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Question

Among the following, which has the longest half life?

A
23290Th
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B
23793Np
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C
23892U
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D
23592U
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Solution

The correct option is A 23290Th
If Number of neutrons N= odd and Number of protonsP=odd, Both are Unstable Nuclei.
and if Number of neutrons N= even and Number of Protons P=even, Both are stable Nuclei.
Here 23290Th and 23892U is stable.
Now NP ratio of 23290ThNP=1.57(Hence stable more closes to 1)
NP ratio of 23892UNP=14692=1.59
Now, the most stable element will have longest half-life.
Thus, option A is correct.

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