1
JEE Main 2020 (Online) 8th January Evening Slot
+4
-1
Two liquids of densities $${\rho _1}$$ an $${\rho _2}$$ ($${\rho _2}$$ = 2$${\rho _1}$$) are filled up behind a square wall of side 10 m as shown in figure. Each liquid has a height of 5 m. The ratio of the forces due to these liquids exerted on upper part MN to that at the lower part NO is (Assume that the liquids are not mixing)
A
1/3
B
1/2
C
1/4
D
2/3
2
JEE Main 2020 (Online) 8th January Morning Slot
+4
-1
Consider a solid sphere of radius R and mass density
$$\rho \left( r \right) = {\rho _0}\left( {1 - {{{r^2}} \over {{R^2}}}} \right)$$ , $$0 < r \le R$$
The minimum density of a liquid in which it will float is :
A
$${{2{\rho _0}} \over 3}$$
B
$${{2{\rho _0}} \over 5}$$
C
$${{{\rho _0}} \over 5}$$
D
$${{{\rho _0}} \over 3}$$
3
JEE Main 2020 (Online) 8th January Morning Slot
+4
-1
A leak proof cylinder of length 1m, made of a metal which has very low coefficient of expansion is floating vertically in water at 0°C such that its height above the water surface is 20 cm. When the temperature of water is increased to 4°C, the height of the cylinder above the water surface becomes 21 cm. The density of water at T = 4°C, relative to the density at T = 0°C is close to :
A
1.04
B
1.26
C
1.01
D
1.03
4
JEE Main 2020 (Online) 7th January Evening Slot
+4
-1
An ideal fluid flows (laminar flow) through a pipe of non-uniform diameter. The maximum and minimum diameters of the pipes are 6.4 cm and 4.8 cm, respectively. The ratio of the minimum and the maximum velocities of fluid in this pipe is :
A
$${3 \over 4}$$
B
$${9 \over {16}}$$
C
$${{\sqrt 3 } \over 2}$$
D
$${{81} \over {256}}$$
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