49 after decaying for 48 hours, l/16 of the original mass of a radioisotope sample remains unchanged. what is the half-life of this radioisotope?
(1) 3.0 h (3) 12 h(2) 9.6 h (4) 24 h

The half life of the radioisotope is 12 hours.

Explanation:

Initial mass of the radioisotope = x

Final mass of  the radioisotope = = 0.0625x

Half life of the radioisotope =

Age of the radioisotope = t = 48 hours

Formula used :

where,

= initial mass of isotope

N = mass of the parent isotope left after the time, (t)

= half life of the isotope

= rate constant

Now put all the given values in this formula, we get

The half life of the radioisotope is 12 hours.

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