Question:

When earth moves round the sun, the quantity which remains constant is:

Updated On: Jun 20, 2022
  • angular velocity
  • kinetic energy
  • potential energy
  • areal velocity
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The Correct Option is D

Solution and Explanation

When earth moves round the sun then according to Keplers second law, the radius vector drawn from the sun to earth, sweeps out equal areas in equal time, i. e., its areal velocity (or the area swept out by it per unit time) is constant. While in such motion, angular velocity, kinetic energy and potential energy change.
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Concepts Used:

Gravitation

In mechanics, the universal force of attraction acting between all matter is known as Gravity, also called gravitation, . It is the weakest known force in nature.

Newton’s Law of Gravitation

According to Newton’s law of gravitation, “Every particle in the universe attracts every other particle with a force whose magnitude is,

  • F ∝ (M1M2) . . . . (1)
  • (F ∝ 1/r2) . . . . (2)

On combining equations (1) and (2) we get,

F ∝ M1M2/r2

F = G × [M1M2]/r2 . . . . (7)

Or, f(r) = GM1M2/r2

The dimension formula of G is [M-1L3T-2].