The mass and volume of a body are 4.237 g an | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) Density $\rho$ is given by the formula $\rho = \frac{m}{V}$.Given mass $m = 4.237 \ g$ (which has $4$ significant figures).Given volume $V = 2.5 \

Vedclass · Accepted Answer

$1.7$

Vedclass · Answer

(B) Density $\rho$ is given by the formula $\rho = \frac{m}{V}$.Given mass $m = 4.237 \ g$ (which has $4$ significant figures).Given volume $V = 2.5 \ cm^3$ (which has $2$ significant figures).Calculating the density: $\rho = \frac{4.237}{2.5} = 1.6948 \ g \ cm^{-3}$.According to the rules of significant figures,the result of division should have the same number of significant figures as the measurement with the fewest significant figures.Since $2.5$ has $2$ significant figures,the final answer must be rounded to $2$ significant figures.Rounding $1.6948$ to $2$ significant figures gives $1.7 \ g \ cm^{-3}$.

The mass and volume of a body are $4.237 \ g$ and $2.5 \ cm^3$,respectively. The density of the material of the body in correct significant figures is $:-$ (in $g \ cm^{-3}$)

Similar Questions

The number of significant figures in $0.03240$ is

If $L = 2.331 \ cm$ and $B = 2.1 \ cm$,then $L + B =$ (in $cm$)

The addition of three masses $1.6 \,g$,$7.32 \,g$,and $4.238 \,g$,expressed to the proper number of decimal places,is ....... $g$.

Which of the following measurements of length is the most precise? Why?
$(i) \ 2.0 \ cm$
$(ii) \ 2.00 \ cm$
$(iii) \ 2.000 \ cm$

What points should be considered during the addition and subtraction of numbers with significant figures?

Vedclass Test Series

Exam Paper Generator

Online Exam Module