# Show that a potential difference of 1.02 x 106 V would be sufficient to give an electron a speed equal to twice the speed of light if Newtonian mechanics remained valid at high speeds. (b) What speed would an electron actually acquire in falling through a potential difference equal to 1.02 x 106 V ?

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Show that a potential difference of 1.02 x 106 V would be sufficient to give an electron a speed equal to twice the speed of light if Newtonian mechanics remained valid at high speeds. (b) What speed would an electron actually acquire in falling through a potential difference equal to 1.02 x 106 V ?

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Step 1

(a)

Write the expression for the kinetic energy of the electron, and the solve for the speed of the electron.

Step 2

(b)

Write the expression for the total kinetic energy of the electron, that is the difference of the total enetgy (E) and the rest energy (ER), and the solve the speed of the electron.

Step 3

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