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1.Units, Dimensions and Measurement
hard
અવરોધ $R=\frac{V}{I}$, જ્યાં $V=(200 \pm 5) V$ અને $I=(20 \pm 0.2) A$ હોય તો $R$ ના માપનમાં પ્રતિશત ત્રુટિ_____છે.
A
$3.5 \%$
B
$7 \%$
C
$3 \%$
D
$5.5 \%$
(JEE MAIN-2024)
Solution
$\mathrm{R}=\frac{\mathrm{V}}{1}$
According to error analysis
$ \frac{\mathrm{dR}}{\mathrm{R}}=\frac{\mathrm{dV}}{\mathrm{V}}+\frac{\mathrm{dI}}{\mathrm{I}} $
$ \frac{\mathrm{dR}}{\mathrm{R}}=\frac{5}{200}+\frac{0.2}{20} $
$ \frac{\mathrm{dR}}{\mathrm{R}}=\frac{7}{200} $
$ \% \text { error } \frac{\mathrm{dR}}{\mathrm{R}} \times 100=\frac{7}{200} \times 100=3.5 \%$
Standard 11
Physics
