NEET UG PHYSICS MCQ: NUCLEI

1 Hard

1 of 1

Application +4 | -1

A sample of radioactive material can decay by two processes

A

and

B

with half-lives

\frac{1}{2}

hour and

\frac{1}{4}

bour respectively. Now, the radioactive sample decays for 7 hour in such a way that for 1 hour it decays according to process

{A}

and for next hour decays according to

{B}

and this decaying with different processes in alternate hours continues upto 6 hour and then, in

7^{\text {th}}

hour, it decays simultaneously with both the processes. If

{N}_0

nuclei of sample are present at

t=0

, then number of radioactive nuclei after 7 hour would be

View answer and explanation

Correct option: B

\frac{{N}_0}{2^{24}}

Option B (

\frac{{N}_0}{2^{24}}

) is correct because it accounts for the decay during alternating hours with different half-lives and the final hour with both processes.

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