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 $M_B>M_A$
$\Rightarrow \frac{\Delta M_A}{M_A}>\frac{\Delta M_B}{M_B}$