The nucleus of an atom consists of protons and neutrons (no electrons). A nucleu

Question

The nucleus of an atom consists of protons and neutrons (no electrons). A nucleus of a carbon-12 isotope contains six protons and six neutrons, while a nitrogen-14 nucleus comprises seven protons and seven neutrons. You perform a nuclear physics experiment in which you bombard nitrogen-14 nuclei with very high speed carbon-12 nuclei emerging from a particle accelerator. As a result of each such collision, the two nuclei disintegrate completely and a mix of different particles are emitted, including electrons, protons, antiprotons (with electric charge –e each), positrons (with charge e each), and various neutral particles (including neutrons and neutrinos). For a particular collision you detect the emitted products and find 15 protons, 2 antiprotons, 7 positrons, and 23 neutral particles. How many electrons are also emitted?

Explanation / Answer

we know,

for corbon, z = 6

N = 6

A = 12

for nitrogen, z = 7

N = 7

A = 14

let N is the no of electron

charge of proron = +e

charge of positorn = +e

charge of antiproton = -e

charge of electron = -e

apply charge coservation

charge before = charge after

(6 + 7)*(+e) = 15*(+e) + 2*(-e) + 7*(+e) + N*(-e)

13*e = 20*e - N*e

N = 20 - 13

= 7 <<<<<<<<----------------Answer

so, 7 electrons are also emited.

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