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A glass beaker of mass $400 g$ floats in water with the open end just touching the surface of water and half of the beaker filled with water. The inner volume of the beaker is $500 {cm}^{3} .$ What is the density of the material of the beaker?

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Important Questions on Fluid Mechanics

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JEE Main

IMPORTANT

Chapterwise/Topicwise Daily Practice Problems (DPP) Mechanics - II JEE Main & Advanced>Chapter 4 - Fluid Mechanics>DPP 4.2>Q 2

Two bodies are in equilibrium when suspended in water from the arms of a balance. The mass of one body is

36 g

and its density is

9 g {cm}^{- 3} .

If the mass of the other is

48 g,

its density in

g {cm}^{- 3}

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Chapterwise/Topicwise Daily Practice Problems (DPP) Mechanics - II JEE Main & Advanced>Chapter 4 - Fluid Mechanics>DPP 4.2>Q 3

A body of density

d_{1}

is counterpoised by

M g

of weights of density

d_{2}

in air of density

d

. Then the true mass of the body is

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JEE Main

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Chapterwise/Topicwise Daily Practice Problems (DPP) Mechanics - II JEE Main & Advanced>Chapter 4 - Fluid Mechanics>DPP 4.2>Q 4

A log of wood of mass

120 kg

floats in water. The weight that can be put on the raft to make it just sink should be (density of wood

= 600 kg m^{- 3}

)

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Chapterwise/Topicwise Daily Practice Problems (DPP) Mechanics - II JEE Main & Advanced>Chapter 4 - Fluid Mechanics>DPP 4.2>Q 5

A hemispherical bowl just floats without sinking in a liquid of density

1 .2 \times 10^{3} kg m^{- 3}

. If outer diameter and the density of the bowl are

1 m

and

2 \times 10^{4} kg m^{- 3}

respectively, then the inner diameter of the bowl will be

HARD

JEE Main

IMPORTANT

Chapterwise/Topicwise Daily Practice Problems (DPP) Mechanics - II JEE Main & Advanced>Chapter 4 - Fluid Mechanics>DPP 4.2>Q 6

A concrete sphere of radius $R$ has a cavity of radius $r$ which is packed with sawdust. The specific gravities of concrete and sawdust are $2.4$ and $0.3$ respectively. For this sphere to float with its entire volume submerged under-water, the ratio of mass of concrete to mass of sawdust will be

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Chapterwise/Topicwise Daily Practice Problems (DPP) Mechanics - II JEE Main & Advanced>Chapter 4 - Fluid Mechanics>DPP 4.2>Q 7

A solid sphere of density $η (> 1)$ times lighter than water is suspended in a water tank by a string tied to its base, as shown in the figure. If the mass of the sphere is $m$ then the tension in the string is given by

Question Image

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JEE Main

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Chapterwise/Topicwise Daily Practice Problems (DPP) Mechanics - II JEE Main & Advanced>Chapter 4 - Fluid Mechanics>DPP 4.2>Q 8

A hollow sphere of volume

V

is floating on water surface with half immersed in it. What should be the minimum volume of water poured inside the sphere so that the sphere now sinks into the water?

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JEE Main

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Chapterwise/Topicwise Daily Practice Problems (DPP) Mechanics - II JEE Main & Advanced>Chapter 4 - Fluid Mechanics>DPP 4.2>Q 9

A ball whose density is

0.4 \times 10^{3} kg m^{- 3}

falls into water from a height of

9 cm

. To what depth does the ball sink?

A glass beaker of mass 400 g floats in water with the open end just touching the surface of water and half of the beaker filled with water. The inner volume of the beaker is 500 cm3. What is the density of the material of the beaker?

Important Questions on Fluid Mechanics

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A glass beaker of mass $400 g$ floats in water with the open end just touching the surface of water and half of the beaker filled with water. The inner volume of the beaker is $500 {cm}^{3} .$ What is the density of the material of the beaker?