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Differential Equations and Modeling — Applied Maths STD 12 Science — Question

CBSE BoardEnglish MediumSTD 12 ScienceApplied MathsDifferential Equations and Modeling1 Mark
MCQ
Systems that exhibit exponential growth have a constant doubling time, which is given by:
  • ✓
    $\frac{\log 2}{k}$
  • B
    $\frac{k}{\log 2}$
  • C
    k. $\log 2$
  • D
    None of these
✓

Answer

Correct option: A.
$\frac{\log 2}{k}$
A
Explanation: If a quantity decays exponentially, the half-life is the amount of time it takes the quantity to be reduced by half. It is given by $\frac{\log 2}{k}$

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