In an experiment, the percentage of error occurred in the in the measurement of physical quantities A, B, C and D are 1%, 2%, 3% and 4% respectively. Then the maximum percentage of error in the measurement X, where X = 
, will be
A
10 %
B
C
16%
D
– 10%
Text Solution
Verified by ExpertsThe correct answer is:
C
x = 
λ nx = 2 λ n A + 
λ nB – 
λ nC – 3 λ nD
Differenting
= 2 
+ 
+ 
+ 
error x max = 2 × 1 + 
+ 
× 3 + 3 × 4
= + 16%
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