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An ideal fluid flows (laminar flow) through a pipe of non-uniform diameter. The maximum and minimum diameters of the pipes are $6.4 c m$ and $4.8 c m$ , respectively. The ratio of the minimum and the maximum velocities of fluid in this pipe is:

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Important Questions on Properties of Solid and Liquid

HARD

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 7 - Properties of Solid and Liquid>JEE Main - 8th January 2020 Shift 1>Q 46

Consider a solid sphere of radius

R

and mass density

ρ (r) = ρ_{0} (1 - \frac{r^{2}}{R^{2}}), 0 < r \leq R .

The minimum density of a liquid in which it will float is:

HARD

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 7 - Properties of Solid and Liquid>JEE Main - 8th January 2020 Shift 2>Q 47

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Two liquids of densities $ρ_{1}$ and $ρ_{2} (ρ_{2} = 2 ρ_{1})$ 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 $M N$ to that at the lower part $N O$ is (Assume that the liquids are not mixing):

MEDIUM

JEE Main

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EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 7 - Properties of Solid and Liquid>JEE Main - 9th January 2020 Shift 1>Q 48

Water flows in a horizontal tube (see figure). The pressure of water changes by

700 N m^{- 2}

between

A

and

B

where the area of cross section are

40 {cm}^{2}

and

20 {cm}^{2},

respectively. Find the rate of flow of water through the tube. (density of water

= 1000 kg m^{- 3}

)

MEDIUM

JEE Main

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EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 7 - Properties of Solid and Liquid>JEE Main - 9th January 2020 Shift 1>Q 49

A body of mass

m = 10 k g

is attached to one end of a wire of length

0.3 m

. What is the maximum angular speed (in

r a d s^{- 1}

) with which it can be rotated about its other end in a space station without breaking the wire?
[Breaking stress of wire

(σ)

= 4.8 \times 10^{7} N m^{- 2}

and area of cross-section of the wire

= 10^{- 2} c m^{2}

]

MEDIUM

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 7 - Properties of Solid and Liquid>JEE Main - 9th January 2020 Shift 2>Q 50

A small spherical droplet of density

d

is floating exactly half immersed in a liquid of density

ρ

and surface tension

T .

The radius of the droplet is (take note that the surface tension applies an upward force on the droplet):

MEDIUM

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 7 - Properties of Solid and Liquid>JEE Main - 9th January 2020 Shift 2>Q 51

Two steel wires having same length are suspended from a ceiling under the same load. If the ratio of their energy stored per unit volume is

1 : 4,

the ratio of their diameters is:

EASY

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 7 - Properties of Solid and Liquid>JEE Main - 9th April 2019 Shift 1>Q 52

' M'

is the mass of water that rises in a capillary tube of radius

' r'

, then mass of water which will rise in a capillary tube of radius

' 2 r'

is:

HARD

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 7 - Properties of Solid and Liquid>JEE Main - 9th April 2019 Shift 2>Q 53

A wooden block floating in a bucket of water has

\frac{4}{5}

of its volume submerged. When certain amount of an oil is poured into the bucket, it is found that the block is just under the oil surface with half of its volume under water and half in oil. The density of oil relative to that of water is:

An ideal fluid flows (laminar flow) through a pipe of non-uniform diameter. The maximum and minimum diameters of the pipes are 6.4cm and 4.8cm , respectively. The ratio of the minimum and the maximum velocities of fluid in this pipe is:

Important Questions on Properties of Solid and Liquid

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An ideal fluid flows (laminar flow) through a pipe of non-uniform diameter. The maximum and minimum diameters of the pipes are $6.4 c m$ and $4.8 c m$ , respectively. The ratio of the minimum and the maximum velocities of fluid in this pipe is: