(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 and Measurements Errors of Measurement

Medium

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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Units and Measurements

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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 ...

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$A$ physical quantity $x$ is related as $x = \frac{\sqrt{a}b^3}{c^4d^2}$. Relative errors in the quantities $a, b, c$ and $d$ are $2\%, 1\%, 3\%$ and $4\%$ respectively. The relative error in $x$ will be (in $\%$):

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