Wednesday Homework Problem 3.9 There is considerable excitement about the possib

Question

Wednesday Homework Problem 3.9 There is considerable excitement about the possibility of building a particle accelerator the size of a table top. These devices use the electric field in a plasma wave to accelerate the particles. They claim an electric field of 1.0 × 1011 N. How long would it take this field to accelerate an electron (mass-9.11 × 10-31 kg and charge=1.6 × 10-19C) to the speed of light (v = 3.0 x 10"!m). Assume constant acceleration and neglect relativity. For those of you who have forgotten absolutely everything from PHYS 111, for constant acceleration u = at. Select One of the Following (a) 1.3 × 10-28 (b) 3.2 × 10's (c) 6.5x 10% (d)17 x 10-14s (e) 9.1 x 10-7s

Explanation / Answer

Force on the charge due to electric field, F= eE

acceleration of the electron, a= F/m = eE/m

we know that, v=at

t=v/a

t=c*m/(e*E) = (3*108*9.11*10-31)/(1.6*10-19*1011)

t= 1.708*10-14 seconds

option d is correct

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