February 1, 2003

Carbon Dating Process

carbon dating process

Radio Carbon Dating Clip

Carbon-14 Beta Decay?

The carbon isotope is used for carbon dating of archeological artifacts. 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 has a speed of 5.00×107 and the neutrino has a momentum of 6.40×10−24 . What is the recoil speed of the nucleus?

I know what the answer is (1970 m/s), I just want to know how to get it.

Remember that momentum must always be conserved in a closed system.

You know what the mass of the electron is, so work out the momentum of the electron based on its velocity here multiplied by its mass. You're also given the neutrino momentum. Note that they are at right angles, and remember that momentum is a vector. The total momentum of the nucleus must equal the total momentum of the two other particles, in the opposite direction of their vector sum.

Now you have the momentum of the nucleus, divide by its mass to get its velocity.

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