JEE PYQs Ch10 class 11th mechanical properties of fluids
1.Water flows into a large tank with flat bottom at the rate of 10-⁴m³ s -¹ . Water is also leaking out of a hole of area 1𝑐𝑚² at its bottom. If the height of the water in the tank remains steady, then this height is :
(a) 5.1 cm (b) 7 cm (c) 4 cm (d) 9 cm
JEEMAINS2019
Solution:-
2.A large open tank has two holes in the wall. One is a square hole of side L at a depth y from the top and the other is a circular hole of radius R at a depth 4y from the top. When the tank is completely filled with water the quantities of water flowing out per second from both the holes are the same. Then R is equal to
(a) 2πL
(b)L/√2π
(c)L
(d)L/2π
JEEMAINS 2000
Solution:-
3.Water is filled in a container upto height of 3m. A small hole of area 'a' is punched in the wall of the container at a height 52.5cm from the bottom. The cross sectional area of the container is A. If a /A=0.1 then v ² is (where v is the velocity of water coming out of the hole)
(a)50m²s-²
(b)48m²s-²
(c)51m²s-²
(d)51.5m²s-²
JEEMAINS 2005
Solution:-
4.A solid sphere, of radius R acquires a terminal velocity 𝑣1 when falling (due to gravity) through a viscous fluid having a coefficient of viscosity 𝜂. The sphere is broken into 27 identical solid spheres. If each of these spheres acquires a terminal velocity 𝑣2, when falling through the same fluid. The ratio (𝑣1/𝑣2) equals :
(a) 9 (b) 1/27
(c) 1/9 (d) 27
JEEMAINS 2019
Solution:-
5.A submarine experiences a pressure of 5.05 × 10⁶ Pa depth of 𝑑1 in a sea. When it goes further to a depth of 𝑑2, it experiences a pressure of 8.08 ×10⁶Pa., Then 𝑑2 − 𝑑1 is approximately (density of water = 10³kg/m³ and acceleration due to gravity= 10ms−².
(a) 300 m (b) 400 m
(c) 600 m (d) 500 m
JEEMAINS 2019
Solution:-
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