Identify the incorrect statement among the following.

  • A
    $A$ true length of $5.678 \ km$ has been measured in two experiments as $5.5 \ km$ and $5.51 \ km$, respectively. The second measurement has more precision.
  • B
    Length of $1 \ m$ and $0.5 \ m$ have been both measured with the same absolute error of $0.01 \ m$. Both the measurements are equally accurate.
  • C
    The numbers of significant digits in $1.6$ and $0.60$ are two and two respectively.
  • D
    The number $2.445$ can be rounded to two decimal places as $2.45$.

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Although the units of torque and work are the same,why are they not the same physical quantities?

The dimensions of angular momentum,latent heat,and capacitance are,respectively:

$A$ scalar quantity is one that

Match List-$I$ with List-$II$.
List-$I$List-$II$
$(a)$ Capacitance,$C$$(i)$ $M^{1} L^{1} T^{-3} A^{-1}$
$(b)$ Permittivity of free space,$\varepsilon_{0}$$(ii)$ $M^{-1} L^{-3} T^{4} A^{2}$
$(c)$ Permeability of free space,$\mu_{0}$$(iii)$ $M^{-1} L^{-2} T^{4} A^{2}$
$(d)$ Electric field,$E$$(iv)$ $M^{1} L^{1} T^{-2} A^{-2}$

Choose the correct answer from the options given below:

Let $L, R, C$ and $V$ represent inductance,resistance,capacitance,and voltage,respectively. The dimension of $\frac{L}{RCV}$ in $SI$ units will be:

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