JEE Mains · Physics · STD 11 - Gravitation
- JEE Mains 2024
- Hard
- MCQ
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:
Pick an option to check your answer.
Answer & Solution
Correct Answer
(B) Both \((A)\) and \((R)\) are correct and \((R)\) is the correct explanation of \((\mathrm{A})\)
Step-by-step Solution
Detailed explanation
\( \omega=\frac{2 \pi}{\mathrm{T}} \Rightarrow \omega \propto \frac{1}{\mathrm{~T}} \)
\( \mathrm{~T}_{\text {moon }}=27 \text { days } \)
\( \mathrm{T}_{\text {earth }}=365 \text { days } 4 \text { hour }\)
\( \Rightarrow \omega_{\text {moon }}>\omega_{\text {earth }}\)
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