In an experiment the percentage of error occured 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 = \frac{A^2 B ^{1/2 }}{C^{1/2 }D^3}  will be : 

 

  • Option 1)

    (3/13) % 

  • Option 2)

    16 % 

  • Option 3)

    - 10 % 

  • Option 4)

    10 % 

Answers (1)

\frac{\delta x }{x } = 2 \frac{\Delta A }{A } + \frac{1}{2}\frac{\Delta B}{B}+ \frac{1}{3}\frac{\Delta C}{C} + \frac{3 \Delta D }{D } \\\\ = 16 \%


Option 1)

(3/13) % 

Option 2)

16 % 

Option 3)

- 10 % 

Option 4)

10 % 

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