Questions: What is the conversion factor for parsecs to lightyears?
(Use decimal notation. Give your answer to two decimal places.)
conversion factor:
What is the conversion factor for lightyears to parsecs?
(Use decimal notation. Give your answer to two decimal places.)
Transcript text: What is the conversion factor for parsecs to lightyears?
(Use decimal notation. Give your answer to two decimal places.)
conversion factor: $\square$
What is the conversion factor for lightyears to parsecs?
(Use decimal notation. Give your answer to two decimal places.)
Solution
Solution Steps
Step 1: Understanding the Conversion Factor
A parsec (pc) is a unit of distance used in astronomy, and it is equivalent to approximately 3.26 lightyears (ly). This means that 1 parsec is equal to 3.26 lightyears.
Step 2: Conversion Factor from Parsecs to Lightyears
To convert parsecs to lightyears, we use the given conversion factor:
\[ 1 \text{ parsec} = 3.26 \text{ lightyears} \]
Step 3: Conversion Factor from Lightyears to Parsecs
To find the conversion factor from lightyears to parsecs, we take the reciprocal of the conversion factor from parsecs to lightyears:
\[ 1 \text{ lightyear} = \frac{1}{3.26} \text{ parsecs} \approx 0.31 \text{ parsecs} \]
Final Answer
The conversion factor for parsecs to lightyears is:
\[
\boxed{3.26 \text{ lightyears per parsec}}
\]
The conversion factor for lightyears to parsecs is:
\[
\boxed{0.31 \text{ parsecs per lightyear}}
\]