Answer :

Given:


The equation of X = a2 B3 c5/2 d-2


Percentage error in measurement of a = 1%


Percentage error in measurement of b = 2%


Percentage error in measurement of c = 3%


Percentage error in measurement of d = 4%


Calculated value of X = 2.763


The percentage error in X is given as , where ∆X is the error in X.


Similarly,


The percentage error in a =


The percentage error in b =


The percentage error in c =


The percentage error in d =


Therefore, from the given equation of X , the maximum percentage error in X can be calculated as follows





Therefore, the percentage error in measurement of X is 23.5%.


The absolute error in X is then = ±0.235 = ±0.24 after rounding off to two significant digits. Then, the value of X should be rounded off to two significant digits i.e. to 2.8.


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