Question

The normal duration of I.Sc. Physics practical period in Indian colleges is 100 minutes. Express this period in microcenturies. 1 microcentury = 10⁻⁶ × 100 years. How many microcenturies did you sleep yesterday?

Answer 1

1 microcentury = 10⁻⁶ × 100 years = 10⁻⁴ × 365 × 24 × 60 minutes
$$\begin{gathered} 1\min =\frac{1}{{10}^{-4}\times 365\times 24\times 60}\mathrm{microcentury} \\ \Rightarrow 100\min =\frac{1}{{10}^{-4}\times 365\times 24\times 60}\times 100=\frac{{10}^5}{365\times 144}=1.9\mathrm{microcenturies} \end{gathered}$$

Suppose, I slept x minutes yesterday.
∴ x min = 0.019x microcenturies