The half-life of a radioactive nuclide is 100 hours. The fraction of original activity that will remain after 150 hours would be a. 2/3√2 b. ½ c. 1/2√2 d. ⅔

We know that the activity of a radioactive substance is written as

A = Ao (1/2)^TH/t/2

Where T_H is the fraction of the original activity

t/2 is the half-life of a radioactive nuclide

Substituting the values

A/Ao = (1/2)^150/100

By further simplification

A/Ao = (1/2)^3/2

So we get

A/Ao = 1/2√2

Therefore, the fraction of original activity that will remain after 150 hours would be 1/2√2.

Summary:

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

1. 2/3√2

2. 1/2

3. 1/2√2

4. ⅔

The half-life of a radioactive nuclide is 100 hours. The fraction of original activity that will remain after 150 hours would be 1/2√2.

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