Please explain the answers aswell. Part A The atom wave is divided at A by diffr
ID: 1411698 • Letter: P
Question
Please explain the answers aswell.
Part A The atom wave is divided at A by diffracting through the standing light wave. Laser cooling is used to cool di Mirror lute va pours of sodium atoms to Standing light wave 2mK. Passing them through mul Ato Detector tiple apertures forms an atomic beam, that is injected into the Detector output Beam splitter atom interferometer shown on the Portions of the wave travel The waves are along different paths. recombined at D. right. The standing light waves O2013 Aoanscn Education, Inc. are created with a laser at 532nm. (a) What is the rms speed vrma of a Sodium atom (A 23) in a gas at 2.0mK? (b) The laser beam acts as a grating. Calculate the first order diffraction angle of the sodium atoms travelling with the rms speed from question (a) (c) How far apart are points B and C if the second standing wave is 20cm after the first?Explanation / Answer
a) Rms speed = sqrt(3RT/M)
= sqrt(3 * 8.314 * 0.002/0.023)
= 1.472 m/sec
b) Here, d * sin(theta) = n * lambda
=> sin(theta) = 1 * 532 * 10-9/(0.01472 * 10-3)
=> diffraction angle = 2.071 degree
c) Far apart are points B and C = sin2.071 * 20
= 0.722 cm