Q. 27

Expert-verifiedFound in: Page 1176

Book edition
4th

Author(s)
Randall D. Knight

Pages
1240 pages

ISBN
9780133942651

A diameter water droplet is moving with a speed of in a long box.

a. Estimate the particle’s quantum number.

b. Use the correspondence principle to determine whether quantum mechanics is needed to understand the particle’s motion or if it is “safe” to use classical physics.

a. the quantum number is

b. since it is too large we can use the classical approach.

We have given,

Diameter of the drop =

speed of the drop =

length of he box =

we have to find the quantum number n?

We know the energy of one dimensional box is

We have to find its classical approach using corresponds principle.

According to the correspondence principle that if any system in quantum mechanics describing the behavior of quantum systems and it must yield the same type of results as classical physics in the macroscopic limit.

then we can approach as same.

From the above found the quantum number is too large.

we can very safely use classical mechanics.

94% of StudySmarter users get better grades.

Sign up for free