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

In the measurement of a physical quantity X = A^(2)B/C^(1//3)D^(3) The

1.	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
Answer» Solution :`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.