In an experiment, t...
 
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In an experiment, the percentage of error occurred in the measurement of physical quantities A, B, C and D are 1%, 2%, 3% and 4% respectively.  

  

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In an experiment, the percentage of error occurred 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 = A²B½/CD³, will be

(1) (3/13)%

(2) 16%

(3) -10%

(4) 10%

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Correct option: (2)

Explanation:

Given

2s.png

= 2 x 1% + 1/2 x 2%+ 1/3 x 3% + 3 x 4%

= 2% 1% 1% 12%

= 16%

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