Q.

The half-life of a radioisotope is four hours. If the initial mass of the isotope was 200g, the undecayed mass remaining after 24 hours is

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a

1.042g

b

2.084g

c

3.125g

d

4.167g

answer is C.

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Detailed Solution

[A]t=[A]0×12n where, n=tt1/2= number of half lives ⇒[A]t=200×126=3.125
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The half-life of a radioisotope is four hours. If the initial mass of the isotope was 200g, the undecayed mass remaining after 24 hours is