Q.

A planet revolves around the sun in elliptical orbit. The areal velocity (dAdt)  of the planet is 4.0×1016m2/s.  The least distance between planet and the sun is  2×1012m. Then the maximum speed of the planet in km/s is 

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answer is 40.

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Detailed Solution

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  L2m=dAdt     (L= angular momentum )
  
mvmax  rmin2m=dAdt;vmax=2dA/dtrmin=40

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