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JIPMER 2014

Exam: JIPMER
Year: 2014
Subject: Physics
Chapter: Nuclear Physics

JIPMER 2014 · Physics · Nuclear Physics

Remaining quantity (in\%) of radioactive element after 5 half lives...

Remaining quantity (in\%) of radioactive element after 5 half lives is

Options

A $4.125 \%$
B $3.125 \%$
C $31.1 \%$
D $42.125 \%$

Correct answer

B. $3.125 \%$

Step-by-step solution

Remaining quantity

N=N_0\left(\frac{1}{2}\right)^n=N_0\left(\frac{1}{2}\right)^5=\frac{N_0}{32}

In percentage,

N=\frac{N_0}{30 \times N_0} \times 100=3.125 \%

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