A physical quantity X is represented by X=MxL−yT−z. The maximum percentage errors in the measurement of M, L, and T, respectively, are a%, b% and c%. The maximum percentage error in the measurement of X will be
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a
(ax+by−cz)%
b
(ax−by−cz)%
c
(ax+by+cz)%
d
(ax−by+cz)%
answer is C.
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Detailed Solution
X=MxL−yT−z∴ΔXX×100=xΔMM×100+yΔLL×100+zΔTT×100, (errors are always added)∴ ΔXX×100=(ax+by+cz) percent
A physical quantity X is represented by X=MxL−yT−z. The maximum percentage errors in the measurement of M, L, and T, respectively, are a%, b% and c%. The maximum percentage error in the measurement of X will be