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ID: 1570086 • Letter: S

Question

Secure https//session.masteringphysics.com/myct/temview?assignmentProblemID next Dm77985949&offset; niversity Physics at FDu Signed in as Ali Ues11 MPG Problem 28.55 previous 6of8 Problem 28.55 Part A One form of nuclear radiation, beta decay occurs is charge conserved in the beta decay process? when a neutron changes into a proton, an electron, and a neutral particle called a neutrino r H n-+ p* +e tv where vis the symbol for a neutrino. When this change happens to a neutron within the nucleus of an atom, the proton remains behind in the nucleus whie the electron and neutrino are ejected from the nucleus. The ejected electron is called a beta particle. One nucleus that My Answers Give Up exhibits beta decay is the isotope of hydrogen 3H, called tribum, whose nucleus consists of one proton Part B (making it hydrogen) and two neutrons (giving tritium an atomic mass m 3 u). Tritum is The nuclei of both H and 3He have radi o 1.5 x 10 15 m. With what velocity must the electron be ejected irit is to escape from the nucleus and not fall back? radioactive, and decays to helium: Hete Express your answer to two significant figures and include the appropriate units. Value Units Submit My Answers Give Up Prende Feedback Continue G https//session masteringphysics com/myct/itemview?assignment ProblemID 77985950&offset; next

Explanation / Answer

A) Yes.

B) let charge of He nucleus, Q = +2*e

charge of electron, q = -e

now apply conservation of energy

PEi + KEi = PEf + KEf

k*Q*q/r + (1/2)*m*v^2 = 0 + 0

(1/2)*m*v^2 = -k*Q*q/r

v^2 = -2*k*Q*q/(m*r)

v = sqrt(-2*k*Q*q/(m*r))

= sqrt(-2*9*10^8*(2*1.6*10^-19)*(-1.6*10^-19)/(9.11*10^-31*1.5*10^-15))

= 2.60*10^8 m/s