Question

One way to decide whether Maxwell-Boltzmann statistics are valid is to compare the de Broglie wavelength λ of a typical particle with the average interparticle spacing d. If λ << d then Maxwell-Boltzmann statistics are generally acceptable. (a) Using de Broglie’s relation λ = h/p, show that                    λ = h /(3mkT)1/2

Expert Answer

Want to see the step-by-step answer?

Check out a sample Q&A here.

Want to see this answer and more?

Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*

*Response times may vary by subject and question complexity. Median response time is 34 minutes for paid subscribers and may be longer for promotional offers.
Tagged in
Science
Advanced Physics

Wave partical duality

Related Advanced Physics Q&A

Find answers to questions asked by students like you.

Q: Devise an experiment like the one Newton performed to test the equivalence of inertial and gravitati...

A: It is known that  force is equal to the product of mass and acceleration. So, Express the formula fo...

Q: The professor then adjusts the apparatus. The frequency that you hear does not change, but the loudn...

A: Interference occurs from combination of two or more waves. When one of the speakers is turned off on...

Q: 7. Suppose that you have an electric dipole with dipole moment p. In the lecture, we have found an e...

A: Let r(r,θ,ϕ) denote the position of a point in the spherical coordinate system, p denote the dipole ...

Q: Can someone please help me to show all the work for these problems?

A: Hello. Since your question has multiple parts, we will solve first question for you. If you want rem...

Q: Find the speed and kinetic energy of a neutron 1m = 1.675 * 10-27 kg2 with de Broglie wavelength l =...

A: v=hmλ=6.63×10-34 J·s 1.675×10-27 kg0.200 nm10-9 m1 nm=1.98×103 m/s

Q: Activity 1: The boom AB is supported in the position shown by a cable which runs over a small pulley...

A: Free body diagram

Q: 3. A wooden rod is suspended by a string tied to one end; the other end of the string is tied to a f...

A: Since the water is not exerting any horizontal force on the rod. Therefore, to remain in equilibrium...

Q: Two dogs pull horizontally on ropes attached to a post; the angle between the ropes is 60.0. If Rov...

A: Let the vector form of B is B=Bcos60°i+Bsin60°j This can be written as, B=300cos60°i+Bsin60°j=150i+2...

Q: The life average of stable muon is 2.2*10^-6 s , while the life average of moving muon in Cosmic ray...

A: Using time-dilation in Special Relativity, Time in moving frame is given by   Where t = time in the...