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Natural Uranium is a mixture of $$^{238}_{92}\text{U}$$ and $$^{235}_{92}\text{U}$$ with a relative mass abundance of $$140 \colon 1$$. The ratio of radioactivity contributed by the two isotopes of natural uranium, if their half-lives are $$4.5\times 10^{9}$$ years and $$7.0\times 10^{8}$$ years respectively, is
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