The half life of radioctive nuclei is $3$ minute. What fraction of $1$ $g m$ of this element will remain after $9$ minute?

\frac{1}{2}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

\frac{1}{4}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

\frac{1}{8}

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

\frac{1}{16}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is C $\frac{1}{8}$
Fraction left is $1 / 2^{(9 / 3)} = 1 / 2^{3} = 1 / 8$

Suggest Corrections

Similar questions

Q. Half-lives of two radioactive elements A and B are 20 minutes and 40 minutes respectively. Initially the samples have equal number of nuclei. After 80 minutes, the ratio of decayed numbers of A and B nuclei will be

Q. In a sample of radioactive material what fraction of the initial number of active nuclei will remain undisintigrated after half life of the sample?
1) 1/4. 2) 1/2 3) 1/2^1/24) 1

Half-lives of two radioactive elements A and B are 20 minutes and 40 minutes, respectively. Initially, the samples have equal number of nuclei. After 80 minutes, the ratio of decayed numbers of A and B nuciei will be:

Q. What fraction of a reactant showing first order remains after 40 minute if

t_{1 / 2}

is 20 minute?

Q. 16 gm sample of a radioactive element is taken from Bombay to Delhi in 2 hour and it was found that 1 gm of the element remained (undisintegrated). Half life of the element is

Join BYJU'S Learning Program

The half life of radioctive nuclei is 3 minute. What fraction of 1 gm of this element will remain after 9 minute?

The correct option is C 18Fraction left is 1/2(9/3)=1/23=1/8

The half life of radioctive nuclei is $3$ minute. What fraction of $1$ $g m$ of this element will remain after $9$ minute?

The correct option is C $\frac{1}{8}$
Fraction left is $1 / 2^{(9 / 3)} = 1 / 2^{3} = 1 / 8$