(A) The measured temperature is $T = 37.8 ^\circ C$.The least count of the thermometer is the absolute error,$\Delta T = 0.2 ^\circ C$.Thus,the temper

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$(37.8 \pm 0.2) ^\circ C, 0.5\%$

(A) The measured temperature is $T = 37.8 ^\circ C$.The least count of the thermometer is the absolute error,$\Delta T = 0.2 ^\circ C$.Thus,the temperature with error is expressed as $(T \pm \Delta T) = (37.8 \pm 0.2) ^\circ C$.The percentage error is calculated as:$\text{Percentage Error} = \left( \frac{\Delta T}{T} \times 100 \right) \%$$= \left( \frac{0.2}{37.8} \times 100 \right) \%$$= \left( \frac{20}{37.8} \right) \% \approx 0.529 \% \approx 0.5 \%$.

Class 11 Physics Units, Dimensions and Measurement Errors of Measurement

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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 ...

A
$(37.8 \pm 0.2) ^\circ C, 0.5\%$
B
$(37.8 \pm 0.2) ^\circ C, 0.2\%$
C
$(39.8 \pm 0.2) ^\circ C, 0.5\%$
D
$(38.0 \pm 0.2) ^\circ C, 0.5\%$

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What is called as relative error? Define fractional error.

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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 ...

Similar Questions

What is called as relative error? Define fractional error.

The radius $(r)$,length $(l)$,and resistance $(R)$ of a metal wire were measured in the laboratory as:$r = (0.35 \pm 0.05) \text{ cm}$$R = (100 \pm 10) \text{ } \Omega$$l = (15 \pm 0.2) \text{ cm}$The percentage error in the resistivity of the material of the wire is: (in $\%$)

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$A$ physical quantity $A$ is related to four observables $a, b, c,$ and $d$ as follows: $A = \frac{a^2 b^3}{c \sqrt{d}}$. The percentage errors of measurement in $a, b, c,$ and $d$ are $1\%, 3\%, 2\%,$ and $2\%$ respectively. What is the percentage error in the quantity $A$?

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The radius $(r)$,length $(l)$,and resistance $(R)$ of a metal wire were measured in the laboratory as:
$r = (0.35 \pm 0.05) \text{ cm}$
$R = (100 \pm 10) \text{ } \Omega$
$l = (15 \pm 0.2) \text{ cm}$
The percentage error in the resistivity of the material of the wire is: (in $\%$)