=____ V (b) Repeat the calculation for an electron. Hint : Here you must use the

Question

=____V

(b) Repeat the calculation for an electron. Hint: Here you must use the relativistic expressions for energy and momentum.

=____V

(c) Compare the energies of these two particles (ratio of proton energy to electron energy) when they have this same wavelength.

=_____

(a) Calculate the electric potential difference needed to accelerate a proton so that it has a wavelength of 6.4 x 10-12 m. =____V (b) Repeat the calculation for an electron. Hint: Here you must use the relativistic expressions for energy and momentum. =____V (c) Compare the energies of these two particles (ratio of proton energy to electron energy) when they have this same wavelength. =_____

Explanation / Answer

a). 1/2mv2 = qV

wavelength = h/p

v= h/ 6.4*10^-12 *m

V= 0.5*h2 / m*q*(6.4*10^-12)2

V= 19.999258 volts

2). wave length = x say

x=h/p

0.5mv^2=qV

V=0.5*m*h^2 / q*(xm)^2

V = 36721.692 volts

3). energy = qV

ratio of proton energy to electron energy = V1/V2 = mass of ecetron / mass proton = 5.4*10^-4

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