Q. In an experiment, the percentage of error occurred in the measurment 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 $X = \frac{A^2B^{1/2}}{C^{1/3}D^3}$, will be :

A) $\left(\frac{3}{13}\right)$%
B) 16%
C) -10%
D) 10%
Explanation

[Solution] Max error = 2(1) + ½(2) + ⅓(3) + 3(4) = 2 + 1 + 1 + 12 = 16%. Answer (2).

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.

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