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Chapter 39: Q5. (page 1136)

What is the value of the constant a in FIGURE Q39.5?

Short Answer

Expert verified

a = 2mm-1

Step by step solution

01

Given parameters

A graph of probability density of a particle.

the graph forms a triangle with base length of 1mm (from 1mm to 2mm)

and height of a.

02

Finding a

Now we know that probability of finding the particle from -∞to+∞is 1.

And here all the probability density is distributed from x= 1mm to x = 2mm.

So probability of finding the particle between 1mm to 2mm is 1.

this means integral of this wave function from 1mm to 2mm will give 1.

And integral of a function also tells about area under the graph.

⇒areaofthisgraph=1

⇒areaofthetriangle=1⇒12×1mm×a=1⇒a=2mm-1

Hence, the value of a is 2mm-1

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