4
What is the probability of locating a particle in one-dimensional box between L/4 and 3L/4, where L is the length of the box? Assume the particle to be in the lowest energy state.
Answer in brief
P = 1/2 + 1/π = 0.818: there is an 82 % probability of finding the particle in the middle half of the box (classical value 50 %).
Part of VKC Basic
Read the key points and the full model answer with VKC Basic
VKC Basic (₹999 for 6 months) opens every solved answer, the notes, the handbook and the daily answer archive. Every Mains test series includes it.
The full model answer
As written for the answer booklet: the diagram carries the working, the lines stay short. Read here only; it is not offered as a download.
Coversparticle in a boxprobabilityBorn interpretationground state wave functioncorrespondence principle