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Consider the following statements- 1. Every planet moves around the earth in an elliptical orbit with the earth at one of the foci. 2. The line joining the sun to the planet sweeps out equal areas in equal intervals of time. i.e. areal velocity is constant. 3. The square of the period of revolution (T) of any planet around the sun is directly proportional to the cube of the semi-major axis of the orbit Which of the following statement is INCORRECT?

Consider the following statements- 1. Every planet moves around the earth in an elliptical orbit with the earth at one of the foci. 2. The line joining the sun to the planet sweeps out equal areas in equal intervals of time. i.e. areal velocity is constant. 3. The square of the period of revolution (T) of any planet around the sun is directly proportional to the cube of the semi-major axis of the orbit Which of the following statement is INCORRECT? Correct Answer 1 only

CONCEPT:

Kepler’s laws of planetary motion:

  • The law of Orbits: Every planet moves around the sun in an elliptical orbit with the sun at one of the foci.
  • The law of Area: The line joining the sun to the planet sweeps out equal areas in equal intervals of time. i.e. areal velocity is constant.
  • According to this law, the planet will move slowly when it is farthest from the sun and more rapidly when it is nearest to the sun. It is similar to the law of conservation of angular momentum.
  • The law of periods: The square of the period of revolution (T) of any planet around the sun is directly proportional to the cube of the semi-major axis of the orbit i.e. T2 ∝ r3


EXPLANATION:

  • From above it is clear that every planet moves around the sun in an elliptical orbit with the sun at one of the foci. Therefore option 1 is incorrect.

Related Questions

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1. According to Kepler's first law, each planet moves in an elliptical orbit around the sun, the sun being at one of the foci of the ellipse.
2. According to Kepler's Second Law, the radius vector of any planet relative to the sun sweeps out equal areas in equal times, that is the areal velocity of the radius vector of the planet is constant.
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