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Units And Measurement

Question
CBSEENPH11017666

State and prove Kepler's second law.

                         OR

State Kepler’s second law and prove that it is based on the law of conservation of angular momentum.

Solution
The second law of planetary motion states that the arial velocity of a planet is constant. 
We  know that,
          L with rightwards harpoon with barb upwards on top equals space 2 straight m space fraction numerator rightwards arrow for capital delta capital alpha of over denominator capital delta t end fraction
 
 rightwards double arrow space space fraction numerator rightwards arrow for ΔΑ of over denominator Δt end fraction equals fraction numerator rightwards arrow for straight L of over denominator 2 straight m end fraction     
The gravitational force exerted by the sun on planet produces zero torque, therefore, angular momentum straight L with rightwards harpoon with barb upwards on top of the planet is constant. 
rightwards double arrow space space fraction numerator rightwards arrow for ΔA of over denominator ΔT end fraction equalsConstant. 
Hence the result.