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Q.

A physical quantity z depends on four observables a,b,c and  d, as  z=a2b23cd3. The percentages of error in the measurement of a,b,c and d are 2%, 1.5%,4% and 2.5%  respectively. The percentage of error in  z is:

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a

14.5%

b

16.5%

c

13.5%

d

12.25%

answer is A.

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Detailed Solution

%error in Z =2%error in a+23%error in b+12%error in c+3%error in d=2×2+231.5+12×4+32.5=14.5%
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