5. Beams of high-speed electrons can be produced in an \"electron gun\" using el

Question

5. Beams of high-speed electrons can be produced in an "electron gun" using electric fields to accelerate the electrons. (a) What acceleration would an electron experience if the gun's electric field were 3.00 x 10*NC? (b) What speed would the electron attain if the field accelerated it through a distance of 0.1 cm? (assume the initial velocity is zero) (c) If the particle was a proton instead of an electron and it was being accelerated by a field of the same magnitude what speed would the proton attain in the same distance? (m 9.1 x 10"kg, m, -1.673x10" kg.) (d) If a neutron were placed into the same field, what would its acceleration be? (m-1.675 kg)

Explanation / Answer

a) acceleration = F/m

= qE/ m

= 1.6*10^-19*3*10^4 / 9.11*10^-31

= 5.26*10^15 m/s2

b) v^2 = u^2 + 2as

V^2 = 0 + 2*5.26*10^15*0.1*10^-2

V = 3.25*10^6 m/s

c) if it was a proton a= 1.6*10^-19*3*10^4 / 1.67*10^-27

= 2.87*10^12 m/s2

V^2 = 2*2.87*10^12*0.1*10^-2

= 7.58*10^4 m/s

d) nuetron does ot have any charge so it's acceleration will be zero

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