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AIIMS 2007
Exam
AIIMS
Year
2007
Subject
Chemistry
Chapter
Chemical Kinetics

AIIMS 2007 · Chemistry · Chemical Kinetics

Decay constant of a radioactive substance is (69.3 ~sec^ -1 ), find...

Decay constant of a radioactive substance is (69.3 \mathrm{~sec}^{-1}), find t1/16t_{1/16} of the same substance.

Options

  1. A(4 \times 10^{-2} \mathrm{~sec})
  2. B(2 \times 10^{-2} \mathrm{~sec})
  3. C(1 \times 10^{-2} \mathrm{~sec})
  4. DNone of these

Correct answer

A. (4 \times 10^{-2} \mathrm{~sec})

Step-by-step solution

(1 \stackrel{t_{1/2}}{\longrightarrow} 12⟶t1/214⟶t1/218⟶t1/2116\frac{1}{2} \stackrel{t_{1/2}}{\longrightarrow} \frac{1}{4} \stackrel{t_{1/2}}{\longrightarrow} \frac{1}{8} \stackrel{t_{1/2}}{\longrightarrow} \frac{1}{16}) So, t1/16=4t1/2t_{1/16}=4 t_{1/2} (=4 ×0.693λ=\times \frac{0.693}{\lambda}=4 ×0.69369.3=\times \frac{0.693}{69.3}=4 ×\times10^{-2} sec.\mathrm{sec} .)
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