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Physics Ray Optics Mix MCQ (Single Correct)

In radioactivity decay according to law N = N 0 e – π t which of the following is/are true ?

Probability that a nucleus will decay is 1 – e – λ t

Probability that a nucleus will decay four half lives is 15/16

Fraction nuclei that will remain after two half lives is zero

Fraction of nuclei that will remain after two half-lives is ¼

Text Solution

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The correct answer is:

CHECK THE SOLUTION.

(a, b, d)

≡ fraction of nuclei that will not decay

1 – N/N 0 ≡ fraction of nuclei that will decay

1 – N/N 0 ≡ 1 – e – λ t ≡ Probability that a nucleus will decay

Also, N/N 0 =

where n is the number of half lives

= =

1 – = 1 – = ;

Probability that a nucleus will decay

= = ;fraction of nuclei that will remain after two half lives

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