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Check the correctness of F=Gm1m2/r2 Is it dimensionally correct ? |
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Answer» Given equation is DIMENSIONALLY incorrect. Explanation:Your QUESTION:- To CHECK the given equation is dimensionally correct or not?Your solution:-Dimension of force=[M^1 L^1 T^-2]Dimension of m1 and m2= [M^2]Dimension of r^2= [L^2] (-ve indicates it is in division)Dimension of G=0 (As it is CONSTANT)Force=mass×acceleration [M^1]×[L^1 T^-2]: Force=Gm1m2/r^2[M^1 L^1 T^-2]= [M^2]/[L^2][M^1 L^1 T^-2]= [M^2 L^-2 T^0]LHS≠RHSHence, Given equation is dimensionally incorrect. |
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