First slide

Accuracy; precision of instruments and errors in measurements

Question

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

Moderate

A

7%
B

5%
C

1%
D

9%

Solution

We know density,
$ρ = \frac{M}{V} = \frac{[M]}{[L^{3}]}$
$∴ \frac{Δ ρ}{ρ} \times 100 = \frac{Δ M}{M} \times 100 + 3 \frac{Δ L}{L} \times 100$
= 3%+ 3(2%) = 9%

Get Instant Solutions

When in doubt download our app. Now available Google Play Store- Doubts App

Recieve an sms with download link

Doubts App

OR

SCAN ME

Doubts App

Doubts App