$A$ student in the laboratory measures the thickness of a wire using a screw gauge. The readings are $1.22\,mm$,$1.23\,mm$,$1.19\,mm$,and $1.20\,mm$. The percentage error is $\frac{x}{121}\%$. The value of $x$ is ..............

  • A
    $100$
  • B
    $150$
  • C
    $98$
  • D
    $140$

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The density $\rho$ of a uniform cylinder is determined by measuring its mass $m$,length $l$ and diameter $d$. The measured values of $m, l$ and $d$ are $97.42 \pm 0.02 \text{ g}$,$8.35 \pm 0.05 \text{ mm}$ and $20.20 \pm 0.02 \text{ mm}$,respectively. The calculated percentage fractional error in $\rho$ is . . . . . . . (in $\%$)

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 $\%$)

$A$ simple pendulum is being used to determine the value of gravitational acceleration $g$ at a certain place. The length of the pendulum is $25.0 \; cm$ and a stopwatch with $1 \; s$ resolution measures the time taken for $40$ oscillations to be $50 \; s$. The accuracy in $g$ is ....... $\%$ (in $.40$)

$A$ force $F$ is applied on a square plate of side $L$. If the percentage error in determining $F$ is $3 \%$ and that in $L$ is $2 \%$,then the percentage error in determining the pressure is (in $\%$)

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