Ther percentage of ${ }^{235} U$ presently on earth is $0.72$ and the rest $(99.28 \%)$ may be taken to be ${ }^{233} U$. Assume that all uranium on earth was produced in a supernova explosion long ago with the initial ratio ${ }^{235} U /^{335} U =2.0$. How long ago did the supernova event occur? (Take the half-lives of ${ }^{235} U$ and ${ }^{238} U$ to be $7.1 \times 10^5$ years and $4.5 \times 10^{9}$ years respectively)
Ther percentage of ${ }^{235} U$ presently on earth is $0.72$ and the rest $(99.28 \%)$ may be taken to be ${ }^{233} U$. Assume that all uranium on earth was produced in a supernova explosion long ago with the initial ratio ${ }^{235} U /^{335} U =2.0$. How long ago did the supernova event occur? (Take the half-lives of ${ }^{235} U$ and ${ }^{238} U$ to be $7.1 \times 10^5$ years and $4.5 \times 10^{9}$ years respectively)
- [KVPY 2021]
- A
$4 \times 10^9$ years
- B
$5 \times 10^9$ years
- C
$6 \times 10^9$ years
- D
$7 \times 10^9$ years
Similar Questions
Which of the following statements are true regarding radioactivity
$(I)$ All radioactive elements decay exponentially with time
$(II)$ Half life time of a radioactive element is time required for one half of the radioactive atoms to disintegrate
$(III)$ Age of earth can be determined with the help of radioactive dating
$(IV)$ Half life time of a radioactive element is $50\%$ of its average life periodSelect correct answer using the codes given belowCodes :
Which of the following statements are true regarding radioactivity
$(I)$ All radioactive elements decay exponentially with time
$(II)$ Half life time of a radioactive element is time required for one half of the radioactive atoms to disintegrate
$(III)$ Age of earth can be determined with the help of radioactive dating
$(IV)$ Half life time of a radioactive element is $50\%$ of its average life periodSelect correct answer using the codes given belowCodes :
The half life of radioactive Radon is $3.8$ days. The time at the end of which $1/{20^{th}}$ of the Radon sample will remain undecayed is ........... $day$ (Given ${\log _{10}}e = 0.4343$)
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- [IIT 1981]
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- [AIEEE 2012]
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