10, gm of radioactive material of half-life 15 year is kept in store for 20 years. disintegrated mat

English

Gujarati

Hindi

13.Nuclei

medium

$10\, gm$ of radioactive material of half-life $15$ year is kept in store for $20$ years. The disintegrated material is ............$gm$

A

$12.5 $

B

$10.5$

C

$6.04$

D

$4.03 $

Solution

(c) Remaining material $N = \frac{{{N_0}}}{{{2^{t/T}}}}$

$ \Rightarrow N = \frac{{10}}{{{{(2)}^{20/15}}}} = \frac{{10}}{{2.15}} = 3.96\;gm$

So decayed material $ = 10 – 3.96 = 6.04\;gm$

Standard 12

Physics

Share

Similar Questions

The activity of a radioactive sample

easy

The half-life of radon is $3.8\, days$. Three forth of a radon sample decay in …………$days$

medium

$99\%$ of a radioactive element will decay between

medium

Carbon $ – 14$ decays with half-life of about $5,800\, years$. In a sample of bone, the ratio of carbon $ – 14$ to carbon $ – 12$ is found to be $\frac{1}{4}$ of what it is in free air. This bone may belong to a period about $x$ centuries ago, where $x$ is nearest to

medium

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