A physical quantity X is related to four measurable quantities a, b, c and d as follows X = a² b³ 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 X?
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# Answer- 23.5 %
# Explaination-
# Given-
Δa/a=1%
Δb/b=2%
Δc/c=3%
Δd/d=4%
# Solution-
Percentage error in X is given by,
ΔX/X = 2Δa/a + 3Δb/b + 2.5Δc/c + 2Δd/d
ΔX/X = 2×1 + 3×2 + 2.5×3 + 2×4
ΔX/X = 23.5 %
Hence, percentage error in X is 23.5 %.
Hope this helps you...
# Answer- 23.5 %
# Explaination-
# Given-
Δa/a=1%
Δb/b=2%
Δc/c=3%
Δd/d=4%
# Solution-
Percentage error in X is given by,
ΔX/X = 2Δa/a + 3Δb/b + 2.5Δc/c + 2Δd/d
ΔX/X = 2×1 + 3×2 + 2.5×3 + 2×4
ΔX/X = 23.5 %
Hence, percentage error in X is 23.5 %.
Hope this helps you...
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