(b) Would a proton traveling at the same speed require a greater or lesser magni

Question

(b) Would a proton traveling at the same speed require a greater or lesser magnitude of electric potential difference?

Explain..

(c) Find a symbolic expression for the ratio of the proton stopping potential and the electron stopping potential, ?Vp/?Ve. (Use the following as necessary: mp for the mass of proton and me for the mass of electron.)

(a) Find the electric potential difference Ve required to stop an electron (called a "stopping potential") moving with an initial speed of 2.29 x 107 m/s. kV b) Would a proton traveling at the same speed require a greater or lesser magnitude of electric potential difference? greater lesser O equal This answer has not been graded yet (c) Find a symbolic expression for the ratio of the proton stopping potential and the electron stopping potential, AVp/AVe. (Use the following as necessary: mp for the mass of proton and me for the mass of electron.) AV

Explanation / Answer

a) use the formula (1/2)m(v^2) - (1/2) m (u^2)
with v=o the first part of the formula is zero so its going to be w = 0 - (1/2) m (u^2)
then delta Ve will equal w divided by e. so the exact formula is [- (1/2) m (u^2) / (e)]
u = 1.99e7
m=9.11e-31

so you will have [(-1/2)(9.11e-31)(2.99e7)^2 ] / (1.6e-19) which if i worked it out correctly would give you, -2514.40 ... just divide that by 1000 and you will get -2.514kv

B) the answer is greater because a proton has greater mass (mass proton = 1.673*10^-27 kg) and hence would require a greater change of electric potential.

c) the ratio is simply =   - (mass of proton)/ (mass of electron)

or: - mp / me

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