Rank the de Broglie wavelengths of a proton, ant and a baseball from smallest to largest.

Question

At very low temperature, the de Broglie wavelengths of the atoms in a gas can become larger than the distance between atoms, which leads to new states of matter. In an early study, a gas of 23Na was cooled to 200 nK. What is the de Broglie wavelength of the sodium atoms at this temperature? To get a sense of scale, at everyday temperatures and pressures, the distance between air molecules is about 3 nm. How does the de Broglie wavelength compare to this distance? (The gas in the study was much more diffuse than this, but the atoms were close enough for some overlap.)

Answer 1

Question

Chapter 27, Problem 9CQ

To determine

Rank the de Broglie wavelengths of a proton, ant and a baseball from smallest to largest.

Expert Solution & Answer

Trending nowThis is a popular solution!

See solution

Check out sample textbook solution

Students have asked these similar questions

At very low temperature, the de Broglie wavelengths of the atoms in a gas can become larger than the distance between atoms, which leads to new states of matter. In an early study, a gas of 23Na was cooled to 200 nK. What is the de Broglie wavelength of the sodium atoms at this temperature? To get a sense of scale, at everyday temperatures and pressures, the distance between air molecules is about 3 nm. How does the de Broglie wavelength compare to this distance? (The gas in the study was much more diffuse than this, but the atoms were close enough for some overlap.)

John Isner holds the ATP's (Association of Tennis Professionals) official record for the fastest serve at 253 km/h. Calculate the de Broglie wavelength of a tennis ball with the standard weight of 58.8 grams. Give your answer in 10-34 m (for example, if your answer is 5.6x10-34 m, then enter 5.6). This should give you a good idea of why one cannot expect to observe interference affects using tennis balls rather then, for example, electrons.

The wavelengths of visible light range from approximately 400400 to 750 nm750 nm. Part (a) What is the minimum energy for a photon in this range? Give your answer in electron volts. Part (b) What is the maximum energy for a photon in this range? Give your answer in electron volts.