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JEE Main 2014 Physics question

PhysicsNucleiJEE Main 2014

A piece of wood from a recently cut tree shows 20 decays per minute. A wooden piece of the same size placed in a museum (obtained from a tree cut many years back) shows 2 decays per minute. If the half-life of is 5730 years, then the age of the wooden piece placed in the museum is approximately [This question was awarded a bonus and proper correction was made to avoid that]

Answer: (3)

Solution

The activity has fallen to one tenth, so . Then $t =

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Question ID VK-104641