1
JEE Main 2019 (Online) 11th January Morning Slot
+4
-1
A liquid of density $$\rho$$ is coming out of a hose pipe of radius a with horizontal speed $$\upsilon$$ and hits a mesh. 50% of the liquid passes through the mesh unaffected. 25% looses all of its momentum and 25% comes back with the same speed. The resultant pressure on the mesh will be :
A
$${3 \over 4}\rho {v^2}$$
B
$${1 \over 4}\rho {v^2}$$
C
$${1 \over 2}\rho {v^2}$$
D
$$\rho {v^2}$$
2
JEE Main 2019 (Online) 10th January Morning Slot
+4
-1
Water flows into a large tank with flat bottom at the rate of 10–4m3s–1. Water is also leaking out of a hole ofarea 1 cm2 at its bottom. If the height of the water in the tank remains steady, then this height is -
A
2.9 cm
B
5.1 cm
C
4 cm
D
1.7 cm
3
JEE Main 2019 (Online) 9th January Evening Slot
+4
-1
The top of a water tank is open to air and its water level is mainted. It is giving out 0.74 m3 water per minute through a circular opening of 2 cm radius in its wall. The depth of the center of the opening from the level of water in the tank is close to :
A
6.0 m
B
4.8 m
C
9.6 m
D
2.9 m
4
JEE Main 2019 (Online) 9th January Morning Slot
+4
-1
A rod, of length L at room temperature and uniform area of cross section A, is made of a metal having coefficient of linear expansion $$\alpha$$/oC. It is observed that an external compressive force F, is applied on each of its ends, prevents any change in the length of the rod, when its temperature rises by $$\Delta$$TK. Young's modulus, Y, for this metal is :
A
$${F \over {A\alpha \Delta T}}$$
B
$${F \over {A\alpha (\Delta T - 273)}}$$
C
$${F \over {2A\alpha \Delta T}}$$
D
$${{2F} \over {A\alpha \Delta T}}$$
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