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The activity of a nucleus is inversely p...

The activity of a nucleus is inversely proportional to its half of average life. Thus, shorter the half life of an element, greater is its radioactivity, i.e., greater the number of atomsd disintegrating per second. The relation between half life and average life is `t_(1//2) = (0.693)/(lambda) = tau xx 0.693`
or `tau = 1.44 t_(1//2)`
The half life of a radioactive element is 10 years. What percentage of it will decay in 100 years? a).999 b).1 c).5 d).665

A

0.001

B

1

C

0.999

D

0.1

Text Solution

Verified by Experts

The correct Answer is:
c
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The activity of a nucleus is inversely proportional to its half of average life. Thus, shorter the half life of an element, greater is its radioactivity, i.e., greater the number of atomsd disintegrating per second. The relation between half life and average life is t_(1//2) = (0.693)/(lambda) = tau xx 0.693 or tau = 1.44 t_(1//2) Mark the incorrect relation.

The activity of a nucleus is inversely proportional to its half of average life. Thus, shorter the half life of an element, greater is its radioactivity, i.e., greater the number of atomsd disintegrating per second. The relation between half life and average life is t_(1//2) = (0.693)/(lambda) = tau xx 0.693 or tau = 1.44 t_(1//2) The half-life periods of four isotopes are given 1 = 6.7 years, II = 8000 years, III = 5760 years, IV = 2.35 xx 10^(5) years. Which of these is most stable?

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