Q. The measured mass and volume of a body are 23.42 g and 4.9 $cm^{3}$ respectively with possible error 0.01 g and 0.1 $cm^{3}$. The maximum error in density is nearly
A) 0.2%
B) 2%
C) 5%
D) 10%
Explanation
Percentage error in mass $= \frac{0.01}{23.42} \times 100 = 0.04$ Percentage error in volume $= \frac{0.1}{4.9} \times 100 = 2.04$ Adding up the percentage errors, we get nearly 2%.
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.