A radioactive substance Technetium-99 is also used by physicians to examine blood flow to
specific organs and assess organ function or bone growth. It has a very short half-life of about 6
hours. The fraction of this material that would remain after 30 hours will be-
a) 1/32
b) 1/5
c) 1/2
d) 4/5
Answers
Given : half-life of about 6 hours.
To Find : The fraction of this material that would remain after 30 hours
a) 1/32
b) 1/5
c) 1/2
d) 4/5
Solution:
half-life of about 6 hours.
=> Every 6 hours it remains half
Let say Original = N
After 6 hrs = N/2
After 6 + 6 = 12 hrs = (N/2)/2 = N/4
After 12 + 6 = 18 hrs = (N/4)/2 = N/8
After 18 + 6 = 24 hrs = (N/8)/2 = N/16
After 24 + 6 = 30 hrs = (N/16)/2 = N/32
N/32 = (1/32)N
(1/32) fraction of this material would remain after 30 hours
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ANSWER: 1/32
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