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Statements on Kepler's laws and areal velocity

This type of question, asked 4 times: 2021 Paper 10, 2021 Paper 25, 25 Jan 2023, 7 Apr 2025. All 4 questions below, oldest first.

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  1. Question 1

    2021 Paper 10

    13
    The angular momentum of a planet of mass MM moving around the sun in an elliptical orbit is L→\overrightarrow{L}. The magnitude of the areal velocity of the planet is:

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  2. Question 2

    2021 Paper 25

    16
    A planet revolving in elliptical orbit has: A. a constant velocity of revolution. B. has the least velocity when it is nearest to the sun. C. its areal velocity is directly proportional to its velocity. D. areal velocity is inversely proportional to its velocity. E. to follow a trajectory such that the areal velocity is constant. Choose the correct answer from the options given below:

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  3. Question 3

    25 Jan 2023

    101
    Every planet revolves around the sun in an elliptical orbit: - A. The force acting on a planet is inversely proportional to square of distance from sun. B. Force acting on planet is inversely proportional to product of the masses of the planet and the sun. C. The Centripetal force acting on the planet is directed away from the sun. D. The square of time period of revolution of planet around sun is directly proportional to cube of semi-major axis of elliptical orbit. Choose the correct answer from the options given below:

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  4. Question 4

    7 Apr 2025

    81
    Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A) : The radius vector from the Sun to a planet sweeps out equal areas in equal intervals of time and thus areal velocity of planet is constant. Reason (R) : For a central force field the angular momentum is a constant. In the light of the above statements, choose the most appropriate answer from the options given below :

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