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A physical quantity is represented by $X = M^{a} L^{b} T^{c}$ . If percentage errors in the measurement of M, L and T are $α, β and γ$ respectively, then total percentage error is

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αa+βb−γc

αa+βb+γc

αa−βb+γc

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detailed solution

Correct option is B

Δxx×100 = aΔMM×100+bΔLL×100+cΔTT×100 = aα+bβ+cγ

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A physical quantity is represented by X = MaLbTc. If percentage errors in the measurement of M, L and T are α, β and γ respectively, then total percentage error is

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A physical quantity is represented by $X = M^{a} L^{b} T^{c}$ . If percentage errors in the measurement of M, L and T are $α, β and γ$ respectively, then total percentage error is