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A physical quantity A is related to four...

A physical quantity A is related to four observables a, b, c and d as follows:
` A = ( a^(2) b^(3))/(csqrtd) `
The percentage errors of measurement in a, b, c and d are 1%, 3%, 2% and 2% respectively. What is the percentage error in the quantity A?

A

0.12

B

0.07

C

0.16

D

0.14

Text Solution

Verified by Experts

The correct Answer is:
D
% error in
` A = ( 2 (Delta a)/(a) + 3(Delta b)/(b) +(Delta c)/( c )+ (1)/(2) (Delta d)/(d)) xx 100 %`
` 2 xx 1 +3 xx 3 +2 +(1)/(2) xx 2 `
` = 2 + 9 +2+1`
` = 14%`
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