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JEE Main 2024 (27 Jan, Shift 2) · Kepler's Laws & Planetary Motion

Kepler's Laws & Planetary Motion question from JEE Main 2024 (27 Jan, Shift 2)

Q7JEE Main 2024 · 27 JAN · SHIFT 2Easy

Kepler's Laws & Planetary Motion

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:

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Answer: (c)

  1. (A) Moon: T≈27T \approx 27 days; earth: T≈365T \approx 365 days. ω=2π/T\omega = 2\pi/T, so the moon's ω\omega is larger: correct.
  2. (R) The moon's period is shorter: correct.
  3. Since ω=2π/T\omega = 2\pi/T, the shorter period is exactly why ω\omega is larger, so (R) explains (A).
  4. So the answer is (c).
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