Physics For Joint Entrance Examination JEE (Advanced): Mechanics II>Chapter 6 - Fluid Mechanics>Exercises>Q 11

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IMPORTANT

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A horizontal oriented tube $A B$ of length $l = 2.5 m$ rotates with a constant angular velocity $ω = 5 r a d s^{- 1}$ about a stationary vertical axis $O O'$ passing through the end $A$ . Initially, the tube is filled with an ideal fluid. The end $A$ of the tube is open, and the closed end $B$ has a very small orifice. Find the velocity of the fluid (in $m s^{- 1}$ ) relative to the tube when the liquid column length in tube reduce to $h = 1 m$ .

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Important Questions on Fluid Mechanics

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JEE Advanced

IMPORTANT

Physics For Joint Entrance Examination JEE (Advanced): Mechanics II>Chapter 6 - Fluid Mechanics>Exercises>Q 12

A tube of uniform cross-section has two vertical portions connected with a horizontal thin tube

8 c m

long at their lower ends. Enough water to occupy

22 c m

height of the tube is poured into one branch and enough oil of specific gravity

0.8

to occupy

22 c m

height is poured into the other. Find the distance (in

c m

) of the common surface $E$ of the two liquids from point

B

.

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JEE Advanced

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Physics For Joint Entrance Examination JEE (Advanced): Mechanics II>Chapter 6 - Fluid Mechanics>Exercises>Q 13

A uniform rod

A B

,

12 m

long and weighing

24 k g

, is supported at end

B

by a flexible, light string and a lead weight (of very small size) of

12 k g

is attached at end

A

.

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The rod floats in water with one-half of its length submerged. The volume is given by

x \times 10^{- 3} m^{3}

. Find the value of

x

[Take

g = 10 m s^{- 2}

, density of water

= 1000 k g m^{- 3}

]

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JEE Advanced

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Physics For Joint Entrance Examination JEE (Advanced): Mechanics II>Chapter 6 - Fluid Mechanics>Exercises>Q 14

A uniform rod of length $b = 90 c m$ capable of turning about its end which is out of water, rests inclined to the vertical. If its specific gravity is $5 / 9$ , find the length immersed in water (in $c m$ ).
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JEE Advanced

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Physics For Joint Entrance Examination JEE (Advanced): Mechanics II>Chapter 6 - Fluid Mechanics>Exercises>Q 15

A solid block of volume

V = 10^{- 3} m^{3}

and density

d = 800 k g / m^{3}

is tied to one end of a string, the other end of which is tied to the bottom of the vessel. The vessel contains two immiscible liquids of densities

ρ_{1} = 1000 k g / m^{3}

and

ρ_{2} = 1500 k g / m^{3}

The solid block is immersed with

2 / 5 t h

of its volume in the liquid of higher density and

3 / 5 t h

in the liquid of lower density. The vessel is placed in an elevator which is moving up with an acceleration of

a = g / 2

. Find the tension in the string (in

N

).

[g = 10 m / s^{2}]