Question

The mass of Venus is $4.8\times {10}^{24}\text{kg}$ and of Mercury is $3.2\times {10}^{23}\text{kg}$. The mass of Venus is ___ times of that of Mercury.

• A. 150
• B. 15
• C. 1.5
• D. 0.15

Answer 1

The correct option is B 15

$\frac{\text{Mass of Venus}}{\text{Mass of Mercury}}=\frac{4.8\times {10}^{24}\text{kg}}{3.2\times {10}^{23}\text{kg}}$
$=\frac{4.8}{3.2}\times \frac{{10}^{24}}{{10}^{23}}=1.5\times 10(\because \frac{a^m}{a^n}=a^{m-n})=15$