How many years would it take to spend Avogadro number of rupees at the rate of 10 lac rupees per second?
Answer & explanation
Correct answer: option 1
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
\(= \frac{Rs6.023 × 10^{23}}{10^6 × 60 × × 60 × 24 ×365\text{ Rs/ year}}\)
\(= 1.90988 × 10^{10}\, \ years\)