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Q.

A experiment measures quantities a, b, c and ‘x’ as x=ab2c3, if the percentage error in a, b, c are 1%, 3%, 2% respectively, the percentage error in x is  

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a

±13%

b

±7%

c

±4%

d

±1%

answer is A.

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Detailed Solution

x=ab2c3=ab2c−3

For maximum error

Δxx×100=Δaa+2Δbb+3Δcc

=1+2(3)+3(2)%=1+6+6=±13%

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