An electron is traveling at a speed of v o = 2 ∗ 10 7...

autreimL8

autreimL8

Answered

2022-11-26

An electron is traveling at a speed of v o = 2 10 7 cm/s. The speed is increased such that the increase in energy is E = 10 8 e V. Determine the increase in electron speed.

Answer & Explanation

Bryson Carlson

Bryson Carlson

Expert

2022-11-27Added 10 answers

Electron moving with a velocity ( v 1 ) = 2 × 10 7 cm/s or 2 × 10 5 m/s
E = 10 8 E V 1 E V = 1.6 × 10 19 J E = 1.6 × 10 27 J
Change in kinetic energy = 1 / 2 m ( v 2 2 v 1 2 )
v 2 = v 1 + v v 2 2 = v 1 2 + ( v ) 2 + 2 × v 1 × v v << v 1 v 2 2 = v 1 2 + 2 × v × v 1
Substitute v 2 2 in change in energy equation we get
E = m × v 1 × v
Increase in speed v = 1.6 × 10 27 / ( 9.11 × 10 31 × 2 × 10 5 )
= 8.7815 × 10 3 m / s
new speed v 2 = 200000.0088

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