Which of the Following Products of Ratios Gives the Conversion $\left(\frac{\mathrm{m}}{\mathrm{~s}}\right)$

Multiple Choice

Which of the following products of ratios gives the conversion factors to convert metres per second $\left(\frac{\mathrm{m}}{\mathrm{~s}}\right)$ to parsecs per year $\left(\frac{\text { Parsec }}{\text { Year }}\right)$ ? A parsec is a unit of distance used in astrophysics, and is equal to 3.26 light years. A light year is 9.46 x 1015 m.

A) $\frac{1 \text { parsec }}{3.26 \text { light years }} \frac{1 \text { light year }}{9.46 \times 10^{15} m} \frac{365 \text { days }}{1 \text { year }} \frac{24 \text { hours }}{1 \text { day }} \frac{3600 \mathrm{~s}}{1 \text { hour }}$
B) $\frac{1 \text { parsec }}{3.26 \text { light years }} \frac{1 \text { light year }}{9.46 \times 10^{15} m} \frac{365 \text { days }}{1 \text { year }} \frac{3600 \mathrm{~s}}{1 \text { hour }}$
C)
D) $\frac{1 \text { parsec }}{3.26 \text { light years }} \frac{1 \text { light year }}{9.46 \times 10^{15} m} \frac{1 \text { hour }}{3600 \mathrm{~s}} \frac{24 \text { hours }}{1 \text { day }} \frac{1 \text { year }}{365 \text { days }}$
E) $\frac{1 \text { parsec }}{3.26 \text { light years }} \frac{1 \text { light year }}{9.46 \times 10^{15} m} \frac{365 \text { days }}{1 \text { year }} \frac{24 \text { hours }}{1 \text { day }} \frac{60 \mathrm{~s}}{1 \text { hour }}$