Consider a radioactive nucleus A which decays to a stable nucleus C through following sequence : A t

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13.Nuclei

easy

Consider a radioactive nucleus $A$ which decays to a stable nucleus $C$ through the following sequence : $A \to B \to C$ Here $B$ is an intermediate nuclei which is also radioactive. Considering that there are $N_0$, atoms of $A$ initially, plot the graph showing the variation of number of atoms of $A$ and $B$ versus time.

Option A

Option B

Option C

Option D

Solution

Here at an instant of time when $\mathrm{N}_{\mathrm{B}}=\left(\mathrm{N}_{\mathrm{B}}\right)_{\max }^{\prime}$ growth rate and decay rate have become equal for element B. Before this time, its growth rate is more (than its decay rate) and after this time its decay rate is more (than its growth rate).

Standard 12

Physics

Using a nuclear counter the count rate of emitted particles from a radioactive source is measured. At $t = 0$ it was $1600$ counts per second and $t = 8\, seconds$ it was $100$ counts per second. The count rate observed, as counts per second, at $t = 6\, seconds$ is close to

medium

(AIEEE-2012)

A freshly prepared radioactive sample of half- life $1$ hour emits radiations that are $128$ times as intense as the permissible safe limit. The minimum time after which this sample can be safely used is ………$hours$

medium

If a radioactive material remains $25 \%$ after $16$ days, then its half life will be ……… days

easy

The half life of a radioactive substance is $5$ years. After $x$ years a given sample of the radioactive substance gest reduced to $6.25 \%$ of its initial value of $x$ is ……………

medium

(JEE MAIN-2022)

After $280$ days, the activity of a radioactive sample is $6000\, dps$. The activity reduces to $3000\, dps$ after another $140\, days$. The initial activity of the sample in dps is

medium

(IIT-2004)

Solution

Similar Questions

Using a nuclear counter the count rate of emitted particles from a radioactive source is measured. At $t = 0$ it was $1600$ counts per second and $t = 8\, seconds$ it was $100$ counts per second. The count rate observed, as counts per second, at $t = 6\, seconds$ is close to

A freshly prepared radioactive sample of half- life $1$ hour emits radiations that are $128$ times as intense as the permissible safe limit. The minimum time after which this sample can be safely used is ………$hours$

If a radioactive material remains $25 \%$ after $16$ days, then its half life will be ……… days

The half life of a radioactive substance is $5$ years. After $x$ years a given sample of the radioactive substance gest reduced to $6.25 \%$ of its initial value of $x$ is ……………

After $280$ days, the activity of a radioactive sample is $6000\, dps$. The activity reduces to $3000\, dps$ after another $140\, days$. The initial activity of the sample in dps is

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