The graph between two quantities $P$ and $Q$ is a straight line passing through the origin when:

  • A
    $P Q = \text{constant}$
  • B
    $\frac{P}{Q} = \text{constant}$
  • C
    $P Q^2 = \text{constant}$
  • D
    $\frac{P}{Q^2} = \text{constant}$

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The ratio $\left(\frac{E}{W}\right)$ of relative strength of electromagnetic force $(E)$ to weak nuclear force $(W)$ is,

Match List-$I$ with List-$II$.
List-$I$ List-$II$
$(A)$ Torque $(I)$ $Nms^{-1}$
$(B)$ Stress $(II)$ $Jkg^{-1}$
$(C)$ Latent Heat $(III)$ $Nm$
$(D)$ Power $(IV)$ $Nm^{-2}$

Choose the correct answer from the options below.

In the context of accuracy of measurement and significant figures in expressing results of experiment,which of the following is/are correct?
$(1)$ Out of the two measurements $50.14 \, cm$ and $0.00025 \, A$,the first one has greater accuracy.
$(2)$ If one travels $478 \, km$ by rail and $397 \, m$ by road,the total distance travelled is $478 \, km$.

Match the following (Take the relative strength of the strongest fundamental forces in nature as $1$):
$I$ (Fundamental forces in nature)$II$ (Relative strength)
$(A)$ Strong nuclear force$(e)$ $10^{-2}$
$(B)$ Weak nuclear force$(f)$ $1$
$(C)$ Electromagnetic force$(g)$ $10^{10}$
$(D)$ Gravitational force$(h)$ $10^{-13}$
$(i)$ $10^{-39}$

The correct match is:

The related effort to derive the properties of a bigger, more complex system from the properties and interactions of its constituent simpler parts is:

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