Different processes are given in Column-$I$ and their reasons are given in Column-$II$. Match them appropriately.
Column-$I$ Column-$II$
$(a)$ Rain drops move downwards with constant velocity. $(i)$ Viscous liquids
$(b)$ Floating clouds at a height in air. $(ii)$ Viscosity
$(iii)$ Less density

  • A
    $(a-ii), (b-iii)$
  • B
    $(a-i), (b-ii)$
  • C
    $(a-i), (b-iii)$
  • D
    $(a-iii), (b-ii)$

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$STATEMENT-1$: The stream of water flowing at high speed from a garden hose pipe tends to spread like a fountain when held vertically up,but tends to narrow down when held vertically down.
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Which of the following is not the property of an ideal fluid?

$A$ container of liquid is released from rest on a smooth inclined plane as shown in the figure. The length of the inclined plane is sufficient. Assume the liquid finally reaches equilibrium relative to the container. The final liquid surface makes an angle with the horizontal of ...... $^o$.

$A$ spray gun is shown in the figure where a piston pushes air out of a nozzle. $A$ thin tube of uniform cross section is connected to the nozzle. The other end of the tube is in a small liquid container. As the piston pushes air through the nozzle,the liquid from the container rises into the nozzle and is sprayed out. For the spray gun shown,the radii of the piston and the nozzle are $20 \ mm$ and $1 \ mm$ respectively. The upper end of the container is open to the atmosphere.
$1.$ If the piston is pushed at a speed of $5 \ mm \ s^{-1}$,the air comes out of the nozzle with a speed of
$(A)$ $0.1 \ m \ s^{-1}$ $(B)$ $1 \ m \ s^{-1}$ $(C)$ $2 \ m \ s^{-1}$ $(D)$ $8 \ m \ s^{-1}$
$2.$ If the density of air is $\rho_{a}$ and that of the liquid is $\rho_{\ell}$,then for a given piston speed,the rate (volume per unit time) at which the liquid is sprayed will be proportional to
$(A)$ $\sqrt{\frac{\rho_{a}}{\rho_{\ell}}}$ $(B)$ $\sqrt{\rho_{a} \rho_{\ell}}$ $(C)$ $\sqrt{\frac{\rho_{\ell}}{\rho_{a}}}$ $(D)$ $\rho_{\ell}$

Liquid and gas both are fluids; distinguish between them and state which property is common between them.

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