Question

The percentage errors in the measurement of mass and speed are $2\%$ and $3\%$, respectively. How much will be the maximum error in the estimation of KE obtained by measuring mass and speed?

• A. $5\%$
• B. $1\%$
• C. $8\%$
• D. $11\%$

Answer 1

The correct option is C $8\%$

We know $K=\frac{1}{2}{mV}^2$

$\frac{\Delta K}{K}=\frac{\Delta M}{M}+\frac{2\Delta V}{V}$

$\frac{\Delta K}{K}=2$%$+2\times 3$%$=(2+6)$%$=8$%