How many years would it take to spend Avogadro number of rupees at the rate of 10 lac rupees per second?

\(1.90988 × 10^{10}\, \ years\)

The correct answer is option 1. \(1.90988 × 10^{10}\, \ years\).

We know,

Avogadro's number \(= 6.023 × 10^{23}\)

Total rupees \(= 6.023 × 10^{23}\)

Rate of spending \(= 10\text{ lac rupees/s} = 10^6\text{ Rs/s}\)

Number of years to spend all the rupees

\(= \frac{Rs6.023 × 10^{23}}{10^6 × 60 × × 60 × 24 ×365\text{ Rs/ year}}\)

\(= 1.90988 × 10^{10}\, \ years\)