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 [Orissa JEE 2005]

Question

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                                         [Orissa JEE 2005]

TuteeHUB · Accepted Answer

$$a\alpha +b\beta -c\gamma $$

TuteeHUB · Answer

$$a\alpha +b\beta +c\gamma $$

TuteeHUB · Answer

$$\frac{a}{\alpha }+\frac{b}{\beta }+\frac{c}{\gamma }$$

TuteeHUB · Answer

None of these

1.	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 [Orissa 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
Answer» B. \[a\alpha +b\beta -c\gamma \]

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 [Orissa JEE 2005]

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