(Ill) How much voltage must be used to accelerate a proton

Chapter 23, Problem 25P

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QUESTION:

Problem 25P

(Ill) How much voltage must be used to accelerate a proton (radius 1.2 X 10-15 m) so that it has sufficient energy to just ‘‘touch" a silicon nucleus? A silicon nucleus has a charge of +14e. and its radius is about 3.6 X 10-15 m. Assume the potential is that for point charges.

Questions & Answers

QUESTION:

Problem 25P

(Ill) How much voltage must be used to accelerate a proton (radius 1.2 X 10-15 m) so that it has sufficient energy to just ‘‘touch" a silicon nucleus? A silicon nucleus has a charge of +14e. and its radius is about 3.6 X 10-15 m. Assume the potential is that for point charges.

ANSWER:

Step-by-step solution

Step 1 of 2

qp=+e=1,6x10-19C             (the charge of the proton)

qs=+14e=14x1,6x10-19C   (the charge of the silicon nucleolus)

rp=1,2x10-15m                   (the radius of the electron)

Rs=3,6x10-15m                  (the radius of the silicon nucleolus)

A proton is accelerated from point A to B in a potential difference of U. Its kinetic energy increases from KEA=0 to KEB.

         

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