1
JEE Advanced 2014 Paper 2 Offline
+3
-1

A spray gun is shown in the below 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.

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
$0.1 \mathrm{~ms}^{-1}$
B
$1 \mathrm{~ms}^{-1}$
C
$2 \mathrm{~ms}^{-1}$
D
$8 \mathrm{~ms}^{-1}$
2
JEE Advanced 2014 Paper 2 Offline
+3
-1

A spray gun is shown in the below 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.

If the density of air is $$\rho$$a and that of the liquid $$\rho$$l, 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
$\rho_{\ell}$
3
JEE Advanced 2013 Paper 1 Offline
+2
-0.5
One end of a horizontal thick copper wire of length 2L and radius 2R is welded to an end of another horizontal thin copper wire of length L and radius R. When the arrangement is stretched by applying forces at two ends, the ratio of the elongation in the thin wire to that in the thick wire is
A
0.25
B
0.50
C
2.00
D
4.00
4
IIT-JEE 2012 Paper 2 Offline
+3
-0.75
A thin uniform cylindrical shell, closed at both ends, is partially filled with water. It is floating vertically in water in half-submerged state. If $${\rho _c}$$ is the relative density of the material of the shell with respect to water, then the correct statement is that the shell is
A
more than half-filled if $${\rho _c}$$ is less than 0.5.
B
more than half-filled if $${\rho _c}$$ is more than 1.0.
C
half-filled if $${\rho _c}$$ is more than 0.5.
D
less than half-filled if $${\rho _c}$$ is less than 0.5.
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