A radioactive element has half life period 800 years. After 6400 years what amount will remain?

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13.Nuclei

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A radioactive element has half life period $800$ years. After $6400$ years what amount will remain?

A

$\frac{1}{4}$

B

$\frac{1}{16}$

C

$\frac{1}{8}$

D

$\frac{1}{256}$

(AIPMT-1989)

Solution

Fraction $=\frac{\mathrm{N}}{\mathrm{N}_{0}}=\left(\frac{1}{2}\right)^{\frac{6400}{800}}=\left(\frac{1}{2}\right)^{8}=\frac{1}{256}$

Standard 12

Physics

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