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  • Help me solve this A physical quantity P is described by the relationP= a1/2 b2 c3 d-4If the relative errors in the measurement of a, b, c and d respectively, are 2%, 1%, 3% and 5%,then the relative error in P will be :

A physical quantity P is described by the relation

P= a1/2 b2 c3 d-4

If the relative errors in the measurement of a, b, c and d respectively, are 2%, 1%, 3% and 5%,

then the relative error in P will be :

  • Option 1)

    8%

  • Option 2)

    12%

  • Option 3)

    32%

  • Option 4)

    25%

 

Answers (1)

best_answer

P = a1/2b2C3d-4\times100(\frac{\Delta p}{p}) = \left ( \frac{1}{2} \frac{\Delta }{a} + 2\frac{\Delta b}{b}+3\frac{\Delta C}{C}+4\frac{\Delta d}{d} \right )\times 100 \% \:Error\ in\ p

= (\frac{1}{2}\times 2)+(2\times 1)+3(3)+5(5)=32\%


Option 1)

8%

this is incorrect option

Option 2)

12%

this is incorrect option

Option 3)

32%

this is correct option

Option 4)

25%

this is incorrect option

Posted by

prateek

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