A planet revolves about the sun in elliptical orbit of semi-major axis 2 x 10 12 m. The areal velocity of the planet when it is nearest to the sun is 4.4 x 10 16 m 2 /s. The least distance between planet and the sun is 1 .8 x 10 12 m. The minimum speed of the planet in km/s is 10K. Value of K is
Text Solution
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Area covered by line joining planet and sun in time dt is
; Areal velocity

, where
distance between planet and sun
angular speed of planet about the sun. From kepler's second low, areal velocity of planet is constant. At farthest position


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