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JEE PHYSICS MCQ: UNITS & MEASUREMENTS

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A physical quantity is represented by X=MαLbT−c.X = {\mathrm{M}^\alpha }{\mathrm{L}^b}{\mathrm{T}^{ - c}}.. If percentage errors in the measurements of M,L and T are α%,β%\alpha \% ,\beta \% and γ%\gamma \% respectively, then total, percentage error is
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Correct option: B
(αa+βb+γc)%\left( {\alpha a + \beta b + \gamma c} \right)\%
Option B ((αa+βb+γc)%\left( {\alpha a + \beta b + \gamma c} \right)\%) is correct because the percentage error is the sum of the absolute values of the errors multiplied by their respective powers.

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