The length and breadth of a metal sheet are $3.124\,m$ and $3.002\,m$. The area of the sheet is: (in $,m^2$)

  • A
    $9.376$
  • B
    $9.379$
  • C
    $9.388$
  • D
    $9.378$

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The number of significant figures in $0.03240$ is

$A$ student measuring the diameter of a pencil of circular cross-section with the help of a vernier scale records the following four readings: $5.50\, mm, 5.55\, mm, 5.45\, mm, 5.65\, mm$. The average of these four readings is $5.5375\, mm$ and the standard deviation of the data is $0.07395\, mm$. The average diameter of the pencil should therefore be recorded as:

$A$ cube has a side of length $1.2 \times 10^{-2} \; m$. Calculate its volume.

Match the numbers in Column-$I$ with the number of significant figures in Column-$II$.
Column-$I$ Column-$II$
$(1)$ $2.85 \times 10^{26} \ kg$ $(a)$ $1$
$(2)$ $0.009 \ m^2$ $(b)$ $2$
$(3)$ $0.060 \ s$ $(c)$ $3$

Time periods of oscillation of the same simple pendulum measured using four different measuring clocks were recorded as $4.62 \,s, 4.632 \,s, 4.6 \,s$ and $4.64 \,s$. The arithmetic mean of these readings in correct significant figures is: (in $\,s$)

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