If x = a - b,then the percentage error in x w | vedclass

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

Question

(C) Given the relation $x = a - b$.The absolute error in $x$,denoted by $\Delta x$,is given by the sum of the absolute errors in $a$ and $b$ because e

Vedclass · Accepted Answer

$\left( \frac{\Delta a}{a-b} + \frac{\Delta b}{a-b} ight) 	imes 100\%$

Vedclass · Answer

(C) Given the relation $x = a - b$.The absolute error in $x$,denoted by $\Delta x$,is given by the sum of the absolute errors in $a$ and $b$ because errors always add up in subtraction as well.Therefore,$\Delta x = \Delta a + \Delta b$.The percentage error is defined as $\frac{\Delta x}{x} 	imes 100\%$.Substituting the values of $\Delta x$ and $x$,we get:Percentage error $= \left( \frac{\Delta a + \Delta b}{a - b} ight) 	imes 100\% = \left( \frac{\Delta a}{a - b} + \frac{\Delta b}{a - b} ight) 	imes 100\%$.

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

Similar Questions

The resistance $R = \frac{V}{I}$ where $V = (100 \pm 5) \text{ V}$ and $I = (10 \pm 0.2) \text{ A}$. The percentage error in $R$ is: (in $\%$)

Explain Absolute Error,Relative Error,and Percentage Error.

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 $4\%$ and $3\%$ respectively,the maximum error in the measurement of density will be ........ $\%$

$A$ torque meter is calibrated to reference standards of mass,length,and time,each with $5 \%$ accuracy. After calibration,the measured torque with this torque meter will have a net accuracy of $............\%$.

$A$ force $F$ is applied on a square plate of length $L$. If the percentage error in the determination of $L$ is $3 \%$ and in $F$ is $4 \%$, then the permissible error in the calculation of pressure is (in $\%$)

Vedclass Test Series

Exam Paper Generator

Online Exam Module