SATHEE: Modern Physics 3 Question 33

Modern Physics 3 Question 33

34. The radioactive decay rate of a radioactive element is found to be $10^{3}$ disintegration/second at a certain time. If the half-life of the element is one second, the decay rate after one second is ……. and after three seconds is.

$(1983, 2 M)$

Analytical & Descriptive Questions

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Solution:

$R = R_{0} {\frac{1}{2}}^{n}$

Here $R_{0} =$ initial activity $= 1000$ disintegration $/ s$

and $n =$ number of half-lives.

$\begin{aligned} At t = 1 s, n = 1 \\ ∴ R = 10^{3} \frac{1}{2} = 500 disintegration / s \\ At t = 3 s, n = 3 \\ R = 10^{3} {\frac{1}{2}}^{3} = 125 disintegration / s \end{aligned}$

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Modern Physics 3 Question 33

34. The radioactive decay rate of a radioactive element is found to be $10^{3}$ disintegration/second at a certain time. If the half-life of the element is one second, the decay rate after one second is ……. and after three seconds is.

Analytical & Descriptive Questions

Solution:

इंजीनियरिंग की तैयारी

चिकित्सा तैयारी

एनसीईआरटी पुस्तकें और समाधान

महत्वपूर्ण संसाधन

अन्य संसाधन

पाठ्यक्रम

परीक्षा मंच

नमूना मॉक टेस्ट

सदस्यता

एनसीईआरटी व्यायाम वीडियो समाधान

Modern Physics 3 Question 33

34. The radioactive decay rate of a radioactive element is found to be 103 disintegration/second at a certain time. If the half-life of the element is one second, the decay rate after one second is ……. and after three seconds is.

Analytical & Descriptive Questions

Solution:

इंजीनियरिंग की तैयारी

चिकित्सा तैयारी

एनसीईआरटी पुस्तकें और समाधान

महत्वपूर्ण संसाधन

अन्य संसाधन

पाठ्यक्रम

परीक्षा मंच

नमूना मॉक टेस्ट

सदस्यता

एनसीईआरटी व्यायाम वीडियो समाधान

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34. The radioactive decay rate of a radioactive element is found to be $10^{3}$ disintegration/second at a certain time. If the half-life of the element is one second, the decay rate after one second is ……. and after three seconds is.