The density of a cube is measured by measurin | vedclass

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

Question

(D) The density $\rho$ of a cube is given by the formula $\rho = \frac{M}{V} = \frac{M}{L^3}$,where $M$ is the mass and $L$ is the length of the side

Vedclass · Accepted Answer

$9$

Vedclass · Answer

(D) The density $ho$ of a cube is given by the formula $ho = \frac{M}{V} = \frac{M}{L^3}$,where $M$ is the mass and $L$ is the length of the side of the cube.Using the formula for relative error,the maximum percentage error in density is given by:$\frac{\Delta ho}{ho} 	imes 100 = \frac{\Delta M}{M} 	imes 100 + 3 	imes \left( \frac{\Delta L}{L} 	imes 100 ight)$Given that the maximum error in mass $\frac{\Delta M}{M} 	imes 100 = 3\%$ and the maximum error in length $\frac{\Delta L}{L} 	imes 100 = 2\%$.Substituting these values into the equation:$	ext{Percentage error in } ho = 3\% + 3 	imes (2\%) = 3\% + 6\% = 9\%$.Therefore,the maximum error in the measurement of the density of the cube is $9\%$.

The density of a cube is measured by measuring its mass and the length of its sides. If the maximum error in the measurement of mass and length are $3\%$ and $2\%$ respectively,then find the maximum error in the measurement of the density of the cube.

Similar Questions

The temperatures of two bodies measured by a thermometer are $t_1 = 20^{\circ}C \pm 0.5^{\circ}C$ and $t_2 = 50^{\circ}C \pm 0.5^{\circ}C$. The temperature difference and the error therein are:

Two resistances are measured in $\Omega$ and are given as $R_1 = 3 \Omega \pm 1\%$ and $R_2 = 6 \Omega \pm 2\%$. When they are connected in parallel,the percentage error in equivalent resistance is .......... $\%$

If $x = a - b$,then the percentage error in $x$ will be

Accuracy of measurement is determined by

Measurement of two quantities along with the error is: $A = 2.5 \ ms^{-1} \pm 0.5 \ ms^{-1}$,$B = 0.10 \ s \pm 0.01 \ s$. The value of $AB$ will be:

Vedclass Test Series

Exam Paper Generator

Online Exam Module