A physical quantity is given by \( X=M^{a} L^{b} T^{c} \). The percentage error in measurement o...

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Counter-Strike: Source
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Counter-Strike: Source (2004)
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A physical quantity is given by \( X=M^{a} L^{b} T^{c} \). The percentage error in measurement of \( M, L \) and \( T \) are \( \alpha, \beta \) and \( \gamma \) respectively. Then maximum percentage error in the quantity \( X \) is
[Odisha JEE 2005]
(a) \( a \alpha+b \beta+c \gamma \)
(b) \( a \alpha+b \beta-c \gamma \)
(c) \( \frac{a}{\alpha}+\frac{b}{\beta}+\frac{c}{\gamma} \)
(d) None of these
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