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Solution for Class 11, Physics, Gravitation And Fluid

Question 1

40cm (a) ठ 40cm (b) चित्र 10.24 10.19 3.00mm त्रिज्या की किसी पारे की बंद के भीतर कमरे के ताप पर दाब क्या है? 20°C ताप पर पार का पृष्ठ तनाव 4.65 x 10 Nm है। यदि वायुमंडलीय दाब 1.01 x 105 Pa है, तो पारे की बूँद के ना दाब-अधिक्य भी ज्ञात कीजिए। 10.20 5.00mm त्रिज्या के किसी साबुन के विलयन के बुलबुले के भीतर दाब आधिक्य क्या है? 20°C ताप प साबुन के विलयन का पृष्ठ तनाव 2.50x10 Nm-' है। यदि इसी विमा का कोई वायु का बुलबुला 1.20 आपेक्षिक घनत्व के साबुन के विलयन से भरे किसी पात्र में 40.0cm गहराई पर बनता, तो इस बुलबुले के भीतर क्या दाब होता, ज्ञात कीजिए। (1 वायुमंडलीय दाब = 1.01 x 105 Pa) | अतिरिक्त अभ्यास 10.21 1.0m क्षेत्रफल के वर्गाकार आधार वाले किसी टैंक को बीच में ऊर्ध्वाधर विभाजक दीवार द्वारा दो भागों में बाँटा गया है। विभाजक दीवार में नीचे 20 cm2 क्षेत्रफल का कब्ज़ेदार दरवाजा है। टैंक का एक भाग जल से भरा है तथा दूसरा भाग 1.7 आपेक्षिक घनत्व के अम्ल से भरा है। दोनों भाग 4.0m ऊँचाई तक भरे गए हैं। दरवाज़े को बंद रखने के आवश्यक बल परिकलित कीजिए। 10.22 चित्र 10.25(a) में दर्शाए अनुसार कोई मैनोमीटर किसी बर्तन में भरी गैस के दाब का पाठ्यांक लेता है। पंप द्वारा कुछ गैस बाहर निकालने के पश्चात् मैनोमीटर चित्र 10.25 (b) में दर्शाए अनुसार पाठ्यांक लेता है। मैनोमीटर में पारा भरा है तथा वायुमंडलीय दाब का मान 76 cm (Hg) है। (1) प्रकरणों (a) तथा (b) में बर्तन में भरी गैस के निरपेक्ष दाब तथा प्रमापी दाब cm (Hg) के मात्रक में लिखिए। 20 cm 40cm (c) (11) यदि मैनोमीटर की दाहिनी भुजा में 13.6cm ऊँचाई तक जल (पारे के साथ अमिश्रणीय) उड़ेल दिया जाए तो प्रकरण (b) में स्तर में क्या परिवर्तन होगा ? (गैस के आयतन में हुए थोड़े परिवर्तन की उपेक्षा कीजिए।) पंप को चित्र 10.25 18cm (b) त्रिगुण 10.23 10.24 10.25 10.26 10.27 10.2 10. 10

Topic:

Gravitation and Fluid

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Question 2

12. Explain the variation of '

g

' with depth from the Earth's surface.

Topic:

Gravitation and Fluid

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Question 3

Two uniformsolid spheres of equal radii R,but mass M and 4M have a center saperation 6R,the two spheres are held fixed.a projectile of mass m is projected from the surface of circle ⭕ with mass M to the surface of the circle with mass 4M find the expression for the minimum speed v of the projectile so that it reaches reaches the surface of 2nd sphere

Topic:

Gravitation and Fluid

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Question 4

Find the work done in transferring a liquid of surface tension T from a vessel of square cross section of Side length A to a vessel of hexagonal shape of side length A.

Topic:

Gravitation and Fluid

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Question 5

8. A cylinder of radius

R

and height

H

is filled with a liquid to an unknown height

h

. When it is rotated at an unknown constant angular velocity

ω

, the base of the cylinder gets exposed when the liquid just starts spilling out, as shown in figure. (a) Find the height

h

of the liquid. (b) Find the angular speed

ω

of the cylinder. 9. A cylinder of radius

R = 1 m

Topic:

Gravitation and Fluid

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Question 6

A liquid X of density 3.36 g cm-³ is poured in a U-tube, which contains Hg. Another liquid Y is poured in left arm with height 8 cm, upper levels of X and Y are same. What is density of Y? (a) 0.8 gcc-1 (c) 1.4 gcc-1 P₁ +

y

8 + Snyg2 = X6 + $₁810 S8+13.6x2 88 = ARJUNA MR* Soil < Swal + ARJUNA = 3.36×10 (a) 650 kg m-³ (c) 425 kg m-3 (b) (d) In a u-tube as shown in the figure water and oil are in the left side and right side of the tube respectively. The heights from the bottom for water and oil columns are 15 cm and 20 cm respectively. The density of the oil is [take pwater = 1000 kg/m³] [NEET-2019 (Odisha)] (a) 1333 kg/m³ 750 kg/m³ 1.2 gcc-¹ 1.6 gcc-1 10³ x 13. Ty 8 cm 2(m. (b) 1200 kg/m³ (d) 1000 kg/m³ R₁ +

₁₂

15 = R₂+ So Doc 13² x 132² =20 80 3x100 = So ។ (b) (d) PB = Pc So $14/8/4= Sw8/136/ 8.= ↑ 15 cm Oil water A U tube with both ends open to the atmosphere, is partially filled with water. Oil, which is immiscible with water, is poured into one side until it stands at a distance of 10 mm above the water level on the other side. Mean à rises by 65 mm from its original level (see diagram). The de 17-18/26 800 kg m-³ 928 kg m-³ P= ?? 65 mm 65 mm rest E 10-cm Pa Water oil 20 cm 10 mm Final water level Initial water level P. W An open U-tube contains mercury. When 13.6 cm of water is poured into one of the arms of the tube then the mercury rise in the other arm from its initial level is P W Pw ...

Topic:

Gravitation and Fluid

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Question 7

Define escape speed. (ii) Derive an expression for escape speed. (iii) What is the value of escape speed on the surface of earth?

Topic:

Gravitation and Fluid

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Question 8

A meter scale made up of steel has two holes, at its ends. When it is heated to some temperature, the separation between the holes

Will increase e 0 o
Will decrease dont holg also oxpqud?
WIII not change
May increase or decrease

Topic:

Gravitation and Fluid

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Question 9

(28.) A fully loaded aircraft has mass of

3.3 \times 1 0^{5} kg

. Its total wing area is

500 m^{2}

. It is in level flight with a speed of

960 km / h

. Pressure difference between lower and upper surfaces of wings is

$5.6 \times 1 0^{3} N / m^{2}$
$6.5 \times 1 0^{3} N / m^{2}$
$4.2 \times 1 0^{3} N / m^{2}$
$7.2 \times 1 0^{3} N / m^{2}$

Topic:

Gravitation and Fluid

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Question 10

\frac{1}{T ^{'}} = \frac{1}{( 4 ) ^{3/2}}

Q. The K.F of a planet in an elliptical ortit abaut the sun, at position

A, B, & C

are

K_{A}, K_{B} & K_{C}

, rerpectiely.

A C

is the major axis and

SB

L_{A}

A C

at the position of the sen

S

as shaun in the fing. then: a.

K_{A} < K_{B} < K_{C}

Distence \&

k \cdot E \frac{1}{उतनी}

Topic:

Gravitation and Fluid

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Question 11

Q:- Tue drof have Radius of ratio

5 : 2

. (1) Compare Excess pressure Ans.

\frac{P _{1}}{R _{2}} = \frac{R _{2}}{R _{1}} = \frac{3}{5}

Excess pressure

\propto \frac{1}{R}

classmate

Topic:

Gravitation and Fluid

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Question 12

ग्रही की गति सम्बंधी केपलर के नियम को लिखिए तथ समझाइए।

Topic:

Gravitation and Fluid

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Question 13

Obtain the formula for the escape velocity of a body from the earth

Topic:

Gravitation and Fluid

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Question 14

Instant Notes Earth is not a perfect sphere. Earth is flat at the poles and it is bulged a Hence the polar radius is lesser than the equatorial radius by

21 km

. greater at the Polar Regions than at the equatorial regions. Cravitational potential potential. Ans: Gravitational potential at a point is defined as the amount of work donsi unit mass from the point to infinity against the gravitational field. Ifs quantity. Its unit is

Nm kg^{- 1}

Topic:

Gravitation and Fluid

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Question 15

Obtain expression for the Centre of mass of a system Consisting of two particles.

Topic:

Gravitation and Fluid

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Question 16

Derive expression for the formula of rise of water in a Capillary tube.

Topic:

Gravitation and Fluid

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Question 17

3. Show that path followed by a projectile is a parabola. 4. Derive the expressions for the maximum vertical height, time of flight, range. 5. Derive the expression for the centripetal acceleration. 6. Derive

F = ma

7. State and prove law of conservation of momentum 8. Derive an expression for the speed of a vehicle in case of a) plane curved road b) banked road 9. State and prove work energy theorem. (a) Coustant forve (b) Variable fonce 10. State and prove law of conservation of energy for a freely falling body. 11. State gravitation law. And derive the relation between

g

and

G

12. Discuss variation of

g

with altitude and depth. (Smanks each) 13. Derive the expressions for the a) orbital velocity b) escape velocity, d) energy of a satellite. (5nueach)

Topic:

Gravitation and Fluid

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Question 18

2. At what depth below the surface of the earth, acceleration dueto gravity

g

will be half its value

1600 km

above the surface of the earth? 3. At what height above the surface, the value of the gravity would be half of what it is on the surface of the earth. Take radius of the earth as

Re = 6400 km . 2 R

4. Assuming earth to be a sphere of a uniform density, what

Topic:

Gravitation and Fluid

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Question 19

MEASUREMENT OF ATMOSPHERIC PRESSURE (W)

\Rightarrow

Italian scientist Evangelista Torricelli (1608- 1647) measured first time atmospheric pressure at a point using a simple instrument called mercury barometer. A long glass tube, closed at one end is filled with mercury. It is then inverted over a trough containing mercury. Mercury in the tube slides down, till it becomes stable at a level. P atmospheric

= P_{C} = P_{B}

Pressure

Topic:

Gravitation and Fluid

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Question 20

phaced in anpose a body is dipped force on the the as the buoyant fould be zero, i.e, weight ant force in accelerating fluids: supe on it ieration

a

. The buoyant force

F

in thator moving with Here,

g_{en} = ∣ g - ai ∣

. of Buoyancy of gravity of the displaced fluid is j woryant centre or centre of buoyancy. force is applicd on buoyant centre. iensity of the solid be

ρ_{s}

, density of fild be

ρ_{:}

, submersed volume of the sobject be

V_{s}

and total volume of the

4 b_{0} 1

. Then

H = B \Rightarrow ρ_{s} g = V_{s} ρ_{1} g \Rightarrow \frac{V _{s}}{V} = \frac{ρ _{s}}{ρ _{1}}

torque on the floating object should be zero, i.e., centre yof the object and buoyant centre shouid lie on the same (LHSTRATIDN G.23 a boat containing some piece of material is floating in a pond. What will happen to the level of water in the pond if on nolooding the pieces in the pond, the piece (a) floats (b) sinks?

Topic:

Gravitation and Fluid

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Solution for Class 11, Physics, Gravitation And Fluid

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