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

• 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 1

Answer: (A)

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

Answer 2

Percentage error in X

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