1
JEE Main 2020 (Online) 2nd September Morning Slot
+4
-1
A cylindrical vessel containing a liquid is rotated about its axis so that the liquid rises at its sides as shown in the figure. The radius of vessel is 5 cm and the angular speed of rotation is $$\omega$$ rad s–1. The difference in the height, h (in cm) of liquid at the centre of vessel and at the side will be :
A
$${{2{\omega ^2}} \over {25g}}$$
B
$${{5{\omega ^2}} \over {2g}}$$
C
$${{25{\omega ^2}} \over {2g}}$$
D
$${{2{\omega ^2}} \over {5g}}$$
2
JEE Main 2020 (Online) 9th January Evening Slot
+4
-1
A small spherical droplet of density d is floating exactly half immersed in a liquid of density $$\rho$$ and surface tension T. The radius of the droplet is (take note that the surface tension applies an upward force on the droplet) :
A
$$r = \sqrt {{T \over {\left( {d - \rho } \right)g}}}$$
B
$$r = \sqrt {{{2T} \over {3\left( {d + \rho } \right)g}}}$$
C
$$r = \sqrt {{T \over {\left( {d + \rho } \right)g}}}$$
D
$$r = \sqrt {{{3T} \over {\left( {2d - \rho } \right)g}}}$$
3
JEE Main 2020 (Online) 9th January Evening Slot
+4
-1
Two steel wires having same length are suspended from a ceiling under the same load. If the ratio of their energy stored per unit volume is 1 : 4, the ratio of their diameters is:
A
1 : 2
B
2 : 1
C
$$1:\sqrt 2$$
D
$$\sqrt 2 :1$$
4
JEE Main 2020 (Online) 9th January Morning Slot
+4
-1
Water flows in a horizontal tube (see figure).
The pressure of water changes by 700 Nm–2
between A and B where the area of cross section
are 40 cm2 and 20 cm2, respectively. Find the
rate of flow of water through the tube.
(density of water = 1000 kgm–3)
A
1810 cm3/s
B
2420 cm3/s
C
3020 cm3/s
D
2720 cm3/s
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