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The half life of a radioactive substance is 5 years. After x years a given sample of the radioactive substance gets reduced to 6/25% of its initial value. The value of x is___________.

0 2 Views | Posted a month ago
Asked by Shiksha User

  • 1 Answer

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    Answered by

    Vishal Baghel | Contributor-Level 10

    a month ago

    According to Nuclear activity, we can write

    N 0 → t 1 2 N 0 2 → t 1 2 N 0 4 → t 1 2 N 0 8 → t 1 2 N 0 1 6 = ( 0 . 0 6 2 5 ) N 0         

    Time required = 4 × t 1 2 = 2 0     y r s  

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Determine the number of nuclei that will be decayed upto one average life of radioactive material? (N0 : Initial number of nuclei)

 
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N = N0e–λt

->t = λN = N0/e

So number of nuclei decayed = N0 – N

= N0 (1- 1/e) 

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Density of nuclei is order of 1017 kg m–3.

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Kindly go through the solution '

 

Density of nucleus is of the order of
V
Vishal Baghel

Density of nuclei is order of 1017 kg m-3.

Two radioactive substances X and Y originally have N1 and N2 nuclei respectively. Half life of X is half of the life of Y. After three half lives of Y, number of nuclei of both are equal.

The ratio  N 1 N 2  will be equal to:
V
Vishal Baghel

Number of half lives of Y = 3

Number of half lives of X = 6 [As half life of X is half of that of Y].

N 1 2 6 = N 2 2 3 ⇒ N 1 N 2 = 8

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