13.Nuclei
medium

${}^{66}Cu$ નું રૂપાંતર $Zn$ માં $15\, minutes$ માં $\frac{7}{8}$ નું વિભાજન થાય છે. તો તેનો અર્ધઆયુ ........ મિનિટ

A

$15$

B

$10$

C

$7\frac{1}{2}$

D

$5$

(AIIMS-2008)

Solution

$\frac{7}{8}$ days of Cu decays.

$\therefore $ Cu undecayed, $\mathrm{N}=1-\frac{7}{8}=\frac{1}{8}=\left(\frac{1}{2}\right)^{3}$

$\therefore $ No. of half lifes $=3$

$\mathrm{n}=\frac{\mathrm{t}}{\mathrm{T}}$ or $3=\frac{15}{\mathrm{T}}$

$\Rightarrow$ half life period, $\mathrm{T}=\frac{15}{3}=5$ $minutes$

Standard 12
Physics

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