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In an experiment four quantities a, b, c and d are measured with percentage error 1%, 2%, 3% and 4% respectively. Quantity P is calculated as follows: \text{P}=\frac{a^{3}b^{2}}{cd} 

% error in P is:

  • Option 1)

    4%

  • Option 2)

    14%

  • Option 3)

    10%

  • Option 4)

    7%

 

Answers (1)

\text{P}=\frac{a^{3}b^{2}}{cd}

100\times \frac{\Delta P}{P} = [3(\frac{\Delta a }{a})+2(\frac{\Delta b }{b})+1(\frac{\Delta C }{C})]\times 100

% In P = [ 3\times1 + 2(2) + 1(3) + 1(4)]

% error In P = 14%


Option 1)

4%

this is the incorrect option

Option 2)

14%

this is the correct option

Option 3)

10%

this is the incorrect option

Option 4)

7%

this is the incorrect option

Posted by

Sabhrant Ambastha

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