Ch 9 - 65P

QUESTION:

The carbon isotope \({ }^{14} \mathrm{C}\) is used for carbon dating of archeological artifacts. \({ }^{14} \mathrm{C}\) (mass \(2.34 \times 10^{-26} \mathrm{~kg}\) ) decays by the process known as beta decay in which the nucleus emits an electron (the beta particle) and a subatomic particle called a neutrino. In one such decay, the electron and the neutrino are emitted at right angles to each other. The electron (mass \(9.11 \times 10^{-31} \mathrm{~kg}\) ) has a speed of \(5.0 \times 10^{7} \mathrm{~m} / \mathrm{s}\) and the neutrino has a momentum of \(8.0 \times 10^{-24} \mathrm{~kg} \mathrm{~m} / \mathrm{s}\). What is the recoil speed of the nucleus?

Equation Transcription:

Text Transcription:

^14 C

^14 C

2.34 X 10^{-26} kg

9.11 X 10^{-31} kg

5.0 X 10^{7} m/s

8.0 X 10^{-24} kg m/s