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Half-life of a radioactive nuclide is 100 hours.

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Half-life of a radioactive nuclide is 100 hours. The fraction of original activity that will remain after 150 hours would be:

(1) \(\frac{1}{2}\)

(2) \(\frac{1}{2\sqrt 2}\)

(3) \(\frac{2}{3}\)

(4) \(\frac{1}{3\sqrt 2}\)

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Correct answer: \(\frac{1}{2\sqrt 2}\)

Explanation:

\(\frac{A}{A_0}\) = \((\frac{1}{2})^{\frac{t}{T_H}}\)

= \((\frac{1}{2})^{\frac{150}{100}}\)

= \(\frac{1}{2\sqrt 2}\)

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