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CBSE Class 10 Answered

  IF RADIUS  OF EARTH INCREASES BY 1% AND ITS MASS REMMAINS  SAME THEN BY  WHAT PERCENTAGE WILL  ACCLERATION DUE TO GRAVITY INCREASE/DECREASE.
Asked by rmishrar156 | 01 Sep, 2018, 12:46: PM
answered-by-expert Expert Answer
acceleration due to gravity g,
begin mathsize 12px style g space equals space fraction numerator G M over denominator R squared end fraction space equals space k over R squared space comma space k space i s space c o n s tan t
ln space g space equals space ln space k minus 2 space ln R space.......... left parenthesis 1 right parenthesis
d i f f e r e n t i a t e space left parenthesis 1 right parenthesis comma space fraction numerator d g over denominator g end fraction space equals space minus 2 fraction numerator d R over denominator R end fraction space space
fraction numerator d g over denominator g end fraction cross times 100 space equals space minus 2 fraction numerator d R over denominator R end fraction space cross times 100 space equals space minus 2 percent sign end style
Answered by Thiyagarajan K | 01 Sep, 2018, 03:19: PM
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