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A physical quantity `X` is represented by `X = (M^(x) L^(-y) T^(-z)`. The maximum percantage errors in the measurement of `M , L , and T`, respectively , are `a% , b% and c%`. The maximum percentage error in the measurement of `X` will beA. `(alpha a + beta b + gamma c) %`B. `(alpha a- beta b + gamma c)%`C. `(alpha a - beta b- gamma c)%`D. None of these |
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Answer» Correct Answer - A `X=M^(a)L^(b)T^(c)` `rArr(DeltaX)/(X)=a((DeltaM)/(M))+b((DeltaL)/(L))+c((DeltaT)/(T))=a alpha+b beta+c gamma` |
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