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JEE Main 202311 AprilMorning Shift
Exam
JEE Main
Year
2023
Date
11 April
Shift
Morning Shift
Subject
Physics
Chapter
Units and Dimensions

JEE Main 2023 · 11 April · Morning Shift · Physics · Units and Dimensions

Given below are two statements : Statement I : Astronomical unit...

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:

Options

  1. ABoth Statements I and Statements II are incorrect
  2. BStatements I is correct but Statements II is incorrect
  3. CBoth Statements I and Statements II are correct
  4. DStatements I is incorrect but Statements II is correct

Correct answer

B. Statements I is correct but Statements II is incorrect

Step-by-step solution

Astronomical unit denotes roughly the distance from Earth to the Sun. Parsec is a unit of length used to measure the large distances to astronomical objects outside the Solar System. A light-year is another large unit of length used to express astronomical distances.

The relation between these units are as follows:

1Parsec=2×105Au1\text{Parsec} = 2 \times {10}^{5}Au

1Au=1.58×10−5ly1Au = 1 .58 \times {10}^{- 5}ly

Thus, 1Au<ly<Parsec1Au < \text{ly} < \text{Parsec}.

Hence, Statements I is true but Statements II is false.

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