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Q.

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
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