• # question_answer Consider the following statements: 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. Which of the statement(s) given above is/are correct? A)  Only 1  B)  Only 2 C)  Both 1 and 2     D)  neither 1 nor 2

Solution :

[c] Kepler's three laws of planetary motion can be described as follows:  (1) The path of the planets about the sun is elliptical in shape, with the centre of the sun being located at one focus. (The Law of Ellipses) (2) An imaginary line drawn from the centre of the sun to the centre of the planet will sweep out equal areas in equal intervals of time. (The Law of Equal Areas) (3) The ratio of the squares of the periods of any two planets is equal to the ratio of the cubes of their average distances from the sun. (The Law of Harmonies)

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