The carbon isotope 14C is used for carbon dating of objects. A 14C nucleus can change into a different kind of element, a neighbor on the periodic table with lower mass, by emitting a beta particle – an electron or positron – plus a neutrino or an anti-neutrino. Consider the scenario where 14C ( mass of 2.34 x 10 -26) decays by emitting an electron and anti neutrino. The electron has a mass of 9.11x 10-31 kg and a speed of 1.0 x107 m/s. While the anti neutrino has a momentum of 1.0x10-24 kg-m/s. If the electron and anti neutrino are emitted at right angles from each other, calculate the recoil speed of the nucleus.
The carbon isotope 14C is used for carbon dating of objects. A 14C nucleus can change into a different kind of element, a neighbor on the periodic table with lower mass, by emitting a beta particle – an electron or positron – plus a neutrino or an anti-neutrino. Consider the scenario where 14C ( mass of 2.34 x 10 -26) decays by emitting an electron and anti neutrino. The electron has a mass of 9.11x 10-31 kg and a speed of 1.0 x107 m/s. While the anti neutrino has a momentum of 1.0x10-24 kg-m/s. If the electron and anti neutrino are emitted at right angles from each other, calculate the recoil speed of the nucleus.
The initial mass of the 14C is M1 = 2.34x10-26 kg.
The 14C undergoes decay and emits electron and anti-neutrino at right angles.
The mass of the electron is m1 = 9.11x10-31 kg.
The speed of the electron is v1 = 1.0x107 m/s.
The momentum of the anti-neutrino is p2 = 1.0x10-24 kg-m/s.
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