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JIPMER 2011
Exam
JIPMER
Year
2011
Subject
Chemistry
Chapter
Chemical Kinetics

JIPMER 2011 · Chemistry · Chemical Kinetics

2 g of a radioactive sample having half-life of 15 days was...

2 g of a radioactive sample having half-life of 15 days was synthesised on 1st Jan 2009. The amount of the sample left behind on 1st March, 2009 (including both the days) is

Options

  1. A0 g
  2. B0.125 g
  3. C1 g
  4. D0.5 g

Correct answer

B. 0.125 g

Step-by-step solution

N=N0(12)nN=N_0\left(\frac{1}{2}\right)^n Given, N0=2 g\quad N_0=2 \mathrm{~g} t1/2=15t_{1/2}=15 days t=60t=60 days ⇒n=6015=4\Rightarrow \quad n=\frac{60}{15}=4 ∴N=2(12)4\therefore \quad N=2\left(\frac{1}{2}\right)^4 or N=0.125 g\quad N=0.125 \mathrm{~g}
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