Question

pls answer q 5-9

17. A cyclotron (Fig. 28.16) designed to accelerate protons has an outer radius of 0.350 m. The protons are emitted nearly at rest from a source at the center and are accelerated through 600 V each time they cross the gap between the dees. The dees are between the poles of an electromagnet where the field is 0.800 T. (a) Find the cyclotron frequency for the pro- tons in this cyclotron. Find (b) the speed at which protons exit the cyclotron and (c) their maximum kinetic energy. (d) How many revolutions does a proton make in the cyclo- tron? (e) For what time interval does the proton accelerate? 18. Anarticle in the

Answer 1

98 في ) = 2176). 20f 913 f= E B 1.60 x 10 -19 Il x 6.7 zom 2x W x 2.672X10 ~27 6 10. 6610 X10 #3, CS Scanned With CamScanner

176) Solution. Gdien that B=0.77 y = 623 Volts R=0.27 m proton (22= Charge of Maurs of 1160 x10-12c) *10-27 to) proton CMD = 1672 x 10 The angwar velocity & B E 냑 ( و 3 لنا Vm= R 213 M V R. q BR Via 160x10 19x0.7 x 0.27 VE 1.672 X10-27 CS Scanned CamScannerm with = 1.8086 X lo misece

c) The Kinetic energy KE=1 4mina £ X1.672 X 10m2 7x (1:8086810722. AJ 2.7346 X10 -13 = T 273.46 X10-15) 273.46f5 E CS Scanned with CamScanner

0.14032X 104 number of revolutions the d) N= k 29 V 273.46 xloris 2x116 x 10-19 9x609 시스 N= 1403 revolutions taken e) the time to accelerate the proton (TE 1/4) Ate TN wys 1403 = 1:3160 *10-4secs 10 6610 x 10 131.60 x 10-6secs at afat Goms) CS Scanned with CamScanner