Q 2676180976.     `text()_(92)U^(238)` is radioactive and it emits `alpha` and `beta` particles to form ` text()_(82)Pb^(206)`. Calculate the number of `alpha` and `beta` particles emitted in this conversion.
An ore of `text()_(92)U^(238)` is found to contain `text()_(92)U^(238)` and ` text()_(82)Pb^(206)` in the weight ratio of `1 : 0.1`. The half life period of `text()_(92)U^(238)` is ` 4.5 xx 10^9` yr. Calculate the age of the ore.

JEE 2000

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