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>>Class 12
>>Physics
>>Nuclei
>>First Order Radioactive Decay
>> $The activity of a radioactive nuclide (X$

Question

The activity of a radioactive nuclide (X $^{100}$ ) is $6.023$ curie. If its disintegration constant is
$3.7$ x $10$ $^{4}$ sec $^{- 1}$ , then the mass of X is

A

10 $^{- 23} g$

B

10 $^{- 15} g$

C

10 $^{- 16} g$

D

10 $^{- 14} g$

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Updated on : 2022-09-05

Solution

Verified by Toppr

Correct option is B)

$λ = 3.7 \times 1 0^{4} 8^{- 1}$

$1 c u r i e = 3.7 \times 1 0^{10}$ decays/sec

Activity $R = λ N$

$\frac{6 . 0 2 3}{3 . 7 \times 1 0 ^{4}} \times 3.7 \times 1 0^{10} = \frac{M}{1 0 0} \times 6.023 \times 1 0^{23}$

$1 0^{- 15} g m = M$

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