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Home » A physical quantity X is related to four measurable quantities a, b, c and d as follows: . The percentage error in the measurement of a, b, c and d are 1%, 2%, 3% and 4%, respectively. What is the percentage error in quantity X? If the value of X calculated on the basis of the above relation is 2.763, to what value should you round off the result.
A physical quantity X is related to four measurable quantities a, b, c and d as follows: X=a^{2}b^{3}c^{5/2}d^{-2}. The percentage error in the measurement of a, b, c and d are 1%, 2%, 3% and 4%, respectively. What is the percentage error in quantity X? If the value of X calculated on the basis of the above relation is 2.763, to what value should you round off the result.
CBSE | Class 11 | NCERT Exemplar | Physics | Units and Measurements
A physical quantity X is related to four measurable quantities a, b, c and d as follows: X=a^{2}b^{3}c^{5/2}d^{-2}. The percentage error in the measurement of a, b, c and d are 1%, 2%, 3% and 4%, respectively. What is the percentage error in quantity X? If the value of X calculated on the basis of the above relation is 2.763, to what value should you round off the result.

The given physical quantity is X=a^{2}b^{3}c^{5/2}d^{-2}

Percentage error in X is given as (∆x/x)(100)

Percentage error in a is given as (∆a/a)(100) = 1%

Percentage error in b is given as (∆b/b)(100) = 2%

Percentage error in c is given as (∆c/c)(100) = 3%

Percentage error in d is given as (∆d/d)(100) = 4%

Maximum percentage error in X = ±23.5%

X should have two significant values, therefore, X = 2.8

i

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