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>> $A radioactive sample with a half - life$

Question

A radioactive sample with a half-life of 1 month has the label: activity =2 microcuries on 1-8-1991. What would be its activity two months earlier?

1.0 micro curie

0.5 micro curie

4 micro curie

8 micro curie

Hard

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Updated on : 2022-09-05

Solution

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Correct option is D)

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Two radioactive nuclei $P$ and $Q,$ in a given sample decay into a stable nucleus $R .$ At time $t = 0,$ number of $P$ species are $4 N_{0}$ and that of $Q$ are $N_{0} .$ Half-life of $P$ (for conversion to $R$ ) is $1 m i n u t e$ where as that of $Q$ is $2 m i n u t e s .$ Initially there are no nuclei of $R$ present in the sample. When number of nuclei of $P$ and $Q$ are equal, the number of nuclei of $R$ present in the sample would be :

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The activity of a radioactive sample is measured as N $_{0}$ counts per minute at t = 0 and N $_{0}$ /e counts per minute at t = 5 minutes. The time (in minutes) at which the activity reduces to half its value is

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Two radioactive nuclei $P$ and $Q$ , in a given sample decay into a stable nucleolus $R$ . At time $t = 0$ , number of $P$ species are $4$ $N_{0}$ and that of $Q$ are $N_{0}$ . Half-life of $P$ (for conversion to $R$ ) is $1$ minute where as that of $Q$ is $2$ minutes. Initially there are no nuclei of $R$ present in the sample. When number of nuclei of $P$ and $Q$ are equal, the number of nuclei of $R$ present in the sample would be-

Hard

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The mass of $U^{234}$ , with half-life $2.5 \times 1 0^{5}$ , corresponding to its activity of $1$ Curie will be

Medium

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A radioactive sample with a half life of 1 month has the label :'Activity=2 micro curies on 1-8-1991.What would be its activity two months earlier?

Medium

View solution

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Practice more questions

A radioactive sample with a half-life of 1 month has the label: activity =2 microcuries on 1-8-1991. What would be its activity two months earlier?

1.0 micro curie

0.5 micro curie

4 micro curie

8 micro curie

The activity of a radioactive sample is measured as N0​ counts per minute at t = 0 and N0​/e counts per minute at t = 5 minutes. The time (in minutes) at which the activity reduces to half its value is

The mass of U234, with half-life 2.5×105, corresponding to its activity of 1 Curie will be

A radioactive sample with a half life of 1 month has the label :'Activity=2 micro curies on 1-8-1991.What would be its activity two months earlier?

Revise with Concepts

Law of Radioactive Decay

Plot Number of Neutrons vs Protons for Radioactive Decay

Half Life

The activity of a radioactive sample is measured as N $_{0}$ counts per minute at t = 0 and N $_{0}$ /e counts per minute at t = 5 minutes. The time (in minutes) at which the activity reduces to half its value is

The mass of $U^{234}$ , with half-life $2.5 \times 1 0^{5}$ , corresponding to its activity of $1$ Curie will be