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Questions  

A physical quantity X is represented by X=MxLyTz. 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

a
(ax+by−cz)%
b
(ax−by−cz)%
c
(ax+by+cz)%
d
(ax−by+cz)%

detailed solution

Correct option is C

X=MxL−yT−z∴ΔXX×100=xΔMM×100+yΔLL×100+zΔTT×100,                    (errors are always added)∴ ΔXX×100=(ax+by+cz) percent

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