Question

In the stern-gerlach experiment, silver atoms are heated to 1000 K. Then a thin beam of these atoms is passed through a magnetic field that varies in space with a gradient of 0.75 Weber/cm over a distance of 10 cm, in the direction of the 2 axis. The beam after leaving the field travels 12 cm, before hitting a photographic plate. a) Calculate the separation of the two beam components on the screen. Use the average beam speed with the following m<v>=Kbt, where Kb is the boltzmann constant b) If the experiment is carried out with the following atoms: Ca(S.)Ti(F). As['sual, how many lines or spots are observed on the screen?

Answer 1

. a) Potential energy = U 2 I MBB. Foroce along y axis = Fy n action. where do is the space rate of variation of the magnetic flux density along you Acceleration of the atom, a= tu ya where on is the mass of the atom. If the length of the path through the find in the azdirection is L and the time to traverse it is t equal to the displacement d along y direction on emerging from the field will be given by vo da zat? t are one ()? 2 m <v) ² = 9 Kat m Seperation between Love beams, 202 + those

M3 = 9:27*1524 51T dB 0.75 weberleme z I5 weberim Ta lorok L = (10+12) cm = 22*102 m seperation adz I. & => ad z. & 9.27X10 29 x 75 x Q 202x104 m 381.3871723, 170 m 30:81 mim :

6) ;) Cal's.] iso = mizo > I line will be observed . wi) Til372] j= 2 ) mj. +2,+1,0, 1, 2 5 lines will be observed . LnAs ["542.] ja ;=+,+51-,- 4 lines will be observed.