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Mechanical Properties of Fluids

Surface tension and viscosity

A small spherical body of radius r and density moves with the

Question

Medium

Solving time: 3 mins

A small spherical body of radius $r$ and density $ρ$ moves with the terminal velocity $v$ in a fluid of coefficient of viscosity $η$ and density $σ$ . What will be the net force on the body ?

\frac{4 π}{3} r^{3} (ρ - σ) g

6 π ηr v

Zero

Infinity

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Theodore Discussed

A small spherical body of radius

r

and density

ρ

moves with the terminal velocity

v

in a fluid of coefficient of viscosity

η

and density

σ

. What will be the net force on the body ?

15 mins ago

Discuss this question LIVE

15 mins ago

Text solutionVerified

As it move with terminal velocity so net force is 0

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Practice more questions from Mechanical Properties of Fluids

Question 1

Hard

A cylindrical tank has a mass of the

200 kg

and inner radius of

r = 2.0 m

. The tank has no bottom and is directly bolted to the floor

[B_{1}

and

B_{2}

are bolts in the figure]. The tank is connected to an elevated open tank and both the tanks are filled with a liquid as shown in the figure. Various heights are as shown. When a small wooden cube of specific gravity

0.6

is placed in the upper tank, it floats while remaining exactly half submerged. Calculate the force applied by the bolts in holding the tank.

Topic:

Mechanical Properties of Fluids

Book:

Problems in Physics I for IIT JEE (McGraw Hill)

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Question 2

Easy

If the surface tension of a liquid is T, the gain in surface energy for an increase in liquid surface by A is:

$A T^{- 1}$
$A T$
$A^{2} T$
$A^{2} T^{2}$

Topic:

Mechanical Properties of Fluids

Book:

Fundamentals of Physics, Extended

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Question 3

Medium

A trolly of

10, 000 kg

is placed on a platform which is fixed to a press piston of a hydraulic lift. The areas of cross section of the press piston and pump piston are

72 m^{2}

and

0.6 m^{2}

, respectively. Arrange the following steps in a proper order to find the effort applied on the pump piston and mechanical advantage of hydraulic lift by using load and effort. (A) Pressure is equal on both the press and pump pistons, i.e.,

P_{1} = P_{2}

\frac{F _{1}}{a _{1}} = \frac{F _{2}}{a _{2}}

. (B) Find the mass of the trolly, areas of cross section of pump piston and press piston from the given data. (C) The force on the press piston

(F_{2})

is equal to weight of the trolly, this is the load. (D) The amount of force

(F_{1})

needed to be applied on the pump piston to lift the trolly is effort. (E) The mechanical advantage of the hydraulic machine is the ratio of load to effort.

$A BC D E$
$A D CB A$
$BC D A E$
$BC A E D$

Topic:

Mechanical Properties of Fluids

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Question 4

Easy

A capillary tube is taken from the earth to the surface of moon. The rise of the liquid column on moon, if acceleration due to gravity on earth is six times that on moon is:-

Six times that on the earth's surface
$1/6$ that on the earth's surface
Equal to that on the earth's surface
Zero

Topic:

Mechanical Properties of Fluids

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Practice questions on similar concepts asked by Filo students

Question 1

of होता है दि देखिए) । यहाँ यह प्रासंगिक होगा कि हम एक दूसरी उसकोणी क्रिस्थापव

= (+ 38

विस्थापन (यहाँ हम ग्रीक अक्षर डेल्टा

(Δ)

का प्रयोग किरी परिवर्तन को व्यक्त करने के लिए करते हैं)। यदि

x_{2} > x_{1}

तो

Δ x

धनात्मक होगा, परंतु यदि

x

को स्थिति-सम

Δ x

ॠणात्मक होगा । विस्थापन में परिमाण व दिश है। हैं, ऐसी राशियों को सदिशों द्वारा निरूपित किया ज्ञाता है सदिशों के विषय में अगले अध्याय में पढ़ेंगे । इस अभ्याए एक सरल रेखा के अनुदिश सरल गति (जिसे हम रेखेंदा। कहते हैं) के विषय में ही पढ़ेंगे । एक-विमीय गति सें 40 दो ही दिशायें होती हैं (अग्रवर्ती एवं पश्चगामी अथवा कड एवं ऊर्ध्वगामी) जिनमें वस्तु गति करती है । इन दोनों कै 20 को हम सुगमता के लिए + और - संकेतों से व्यक्त का हैं । उदाहरण के लिए, यदि कार स्थिति

O

से

P

पर शै है, तो उसका विस्थापन

Δ x = x_{2} - x_{1} = (+ 360 m) - 0 m = + 360 m

होगा । इस विस्थापन का परिमाण

360 m

है तथा इसकी

x

की धनात्मक दिशा में होगी जिसे हम + संकेत से चिहित के इसी प्रकार कार का P से

Q

तक का विस्थापन 2401

360 m = - 120 m

होगा । ऋणात्मक चिह्न विस्थापन की को इंगित करता है । अतएव, वस्तु की एक-विमाय के विवरण के लिए सदिश संकेत का उपयोग आवश्यक होता है ।

Topic:

Modern Physics

View solution

Question 2

The switch is open and capacitors are uncharged. At t =o the switch S is closed.Find the equivalent resistance of the circuit at t=o R=R,R=R/2,C=C,C=C/2

a)R
MM
b)R CR dR
eR

Topic:

Physics

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Question 3

Topic: Vectors 1. If vectors

a = x \hat{i} + 2 \hat{j} + z \hat{k}

and

b = 2 \hat{i} + y \hat{j} + \hat{k}

are equal then the value of

x + y + z

is:

(c) 4 (d) 5

Topic:

Mechanics

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Question 4

Given peaks are for

k_{α}

and

k_{β} x

-rays for a metal target in the shown graph. Energy of metal atom when electron is taken out of

n = 3

375 eV

. What will be energy of atom (in

eV

) if

e^{-}

is taken out of both

K

shell and

L

shell ? (Take hC

= 12400 eV \overset{˚}{A}

)

Topic:

Modern Physics

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Question Text	A small spherical body of radius $r$ and density $ρ$ moves with the terminal velocity $v$ in a fluid of coefficient of viscosity $η$ and density $σ$ . What will be the net force on the body ?
Topic	Mechanical Properties of Fluids
Subject	Physics
Class	Class 11
Answer Type	Text solution:1
Upvotes	84