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Q.

A physical quantity Q is calculated according to the expression Q=A3B3CD If percentage errors in A, B, C, D are 2%, 1 %, 3% and 4%, respectively. What is the percentage error in Q?

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a

± 8%

b

± 10%

c

± 14%

d

± 12%

answer is C.

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Detailed Solution

Given, Q=A3B3CDΔQQ=3ΔAA+3ΔBB+ΔCC+12ΔDDHere, ΔAA×100=2%,ΔBB×100=1%ΔCC×100=3%,ΔDD×100=4%∴  ΔQQ×100=(3×2%)+(3×1%)+(3%)+12×(4%)=±14%
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