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If the unit of force ware kilonewton, that of time millisecond and that of power kilowatt, what would be the units of mass and length? |
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Answer» Correct Answer - `1kg ; 10^(-3)` Here,`F = M^1 L^1 T^(-2) =1kN = 1000N …..(i)` `T = T^1 = 1 ms = 10^(-3)s …(ii)` `P = ML^2 T^(-3) =1 kW = 1000W …….(iii)` `(F)/(T) = M^1 L^1 T^(-3) = (1000)/(10^(-3)) = 10^6 Ns^(-1) ….(iv)` Divide (iii) by (iv) `(ML^2T^(-3))/(MLT^(-3)) = (1000)/(10^6) = 10^(-3) or L = 10^(-3)m` Put values of L & T in (i) `M(10^(-3))(10^(-3))^(-2) = 10^3` :. M =1kg |
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