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JIPMER 2010
Exam
JIPMER
Year
2010
Subject
Physics
Chapter
Nuclear Physics

JIPMER 2010 · Physics · Nuclear Physics

The half-life of a radio-isotope is 4 h . If initial mass of the...

The half-life of a radio-isotope is 4 h . If initial mass of the isotope was 200 g , then mass remaining after 24 h will be

Options

  1. A1.042 g
  2. B2.084 g
  3. C3.125 g
  4. D4.167 g

Correct answer

C. 3.125 g

Step-by-step solution

M=M0(12)t/1/2∴M=200(12)24/4=200(12)6=20064=3.125 g\begin{aligned} & M=M_0\left(\frac{1}{2}\right)^{t / 1 / 2} \\ & \therefore \quad M=200\left(\frac{1}{2}\right)^{24 / 4}=200\left(\frac{1}{2}\right)^6=\frac{200}{64}=3.125 \mathrm{~g}\end{aligned}
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