Recently it has become possible to alter the velocity of gaseous atoms with radiation pressure from laser beams. In one experiment an atomic beam of sodium atoms was brought almost to a standstill by shinning lasers from six directions turned to the D-line of Na. In this “optical molasses” the atoms move sluggishly about with an average of 40. cm s-1 . Find the de Broglie wavelength of these atoms. (Using this method, a so-called Bose Einstein condensate has been made, an ultracold cluster of atoms that behaves like one giant atom.)​

Respuesta :

The wavelength is 4.48 * 10^- 8 m.

What is the de Broglie wavelength?

Let us recall that the De Broglie idea is that matter has an associated wavelength. This is the so called wave particle duality theory. The sodium atoms also have an associated wavelength.

Now;

1 amu = 1.67 * 10^-27 kg

Relative atomic mass of sodium = 23 amu

Mass of sodium in kilogram = 23 amu *  1.67 * 10^-27 kg

= 3.68 * 10^-26 Kg

Velocity of sodium atoms = 40. cm s-1 or 0.4 ms-1

Thus the de Broglie wavelength;

λ= h/mv

λ= wavelength

h = Plank's constant

m = mass

v = velocity

λ= 6.6 * 10^-34 Js/ 3.68 * 10^-26 Kg *  0.4 ms-1

λ= 4.48 * 10^- 8 m

Learn more about de Broglie wavelength:https://brainly.com/question/17295250

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