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Q.

A physical quantity x is calculated from x=ab2/c.Calculate the maximum percentage error in measuring x when the percentage errors in measuring a, b, and c are 4, 2, and 3%, respectively.

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a

7%

b

9%

c

11%

d

9.5%

answer is D.

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Detailed Solution

Here Δxx×100=Δaa×100+2Δbb×100+12Δcc×100=[4+2×2+1/2×3]%=9.5%

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A physical quantity x is calculated from x=ab2/c.Calculate the maximum percentage error in measuring x when the percentage errors in measuring a, b, and c are 4, 2, and 3%, respectively.