The mass of the body is 10.000,g and its volu | vedclass

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

Question

$\frac{\Delta \rho}{\rho}= \frac{\Delta \mathrm{M}}{\mathrm{M}}+\frac{\Delta \mathrm{V}}{\mathrm{V}}=\left[\frac{0.001}{10.000}+\frac{0.01}{10.00}\rig

Vedclass · Accepted Answer

$0.0011\,g\,cm^{-3}$

Vedclass · Answer

$\frac{\Delta ho}{ho}= \frac{\Delta \mathrm{M}}{\mathrm{M}}+\frac{\Delta \mathrm{V}}{\mathrm{V}}=\left[\frac{0.001}{10.000}+\frac{0.01}{10.00}ight]=10^{-4}+10^{-3}$

$\quad=0.1 	imes 10^{-3}+10^{-3} =1.1 	imes 10^{-3}$

$\Delta ho=1.1 	imes 10^{-3} 	imes \frac{10.000}{10.00}$

$=1.1 	imes 10^{-3}$

$=0.0011\,g\,cm^{-3}$

The mass of the body is $10.000\,g$ and its volume is $10.00\,cm^3$. If the measured values are expressed upto the correct significant figures, the maximum error in the measurement of density is

Similar Questions

Find the relative error in $Z,$ if $Z=\frac{A^{4} B^{1 / 3}}{ C D^{3 / 2}}$

A public park, in the form of a square, has an area of $(100 \pm 0.2) m ^2$. The side of park is ......... $m$

The temperature of a metal coin is increased by $100^{\circ} C$ and its diameter increases by $0.15 \%$. Its area increases by nearly

A sliver wire has mass $(0.6 \pm 0.006) \; g$, radius $(0.5 \pm 0.005) \; mm$ and length $(4 \pm 0.04) \; cm$. The maximum percentage error in the measurement of its density will be $......\,\%$

Two resistances are given as $R _1=(10 \pm 0.5)\,\Omega$ and $R_2=(15 \pm 0.5)\, \Omega$. The percentage error in the measurement of equivalent resistance when they are connected in parallel is