In moon rock sample the ratio of the number of stable $$argon-40$$ atoms present to the number of radioactive $$potassium-40$$ atoms is $$7$$:$$1$$. Assume that all the argon atoms were produced by the decay of potassium atoms, with a $$half-life$$ of $$2.5$$ × $$109$$ yr. The age of the rock is

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At present ; No. of arg on atomsNo. of K $$atoms=71$$∴No. of K atomsTotal No. of $$atoms=11+7=18=123$$∴$$NN0=123=12t/T$$ ; ∴$$3=t/Tt=3T=3$$ x $$2.5$$ $$x109$$ ; ∴$$t=7.5$$ x $$109$$ yr

In moon rock sample the ratio of the number of stable argon-40 atoms present to the number of radioactive potassium-40 atoms is 7:1. Assume that all the argon atoms were produced by the decay of potassium atoms, with a half-life of 2.5 × 10⁹yr. The age of the rock is

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In moon rock sample the ratio of the number of stable argon-40 atoms present to the number of radioactive potassium-40 atoms is 7:1. Assume that all the argon atoms were produced by the decay of potassium atoms, with a half-life of 2.5 × 109 yr. The age of the rock is

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In moon rock sample the ratio of the number of stable argon-40 atoms present to the number of radioactive potassium-40 atoms is 7:1. Assume that all the argon atoms were produced by the decay of potassium atoms, with a half-life of 2.5 × 10⁹yr. The age of the rock is