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JEE PHYSICS MCQ: NUCLEI

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Uranium -238 decays to Thorium -234 with half-life 5×109yr5 \times 10^9 \mathrm{yr}. The resulting nucleus is in the excited state and hence further emits γ\gamma-rays to come to the ground state. It emits 20γ20 \gamma-rays per second. The emission rate will drop to 5γ5 \gamma-rays per second in
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Correct option: B
1010yr10^{10} \mathrm{yr}
Option B (1010yr10^{10} \mathrm{yr}) is correct because the emission rate drops to 5 γ-rays per second after two half-lives, which is 2×5×109yr=1010yr2 \times 5 \times 10^9 \mathrm{yr} = 10^{10} \mathrm{yr}.

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