Draw a graph showing variation of decay rate with number of active nuclei.

English

Gujarati

Hindi

13.Nuclei

medium

Draw a graph showing the variation of decay rate with number of active nuclei.

Option A

Option B

Option C

Option D

Solution

According to formula,

$\mathrm{I}=-\lambda \mathrm{N}$

$\therefore \mathrm{I}=(-\lambda) \mathrm{N}+0$

Form of above equation is like equation of a straight line, $y=m x+c .$ Hence graph of $\mathrm{I} \rightarrow \mathrm{N}$ is a straight line with slope $(-\lambda)$.

Here graph is obtained in $4^{\text {th }}$ quadrant because $N$ is positive and $I$ is negative.

Standard 12

Physics

After absorbing a slowly moving neutron of mass $m_N$ $(momentum $~ $0)$ a nucleus of mass $M$ breaks into two nuclei of masses $m_1$ and $3m_1$ $(4m_1 = M + m_N)$, respectively. If the de Broglie wavelength of the nucleus with mass $m_1$ is $\lambda$, then de Broglie wavelength of the other nucleus will be

medium

The nuclide $^{131}I$ is radioactive, with a half-life of $8.04$ days. At noon on January $1$, the activity of a certain sample is $60089$. The activity at noon on January $24$ will be

medium

The half life of a radioactive isotope $'X'$ is $20$ years, It decays to another element $'Y'$ which is stable. The two elements $'X'$ and $'Y'$ were found to be in the ratio $1:7$ in a simple of a given rock . The age of the rock is estimated to be…………$years$

hard

(AIPMT-2013)

The rate of disintegration of fixed quantity of a radioactive element can be increased by

easy

A radioactive substance decays to $\left(\frac{1}{16}\right)^{t h}$ of its initial activity in $80\, days.$ The half life of the radioactive substance expressed in days is … .

medium

(JEE MAIN-2021)

Draw a graph showing the variation of decay rate with number of active nuclei.

Solution

Similar Questions

The nuclide $^{131}I$ is radioactive, with a half-life of $8.04$ days. At noon on January $1$, the activity of a certain sample is $60089$. The activity at noon on January $24$ will be

The half life of a radioactive isotope $'X'$ is $20$ years, It decays to another element $'Y'$ which is stable. The two elements $'X'$ and $'Y'$ were found to be in the ratio $1:7$ in a simple of a given rock . The age of the rock is estimated to be…………$years$

The rate of disintegration of fixed quantity of a radioactive element can be increased by

A radioactive substance decays to $\left(\frac{1}{16}\right)^{t h}$ of its initial activity in $80\, days.$ The half life of the radioactive substance expressed in days is … .

Start a Free Trial Now