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Q.

Uranium-238 decays to thorium-234 with half-life 5×109 yr .The resulting nucleus is in the excited state and hence further emits γ - rays to come to the ground state. It emits 20γ - rays per second. the emission rate will drop to 5γ - rays per second in

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a

1.25×109yr

b

1010yr

c

10−8yr

d

1.25×10−9s

answer is B.

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Detailed Solution

t = 2 half lifes; t = nT = 2 × 5 × 109 year = 1010 year
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Uranium-238 decays to thorium-234 with half-life 5×109 yr .The resulting nucleus is in the excited state and hence further emits γ - rays to come to the ground state. It emits 20γ - rays per second. the emission rate will drop to 5γ - rays per second in