Given below are two statements: Statements I: Astronomical unit (Au)… | JEE Main 2023 (11 Apr, Shift 1)

Q37JEE Main 2023 · 11 APR · SHIFT 1Medium

Units & Dimensions

Given below are two statements:

Statements I: Astronomical unit (Au), Parsec (Pc) and Light year (ly) are units for measuring astronomical distances.

Statements II: $\text{Au} < \text{Parsec(Pc)} < \text{ly}$

In the light of the above statements, choose the most appropriate answer from the options given below:

Show answer and solution

Answer: (d)

Statement I: AU, parsec and light year are all units of astronomical distance, so it is correct.
$1\ \text{AU} \approx 1.5\times10^{11}$ m, $1\ \text{ly} \approx 9.46\times10^{15}$ m, $1\ \text{pc} \approx 3.08\times10^{16}$ m.
So AU < ly < pc; Statement II (AU < pc < ly) is wrong.
So the answer is (d).

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