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Half life of radioactive material

The population of active nuclei in a sample of radioactive iso

Question

Medium

Solving time: 3 mins

The population of active nuclei in a sample of radioactive isotope has been plotted with time in figure. Look at the graph carefully and find the value of $t_{2} - t_{1}$ . It is given that $t_{0} = 50$ minute.

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Book:

Problems in Physics II for IIT JEE (McGraw Hill)

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Noah Discussed

The population of active nuclei in a sample of radioactive isotope has been plotted with time in figure. Look at the graph carefully and find the value of

t_{2} - t_{1}

. It is given that

t_{0} = 50

minute.

8 mins ago

Discuss this question LIVE

8 mins ago

Text solutionVerified

In interval 0 to

t_{0}

the population becomes

\frac{1}{4}

of original.

∴ t_{0} = 2 \times

Half life

∴

Half life

= 25 min

In interval

t_{1}

t_{2}

the population becomes half.

∴ t_{2} - t_{1} = 25 min

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Question Text	The population of active nuclei in a sample of radioactive isotope has been plotted with time in figure. Look at the graph carefully and find the value of $t_{2} - t_{1}$ . It is given that $t_{0} = 50$ minute.
Topic	Nuclei
Subject	Physics
Class	Class 12
Answer Type	Text solution:1
Upvotes	65

The population of active nuclei in a sample of radioactive isotope has been plotted with time in figure. Look at the graph carefully and find the value of $t_{2} - t_{1}$ . It is given that $t_{0} = 50$ minute.

Text solutionVerified

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The population of active nuclei in a sample of radioactive isotope has been plotted with time in figure. Look at the graph carefully and find the value of t2​−t1​. It is given that t0​=50 minute.

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Practice questions from Problems in Physics II for IIT JEE (McGraw Hill)

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The population of active nuclei in a sample of radioactive isotope has been plotted with time in figure. Look at the graph carefully and find the value of $t_{2} - t_{1}$ . It is given that $t_{0} = 50$ minute.