PYQ Vault
EbooksTutor

Dependence of orbital period on radius when gravity follows a different power law

The same question, asked 2 times: 10 May 2023 S1*, 12 May 2024 S1. Every wording below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    10 May 2023 S1

    40
    A small planet is revolving around a very massive star in a circular orbit of radius 'R' with a period of revolution 'T'. If the gravitational force between the planet and the star were proportional to 'R−5/2R^{-5/2}', then 'T' would be proportional to

    Tap an option to check your answer.

  2. Question 2

    12 May 2024 S1

    46
    Consider a light planet revolving around a massive star in a circular orbit of radius rr with time period TT. If the gravitational force of attraction between the planet and the star is proportional to r−7/2r^{-7/2} then T2T^{2} is proportional to

    Tap an option to check your answer.