question_answer

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