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Q.

A physical quantity Q is related to measurable quantities L, M and N asQ=KL−4M−3 N, where k is constant. If the % errors in the measurements of L, M and N are respectively 2%, 3% and 5%, then the % error in the measurement of Q is

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a

9%

b

14%

c

22%

d

1%

answer is C.

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Detailed Solution

ΔQQ×100=4(ΔLL×100)+3(ΔMM×100) +ΔNN×100                   = 4×2+3×3+5=8+9+5=22%
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A physical quantity Q is related to measurable quantities L, M and N asQ=KL−4M−3 N, where k is constant. If the % errors in the measurements of L, M and N are respectively 2%, 3% and 5%, then the % error in the measurement of Q is