Half-life of a radioactive nuclide is 100 ,hours. fraction of original activity that will remain aft

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13.Nuclei

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The half-life of a radioactive nuclide is $100 \,hours.$ The fraction of original activity that will remain after $150\, hours$ would be :

A

$\frac{1}{2}$

B

$\frac{1}{2 \sqrt{2}}$

C

$\frac{2}{3}$

D

$\frac{2}{3 \sqrt{2}}$

(NEET-2021)

Solution

$\frac{A}{A_{0}}=\left(\frac{1}{2}\right)^{\mathrm{t} / T_{\mathrm{H}}}=\left(\frac{1}{2}\right)^{150 / 100}=\frac{1}{2 \sqrt{2}}$

Standard 12

Physics

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