$A$ wooden cubical block of mass $m = 20 \text{ kg}$ is measured within an error of $10 \text{ g}$. Its side length $l = 100 \text{ cm}$ is measured within an error of $1 \text{ mm}$. Then,the relative error in the measurement of its density is

  • A
    $1.8 \times 10^{-2}$
  • B
    $2.6 \times 10^{-2}$
  • C
    $3.5 \times 10^{-3}$
  • D
    $4.8 \times 10^{-3}$

Explore More

Similar Questions

Two resistors of resistances $R_1 = (100 \pm 3) \,\Omega$ and $R_2 = (200 \pm 4) \,\Omega$ are connected in series. The maximum absolute error and percentage error in the equivalent resistance of the series combination are:

The temperature of a body measured by a thermometer with a least count of $0.2 ^\circ C$ is $37.8 ^\circ C$. The temperature with error is represented as ... and the percentage error of the observation is ...

If the length of a cylinder is $l = (4.00 \pm 0.01) \; cm$,radius $r = (0.250 \pm 0.001) \; cm$,and mass $m = 6.25 \pm 0.01 \; g$,calculate the percentage error in the determination of density.

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.

The dimensions of a cone are measured using a scale with a least count of $2 \text{ mm}$. The diameter of the base and the height are both measured to be $20.0 \text{ cm}$. The maximum percentage error in the determination of the volume is. . . . .

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial
For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free
For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo