Which of the following quantities has a unit but is dimensionless?

  • A
    Strain
  • B
    Reynold's number
  • C
    Angular displacement
  • D
    Poisson's ratio

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The pair having the same dimensions is

The density of water is $1000 \; kg \; m^{-3}$. The density of water vapour at $100^{\circ} C$ and $1 \; atm$ pressure is $0.6 \; kg \; m^{-3}$. The volume of a molecule multiplied by the total number gives what is called molecular volume. Estimate the volume of a water molecule.

Match List-$I$ with List-$II$.
List-$I$List-$II$
$(A)$ Mass density$(I)$ $[ML^2T^{-3}]$
$(B)$ Impulse$(II)$ $[MLT^{-1}]$
$(C)$ Power$(III)$ $[ML^2T^0]$
$(D)$ Moment of inertia$(IV)$ $[ML^{-3}T^0]$
Choose the correct answer from the options given below:

State,for each of the following physical quantities,if it is a scalar or a vector: volume,mass,speed,acceleration,density,number of moles,velocity,angular frequency,displacement,angular velocity.

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

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