Question

How many years it would take to spend Avogadro's number of rupees at the rate of 1 million rupees in one second.$(N_A=6.023\times {10}^{23})$

• A. 19.098 x 10¹⁹ years
• B. 19.098 x 10⁹ years
• C. 19.098
• D. None of these

Answer 1

The correct option is B

19.098 x 10⁹ years

Since ${10}^6$ rupees are spend in 1 sec.
Therefore, $6.02\times {10}^{23}$ rupees are spent in =$\frac{1\times 6.022\times {10}^{23}}{{10}^6}$
=$\frac{1\times 6.023\times {10}^{23}}{{10}^{6}60\times 24\times 365}=19.098\times {10}^{9}years$.