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  • A physical quantity P depends on the other two physical quantities Q and R, as follows  P = <img alt="a Q^2 R^{1/2}" src="https://learn.careers360.com/latex-image/?a%20Q%5E2%

A physical quantity P depends on the other two physical quantities Q and R, as follows 

P = a Q^2 R^{1/2}  Where a is constant. In an experiment, the quantity Q is determined by measuring P and R and using the above expression. If the percentage of error in measurement of P and R is 10 % and 12 % respectively, Then the percentage of error in determining the value of Q is 

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 Given P = a Q ^2 R^{ 1/2}

Q=\frac{P^\frac{1}{2}}{aR^\frac{1}{4}}

Q \Rightarrow \frac{\Delta Q}{Q} *100=\frac{10}{2}+\frac{12}{4}=8

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