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Physics · Gravitation

JEE Main 2024 — 27 January, Shift 2 — Question 33

Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R ).

Assertion (A): The angular speed of the moon in its orbit about the earth is more than the angular speed of the earth in its orbit about the sun.

Reason (R): The moon takes less time to move around the earth than the time taken by the earth to move around the sun.

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

  1. Option A:

    Both (A) and (R) are true and (R) is the correct explanation of (A).

    Correct
  2. Option B:

    Both (A) and (R) are true and (R) is NOT the correct explanation of (A).

  3. Option C:

    (A) is true but (R) is false.

  4. Option D:

    (A) is false but (R) is true.

Answer: A

Step-by-step solution

ω=2π T⇒ω∝1 T\omega=\frac{2 \pi}{\mathrm{~T}} \Rightarrow \omega \propto \frac{1}{\mathrm{~T}} Tmoon =27\mathrm{T}_{\text {moon }}=27 days Tearth =365\mathrm{T}_{\text {earth }}=365

days 4 hour ⇒ωmoon >ωearth \Rightarrow \omega_{\text {moon }}>\omega_{\text {earth }}

Answer key and solution verified before publishing.

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Exam
JEE Main 2024
Paper
27 January, Shift 2
Subject
Physics
Chapter
Gravitation
Topic
Planetary Motion & Binary Star System (Kepler's Law)
Given below are two statements : one is labelled as Assertion (A) and… | JEE Main 2024 PYQ with Solution · DhiX AI