Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • Medical
  • Half life of radium is 1620 year. How many radium nuclei decay in 5 hour in radium. (Atomic weight of radium <

Half life of radium is 1620 year. How many radium nuclei decay in 5 hour in 5 \, \mathrm{gm} radium. (Atomic weight of radium = 223).

Option: 1

9.1 \times 10^{12}


Option: 2

3.23 \times 10^{15}


Option: 3

1.72 \times 10^{20}


Option: 4

3.3 \times 10^{17}


Answers (1)

best_answer

\mathrm{\text{Number of nuclei initially}=\frac{5}{223} \times 6.02 \times 10^{23}}
\mathrm{\Rightarrow N_0=13.5 \times 10^{21} }

\mathrm{t_{1 / 2}=1620 \times 365 \times 29 \, \mathrm{hrs} }
        \mathrm{=1.41 \times 10^7 \mathrm{hrs}}.

\mathrm{N=\frac{N_0}{t^{t / t_1 / 2}}=\frac{N_0}{2^{5 / 1.41 \times 10^7}}}

Number of nuclei decayed
\mathrm{=N_0-N=N_0-\frac{N_0}{2^{5 / 1.41 \times 10^7}} }
\mathrm{=3.15 \times 10^{15} }

Posted by

Gaurav

View full answer

NEET 2024 Most scoring concepts

    Just Study 32% of the NEET syllabus and Score up to 100% marks

Similar Questions

Trending Articles/News

anam-khan

NEET UG 2026 Paper Leak: Biology lecturer, part of NTA's paper-setting committee for NEET, arrested
anam-khan

NEET Paper Leak: Student dies by suicide in Rajasthan’s Sikar amid controversy
anam-khan

NTA opens NEET UG 2026 re-exam correction window to modify address, select choice of cities

Latest Question