InterviewSolution
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InterviewSolution
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If in a hypothetical system if the angular momentum and mass are dimensionless. Then which of the following is true.A. The linear momentum varies as `L^(-1)`B. The energy varies as `L^(-2)`C. The power varies as `L^(-4)`D. The force varies as `L^(-5)` |
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Answer» Correct Answer - A::B::C [M]=[Mass]=`[M^(0)L^(0)T^(0)]` [J] =[Angular momentum] =`[ML^(2)T^(-1)]` Now, `[ML^(2)T^(-1)]=[M^(0)L^(0)T^(0)]` `:.[L^(2)]=[T]` Power [P]=`[MLT^(-2).LT^(-1)]` =`[ML^(2)T^(-3)]` `=[L^(2)L^(-6)]` `[P]=[L^(-4)]` `Energy/Work [W]=`[MLT^(-2).L]` Force [F] `=[MLT^(-2)]=[L.L^(-4)]=[L^(-3)]` Linear momentum [p]=`[MLT^(-1)]=[L.L^(-2)]` `[p]=[L^(-1)]` |
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