Question

Two masses $M _{ A }$ and $M _{ B }\left( M _{ A }< M _{ B }\right)$ are weighed using same weighing machine. Absolute error and relative error in two measurement are (Assume only systematic errors are involved)

• A. absolute error same for both, relative error greater for $M_A$ and lesser for $M_B$.
• B. absolute error same for both, relative error greater for $M _{ B }$ and lesser for $M _{ A }$.
• C. relative error same for both, absolute error greater for $M_A$ and lesser for $M_B$.
• D. relative error same for both, absolute error greater for. $M _{ B }$ and lesser for $M _{ A }$

Answer 1

Answer: (A)

Fractional error $=\frac{\Delta M}{M}$ as $\Delta M_A=\Delta M_B$
as $M _{ B }> M _{ A } $
$\Rightarrow \frac{\Delta M_A}{M_A}>\frac{\Delta M_B}{M_B}$