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Suppose `A=B^(n)C^(m)` , where A has dimensions LT, B has dimensions `L^(2)T^(-1)`, and C has dimensions `LT^(2)` , Then the exponents n and m have the values: (A) `2//3,1//3 " "` (B) `2,3 " "` (C)`4//5,-1//5 " "` (D) `1//5,3//5` `(E)`1//2,1//2` |
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Answer» `LT=[L^(2)T^(-1)]^(n)[LT^(2)]^(m)` `LT=L^(2n+m)T^(2m-n)` `{:(2n+m=1 " " ...(i)),(-n+2m=1 " "...(ii)):}` ` "On sovling" n=(1)/(5), m=(3)/(5)` |
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