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Given below are two statements:
Statement I: Astronomical unit (Au), Parsec (Pc) and Light year (ly) are units for measuring astronomical distances.
Statement II: Au < Parsec (Pc) < ly
In the light of the above statements, choose the most appropriate answer from the options given below:
Statement I: Astronomical unit (Au), Parsec (Pc) and Light year (ly) are all units used for measuring astronomical distances. This is correct.
Statement II: Au < Parsec (Pc) < ly
The actual values are:
$$1 \text{ AU} \approx 1.496 \times 10^{11}$$ m
$$1 \text{ ly} \approx 9.461 \times 10^{15}$$ m
$$1 \text{ Pc} \approx 3.086 \times 10^{16}$$ m
So the correct order is: $$\text{Au} < \text{ly} < \text{Pc}$$
Statement II says Au < Pc < ly, which places Parsec before Light year. This is incorrect since 1 Pc is actually larger than 1 ly.
Therefore, Statement I is correct but Statement II is incorrect, which is Option B.
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