Q. The mass and volume of a body are found to be $5.00\ \pm 0.05\ kg\ and\ 1.00\ \pm 0.05\ m^{3}$ respectively. Then the maximum possible percentage error in its density is
A) 6%
B) 3%
C) 10%
D) 5%
Explanation
$\ \ \ \ \ \ \ \ \ \ \ \ \frac{\mathrm{\Delta}p}{p} = \frac{\mathrm{\Delta}m}{m} + \frac{\mathrm{\Delta}V}{V}$ $\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ = \frac{0.05}{5} \times 100 + \frac{0.05}{1} \times 100$ $\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ = 6$ $\ \ \ \ \ \ \ \ \ \ \ \frac{\mathrm{\Delta}p}{p} = 6\%$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.