There are 10¹⁰ radioactive nuclei in a given radioactive element, its half-time is 1 minute. How many nuclei will remain after 30 seconds?

$(\sqrt[]{2} = 1.414)$

Option 1 - 7 × 1099

Option 2 - 105

Option 3 - 4 × 1010

Option 4 - 2 × 1010

2 Views|Posted 6 months ago

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Answered by

Vishal Baghel | Contributor-Level 10

6 months ago

Correct Option - 1

Detailed Solution:

$\frac{N}{N_{0}} = {(\frac{1}{2})}^{t |_{t_{1} | 2}}$

$\Rightarrow N = 1 0^{10} * {(\frac{1}{2})}^{\frac{1}{2}} = \frac{1 0^{10}}{\sqrt[]{2}} ? 7 * 1 0^{9}$

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