• Want FREE Counselling for Exam Preparation?
###### Call Us
800-355-2211

Speak With a Friendly Mentor.

###### Pradeep Jogsan posted an Question
September 16, 2021 • 21:37 pm 30 points
• IIT JAM
• Physics (PH)

# Example 8: a particle is confined to lie in a one-dimensional potential of width a and situated synmetrically about the origin: v(r) = 0 for -a/2< rsal2, and n

Example 8: A particle is confined to lie in a one-dimensional potential of width a and situated synmetrically about the origin: V(r) = 0 for -a/2< rsal2, and n olherwise. If Ylr) denotes the wave function of the particle. which one of the following is true ? (a)P(-al2) = "'(-a/ 2)-0 (c) '(-ai2) = ¥'lai.2) = 0 (b) ¥(-a/2)= "P'la/2)= 0 (d)-al2) = 'V(a/2) =0 IISe-2012

• 0 Likes
• 0 Shares
• ##### Ravi bhushan

Here is the detailed solution.

but ans. is b

you can assume option B. But from the calculation I am getting none of these.

You have to put limits in the wave function. Here box is symmetric, therefore wave function of the ground state will be cosine.

### Do You Want Better RANK in Your Exam?

Start Your Preparations with Eduncle’s FREE Study Material

• Updated Syllabus, Paper Pattern & Full Exam Details
• Sample Theory of Most Important Topic
• Model Test Paper with Detailed Solutions
• Last 5 Years Question Papers & Answers