First slide

Accuracy; precision of instruments and errors in measurements

Question

The dimensional formula for a physical quantity x is $[M^{- 1} L^{3} T^{- 2}]$ .The errors in measuring the quantities M, L, and T, respectively, are 2%,3%, and 4%. The maximum percentage of error that occurs in measuring the quantity x is

Moderate

A

9
B

10
C

14
D

19

Solution

$\begin{array}{l} X = M^{- 1} L^{3} T^{- 2} \\ \begin{aligned} (\frac{Δ X}{X}) 100 & = (\frac{Δ M}{M} + 3 \frac{Δ L}{L} + 2 \frac{Δ T}{T}) 100 \\ = 2 + 3 \times 3 + 2 \times 4 = 19 % \end{aligned} \end{array}$

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