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Half life of radioactive material

A freshly prepared sample of a certain radioactive isotope has

Question

Medium

Solving time: 3 mins

A freshly prepared sample of a certain radioactive isotope has an activity of $10 mCi$ . After $4.0 h$ its activity is $8.00 mCi$ . (a) Find the decay constant and half-life (b) How many atoms of the isotope were contained in the freshly prepared sample? (c) What is the sample's activity $30.0 h$ after it is prepared?

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Book:

Optics And Modern Physics (DC Pandey)

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A freshly prepared sample of a certain radioactive isotope has an activity of

10 mCi

. After

4.0 h

its activity is

8.00 mCi

. (a) Find the decay constant and half-life (b) How many atoms of the isotope were contained in the freshly prepared sample? (c) What is the sample's activity

30.0 h

after it is prepared?

6 mins ago

Discuss this question LIVE

6 mins ago

Text solutionVerified

(a)

R = R_{0} e^{- λ t}

R_{0} = 20 MCI

R = 8 MCI

t = 4.0 h

Find

λ

. (b)

R_{0} = λ N_{0}

. Find

N_{0} = \frac{R _{0}}{λ}

R = R_{0} e^{- λ t}

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Question Text	A freshly prepared sample of a certain radioactive isotope has an activity of $10 mCi$ . After $4.0 h$ its activity is $8.00 mCi$ . (a) Find the decay constant and half-life (b) How many atoms of the isotope were contained in the freshly prepared sample? (c) What is the sample's activity $30.0 h$ after it is prepared?
Topic	Nuclei
Subject	Physics
Class	Class 12
Answer Type	Text solution:1
Upvotes	128

Text solutionVerified

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