Question

find the probability density of a particle moving in an interval of 10-10 m at the center of the box. the length of the one-dimensional box is 20x10-10 m (a) 0.2 (b) 0.3 (c) 0.4 (d) none of the above

Answer 1

a)0.2

hope this will help you

Answer 2

Answer:

0.05

Step-by-step explanation:

Hi,

Let the one dimension box be AB

Let the center of the box be P,

Given that particle is moving in an interval of 10⁻¹⁰ m at the center

of the box.  Let this interval be CD.

Length of CD = 10⁻¹⁰

In general particle could move over the entire length AB = 20*10⁻¹⁰,

So Probability of particle moving in an interval CD

= length of CD/length of AD

= 10⁻¹⁰/20*10⁻¹⁰

= 1/20

= 0.05

Hope, it helps !