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NCERT Exemplar · Q26

Q.How do we compute the age of a rock?

Sikkim CbseShort· 2mImportance★★★★★
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Geologists determine a rock's age by measuring the decay of radioactive isotopes trapped inside its minerals — a technique called radiometric dating that acts like a natural atomic clock.

Rocks don't come with birth certificates, yet we confidently say the Earth is about 4.6 billion years old and assign precise ages to ancient formations. The breakthrough came with the discovery of radioactivity in the late nineteenth and early twentieth centuries. Scientists realized that certain unstable atoms — radioactive isotopes — decay into stable "daughter" atoms at perfectly predictable rates, unaffected by temperature, pressure, or chemical environment. This constancy turns radioactive elements into geological clocks.

The principle is straightforward. When a rock crystallizes from molten magma or lava, it locks in a certain amount of radioactive "parent" isotopes within its mineral structure. From that moment, the radioactive clock starts ticking: parent atoms steadily decay into daughter atoms. By measuring the ratio of parent to daughter isotopes in a rock sample today, and knowing the rate at which this transformation occurs (the "half-life"), geologists can calculate how long the decay has been happening — in other words, how long ago the rock formed.

Note

A half-life is the time it takes for half of a given quantity of a radioactive isotope to decay. For example, if an isotope has a half-life of 1,000 years, after 1,000 years only half the original parent atoms remain; after another 1,000 years, only a quarter remain, and so on.

Different isotopes suit different timescales. Uranium-238 decays to lead-206 with a half-life of about 4.5 billion years, making it ideal for dating the oldest rocks on Earth and meteorites. Potassium-40 decays to argon-40 (half-life roughly 1.3 billion years) and is widely used for volcanic rocks. Carbon-14, with its much shorter half-life of about 5,730 years, is famously used to date organic remains like wood, bone, and charcoal up to around 50,000 years old — useful for archaeology but far too short-lived for geological deep time. …

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