Answer :

Given:

The equation of X = a^{2} B^{3} c^{5/2} 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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