Physical World Units And Measurements Ques 46
46. 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
[1991]
(a) $22 \%$
(b) $2 \%$
(c) $0.2 \%$
(d) $0.02 \%$
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Answer:
Correct Answer: 46.(b)
Solution:
- (b) Density, $D=\frac{Mass(M)}{Volume(V)}$
$\therefore \frac{\Delta D}{D}=\frac{\Delta M}{M}+\frac{\Delta V}{V}=(\frac{0.01}{22.42}+\frac{0.1}{4.7}) \times 100=2 \%$
BETA
