Physical World Units and Measurements - Result Question 49

«««< HEAD:content/english/neet-pyq-chapterwise/physics/physical-world-units-and-measurements/physical-world-units-and-measurements-result-question-49.md

50. A certain body weighs $22.42 gm$ and has a measured volume of $4.7 cc$. The possible error in the measurement of mass and volume are $0.01 gm$ and $0.1 cc$. Then maximum error in the density will be

======= ####50. A certain body weighs $22.42 gm$ and has a measured volume of $4.7 cc$. The possible error in the measurement of mass and volume are $0.01 gm$ and $0.1 cc$. Then maximum error in the density will be

3e0f7ab6f6a50373c3f2dbda6ca2533482a77bed:content/english/neet-pyq-chapterwise/physics/physical-world-units-and-measurements/physical-world-units-and-measurements—result-question-49.md (a) $22 %$

(b) $2 %$

(c) $0.2 %$

(d) $0.02 %$

[1991]

Show Answer

Answer:

Correct Answer: 50. (b)

Solution:

  1. (b) Density, $D=\frac{Mass(M)}{Volume(V)}$

$\therefore \frac{\Delta D}{D}=\frac{\Delta M}{M}+\frac{\Delta V}{V}=(\frac{0.01}{22.42}+\frac{0.1}{4.7}) \times 100=2 %$