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A hollow spherical shell at outer radius $R$ floats just submerged under the water surface. The inner radius of the shell is $r .$ If the specific gravity of the shell material is $\frac{27}{8}$ with respect to water, the value of $r$ is:

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Important Questions on Properties of Solid and Liquid

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JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 7 - Properties of Solid and Liquid>JEE Main - 5 September 2020 Shift 2>Q 41

In an experiment to verify Stokes law, a small spherical ball of radius

r

and density

ρ

falls under gravity through a distance

h

in air before entering a tank of water. If the terminal velocity of the ball inside water is same as its velocity just before entering the water surface, then the value of

h

is proportional to: (ignore viscosity of air)

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EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 7 - Properties of Solid and Liquid>JEE Main - 6 September 2020 Shift 1>Q 42

An object of mass

m

is suspended at the end of a massless wire of length

L

and area of cross-section, A. Young modulus of the material of the wire is

Y

. If the mass is pulled down slightly its frequency of oscillation along the vertical direction is :

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EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 7 - Properties of Solid and Liquid>JEE Main - 6 September 2020 Shift 2>Q 43

A fluid is flowing through a horizontal pipe of varying cross-section, with

v {ms}^{- 1}

at a point where the pressure is

P

Pascal. At another point where pressure

\frac{P}{2}

Pascal its speed is

V {ms}^{- 1}

. If the density of the fluid is

ρ kg - m^{- 3}

and the flow is streamline, then

V

is equal to

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EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 7 - Properties of Solid and Liquid>JEE Main - 7th January 2020 Shift 1>Q 44

Speed of a transverse wave on a straight wire (mass

6.0 g,

length

60 c m

and area of cross-section

1.0 m m^{2}

90 {m s}^{- 1}

. If the Young's modulus of wire is

16 \times 10^{11} N m^{- 2}

, the extension of wire over its natural length is:

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JEE Main

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EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 7 - Properties of Solid and Liquid>JEE Main - 7th January 2020 Shift 2>Q 45

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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JEE Main

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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):

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JEE Main

IMPORTANT

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}

)

A hollow spherical shell at outer radius R floats just submerged under the water surface. The inner radius of the shell is r . If the specific gravity of the shell material is 278 with respect to water, the value of r is:

Important Questions on Properties of Solid and Liquid

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A hollow spherical shell at outer radius $R$ floats just submerged under the water surface. The inner radius of the shell is $r .$ If the specific gravity of the shell material is $\frac{27}{8}$ with respect to water, the value of $r$ is: