Answer 8_1_3

 Calculate the kinetic energy and speed of an electron where the anode voltage is 

(a) 400 V

(b) 400 kV

 

(a) Ek = eV = 1.6 ´ 10-19 ´ 400 V = 6.4 ´ 10-17J

 

 v2  = eEk/m = 2 ´ 6.4 ´ 10-17J ¸ 9.11 ´ 10-31 kg = 1.41 ´ 1014 m2 s-2

 

v = 1.18 ´ 107 m/s

 

(b) Ek = eV = 1.6 ´ 10-19 ´ 400 000 V = 6.4 ´ 10-14J

 

 v2  = eEk/m = 2 ´ 6.4 ´ 10-14J ¸ 9.11 ´ 10-31 kg = 1.41 ´ 1017 m2 s-2

 

v = 3.74 ´ 108 m/s

 

 

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