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>>Class 12
>>Physics
>>Nuclei
>>First Order Radioactive Decay
>> $The initial number of atoms of a radioac$

Question

The initial number of atoms of a radioactive element with half life $100$ days, is $9.6 \times 1 0^{26}$ . The number of atoms remaining undecayed after $500$ days, will be

A

$9.6 \times 1 0^{25}$

B

$3.84 \times 1 0^{25}$

C

$3 \times 1 0^{25}$

D

$19.2 \times 1 0^{25}$

Medium

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Updated on : 2022-09-05

Solution

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Correct option is C)

Fraction undecayed after $500$ days is $= \frac{9 . 6 \times 1 0 ^{26}}{2 ^{(500 / 100)}} = \frac{9 . 6 \times 1 0 ^{26}}{3 2} = 3 \times 1 0^{25}$

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