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A quantity is represented by $M^{a} L^{b} T^{c} .$ The percentage error in measurement of M, L, and T are $α %, β % a n d γ %$ respectively. The percentage error in X would be

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(αa+ βb+ γc)%

(αa− βb+ γc)%

(αa− βb− γc)×100%

None of these

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detailed solution

Correct option is A

Let X=MaLbTcΔXX×100=(aΔMM+bΔLL+cΔTT)×100(αa+βb+γc)%

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A quantity is represented by MaLbTc. The percentage error in measurement of M, L, and T are α%, β% and γ% respectively. The percentage error in X would be

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A quantity is represented by $M^{a} L^{b} T^{c} .$ The percentage error in measurement of M, L, and T are $α %, β % a n d γ %$ respectively. The percentage error in X would be