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In the measurement of a physical quantit...

In the measurement of a physical quantity `X = A^(2)B/C^(1//3)D^(3)` The percentage errors introduced in the measurement of the quantities A, B, C and D are 2%, 2%, 4% and 5% respectively. Then, the minimum amount of percentage error in the measurement of X is contributed by

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`X=(A^(2)B)/(C^(1//3)C^(3)), (DeltaA)/Z%=2%(DeltaB)/B%=2%(DeltaC)/c%=4%,(DeltaD)/D%=5%`
`(DeltaX)/X=2(DeltaA)/A+(DeltaB)/B+1/3 (DeltaC)/C+1/3(DeltaD)/D`
Percentage error in `X=(DeltaX)/X xx100=2(DeltaA)/A xx100+(DeltaB)/Bxx100+1/3(DeltaC)/C+3xx(DeltaD)/D``:.` The minimum amount of error os conttributed in C.
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