physics paper i board revision 2009 - 10

8/14/2019 Physics Paper I Board Revision 2009 - 10

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Note these Points - - -

1. It is essential to give question number and sub

question number in the margin provided.2. Next question ( NOT SUBQUESTION) must start on

next page.

3. Draw relevant diagrams even if not asked.

4. All figures must be drawn by pencil. They must belabeled and sufficiently large.

5. All most every definition must be with example.

6. If question is about comparison or assumptionsthen just give the list of points.


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Note these Points - - -

7. While solving problems first write given data convert itinto S.I. units. Write the formula needed and substitutethe values. Do calculations using log or direct in a boxcall it as rough work ( it should be neat and goodlooking)

8. The answer of numerical problem must be with units andshould be in a box.

9. While deriving any expression remember that your nextstep is outcome of previous step.

10. If you want to cancel some part dont cancel it as

Parallel axis theorem : If Iz is MI about an axisperpendicular

1. it should be as


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PAPER-I Physics BOARD PATERN IS

1. Select most appropriate choice

1 to 6 theoretical and 7,8 numerical

2. (A) Any one from two numerical (2 + 2)

(B) Any two from three theory (3 + 3 + 3)

3. (A) Any one from two theory (2 + 2)

(B) Any two from three theory (3 + 3+ 3)

4. (A) Any two from three theory (3 + 3 +3)

(B) Any two from three theory (2+ 2)

5. (A) Any two from three theory (4 + 4 +4)


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Circular

MotionTotal Marks 4/6

Question may be of1,2,3 or 4 marks


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Circular Motion

Questions for 2 marks

1. Define uniform circular motion. Why it iscalled as periodic?

2. Define angular displacement, radius vector

3. Define angular acceleration, Centripetal force

4. Obtain relation between velocity and angularvelocity of a particle in UCM

5. Obtain relation between linear acceleration

and angular acceleration of a particle incircular motion


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6. What is banking of road?Is the safe speedlimit is same for all vehicles? why?

7. Derive expression for maximum speedwhere the curved road is not banked

8. Explain the need of banking of road

9. Distinguish between centripetal andcentrifugal force

10.Explain why centrifugal force is called aspseudo force

11.Draw neat diagram of force acting onvehicle moving along banked road


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12.Define angular velocity, angular acceleration andgive their directions

13.Define angular velocity, angular acceleration andgive their SI units

14.Define UCM and obtain relation between linearand angular velocity

15.Explain centripetal and centrifugal force

16.Derive an expression for centripetal acceleration

17.Define angle of banking and obtain expression forthe same.

18.Write Newtons equations for rotational motion


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Important formulae of CM

T

1n =

n2T

2 ==

rv

=

tt

)n(n2 1212 =

=

mr

2(KE)vr

r

va 2

2

====

2222T

2cResultant (r)(raaa )+=+=

grL

hgrtangrv ===2

t 12 +=

2)() 22 += 12 (

ttt )2

(2

1 212 +

=+= 1


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1. State Newtons law of gravitation, give SIunit and dimensions of constant of

gravitation2. Obtain relation between gravitation

constant and gravitational acceleration atcertain height from surface of earth

3. Obtain relation between gravitationalacceleration at certain height fromsurface of earth and on surface of earth

4. Explain why two stage rocket isnecessary to launch a satellite

5. State the conditions under which satellitewill move in parabolic and elliptic path


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6. Derive the expression for critical velocity of asatellite.

7. Derive an expression for period of a satellite

revolving round the earth

8. Explain communication satellite and give its twoapplications

9. Define escape velocity and binding velocity

10.Obtain expression for binding energy of a body atheight h above the surface of earth when it is atrest

11.Obtain expression for escape velocity of thesatellite on surface of earth

12.Explain weightlessness


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For 4 marks

1. Define critical velocity and obtain

expression for it and state the factorson which it depends

2. Obtain expression for critical velocity of

a satellite at height h and obtainexpression for period

3. Define binding energy and obtainexpression for the same

at rest on earth surface

Orbiting at height h above the surface


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Important formulae of gravitation

221

R

MMGF = 2

R

GMg =

2

2h

hR

Rg

h)(R

GMg

+

=

+

=

=

R

dggd 1

RG3

4h)(Rg

h)(R

gR

h)(R

GMV 3h

2

C =+=+=

+=

GM

h)(R2T

3+=

RG

3

82gR

R

2GMV 3e ===

hR

GMmPE

+=

h)2(RGMmKE

+=

h)2(RGMmTE

+=

h)2(R

GMmBE

+

=

HthenVvPthenVv

thenEVVVP,infallsVv

ee

ecc

>=


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RotationalMotion

Total marks 4/6

Possible

questions are of1,2,3 or 4 marks


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2 marks

1. Define

Rigid body and Moment of inertia Radius of gyration and moment of inertia

1. Explain physical significance of MI

2. Compare MI of solid sphere and hollow

sphere of same mass and of same material3. Show that total KE of a sphere of mass m

rolling along horizontal plane with velocity vis 7mv2/10

4. Deduce an expression of KE of rolling body


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6. Prove that torque equals product ofangular velocity and moment of inertia

7. State principle of

1. parallel axis theorem

2. Principle of perpendicular axis theorem

6. Show that MI of thin uniform rod about

an axis passing through a point midwaybetween center and edge,perpendicular to it is 7ML2/48

7. Using parallel axis theorem and MI ofaxis of length L, mass m about an axisperpendicular to rod is ML2/12 obtain MIabout an axis perpendicular to rod andthrough edge


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10.MI of solid sphere about its diameter is 2MR2/5 withusual meaning then determine MI about tangent

11. Assuming MI of a uniform disc about an axis passing

through its center and perpendicular to its plane, obtain an expression for its MI about any diameter

show that MI about tangent is 5MR2/4

Show that MI about axis passing through edge andperpendicular to plane of disc is 3MR2/2

12.State the principle of conservation of angularmomentum and explain it with suitable example

13.State and prove law of conservation of angularmomentum


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3 marks each

1. Define radius of gyration and give its

physical significance2. State and prove principle of parallel axisabout moment of inertia

3. State and prove principle of perpendicular

axis about moment of inertia4. Derive expression for MI of a rod of mass

M and length L about an axis passingthrough its center and perpendicular to it,

hence obtain MI about an axisperpendicular to it and passing throughone of its edge


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Important formulae of MI

= n

1k

n

1kk

m

rm

g

=dm

dmrg

===

dmrrmI 2n

1k

2kk

RotTransRolling KEKEKE += 22Rolling I2

1vm

2

1KE +=

)

I(I12

t

==

)1(2

22

2

222

Rolling r

kvm

2

1

r

vmk

2

1vm

2

1KE +=+=

axesrespectiveabout

bodiesstanderedofMI


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OscillationTotal marks 5/7

Possible questions may be of1,2,3 or 4 marks


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2 marks question

1. Define

Periodic motion, Linear SHM

Phase of a particle performing SHM

Amplitude, Period for particle in SHM

Angular SHM,force constant

Phase and epoch

Seconds pendulum, simple pendulum

1. State the expression for KE and writevalues for KE at mean position andextreme position


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3. Show that PE of a particle is directlyproportional to the square of its displacementfrom mean position

4. Assuming expression for KE and PE of aparticle performing SHM obtain expressionfor TE and deduce conclusion from it.

5. Define seconds pendulum and show thatlength of seconds pendulum is constant atgiven place

6. Deduce an expression for period of a particle

performing SHM in terms of force constant7. Draw diagram showing displacement and

velocity against time


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8. Obtain expression of velocity usingdifferential equation of SHM

9. Obtain expression for period of simple

pendulum10. State differential equation for angular SHM

give one example for the same.

11. Represent KE and PE against displacement

in separate graphs with proper labeling12. Write down at what distance from mean

position the KE =PE and at what distancevelocity will be half of maximum


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3 marks question

1. Show that linear SHM can be considered as the

projection of UCM on any diameter2. Represent graphically the displacement,

velocity and acceleration against time for aparticle performing linear SHM when it starts

from extreme position3. Assuming general equation of displacement in

SHM obtain expression for velocity andacceleration

4. Obtain expressions for KE,PE and hence showthat TE is constant for linear SHM

5. Discuss analytically, the composition of twoSHMs of same period and parallel to each

other


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4 marks question

1. State the differential equation of SHM and

obtain expression for displacement, velocityand acceleration

2. Obtain expression for period of simplependulum, hence calculate the length of

seconds pendulum3. Obtain expression for the period of a magnet

vibrating in a uniform magnetic induction

4. If x1 = a1sin( t+ 1) and x2=a2sin( t + 2)

obtain an expression for resultant amplitudehence obtain resultant amplitude whenphase differ by 0o and by 90o.


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Important formulae of Oscillation

x-xm

k

dt

xd 22

2

==

)Asin(x +t22 xA)cos(AV t

xt22 )sin(A-a

)x-k(A2

1)x-(Am

2

1KE 2222 =2

22 kx2

1xm

2

1PE =2 22 kA

2

1Am

2

1TE =2


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Important formulae of Oscillation

ntdisplacemeunitperacc.12

km2T =

2

gL2,Tpendulumssecond'for

=

pendulumsimpleT g

L2

magnetbarMB

IT 2


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ElasticityTotal Marks 4/6

Possible questions are of1,2,3 or 4 marks


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Questions of 2 marks

1. What is elasticity? How can you differentiate between elastic bodyand plastic body?

2. Define deforming force and perfectly elastic body3. Define stress and strain,write their units

4. Define stress,strain and their dimension

5. What is shearing stress? State its units and dimension

6. The graph of stress against strain

is as shown in adjoining figure,

state what points E,Y and C

represents, define any one of them


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7. Define bulk modulus and derive expression for it.

8. What is elastic limit? What happens beyond elasticlimit?

9. State Hooks law of elasticity and define modulus ofelasticity

10.Explain why only solids posses all the three constantsof elasticity

11.Deduce an expression of Youngs modulus of materialof a long uniform wire

12.Assuming Hooks law show that Youngs modulus ofthe material of a wire is the stress required to doublethe length of wire


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13.Define modulus of rigidity and derive itsnecessary formula

14.What are the possible sources of error inSearals method to determine Y Howthey can be minimized?

15.Prove that deforming force is directly

proportional to the change in the volumeof a wire in the case of Youngs modulus

16.Define Yield point, Breaking point

17.Explain why two identical wires of thesame material used in Searles

18.S method for the determination of Y


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19. Define strain and explain its differenttypes

20.What is Poissons ratio? Why it doesnot have any unit?

Questions for 4 marks21.Derive expression for work done per

unit volume in stretching a wire

22.Describe Searles method to determine

Y23.With the graph explain behavior of a

wire under increasing load

24.Prove that strain energy per unit

Important formulae


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Important formulae

xr

LgM

x

L

A

F

Y 2

Yr

LgMx

2

dV

VdP

)VV(

dPK =

AF=

Dx

dL

L

x

Dd =

)(

)(

2

22

2

1

2

1

2

1

2

==

===

kF

)strss(Y

)strain(Y

)strain()stress(2

1

W


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Surface TensionTotal marks 4/6

Question may be of

1,2,3 or 4 marks

i f k


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1. Define

Range of molecular attraction, sphere ofinfluence

Angle of contact, surface tension

Cohesive force, Adhesive force

1. Obtain dimension of surface tension and stateits units

2. State four characteristics of angle of contact

3. Give applications of surface tension.

4. Give applications of capillary action.

3 k i


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3 marks questions

4. Explain formation of concave and convex

surface on the basis of molecular theory5. Explain why angle of contact is acute for

water glass interface and is obtuse formercury glass pair

6. Explain the term angle of contact,What isthe nature of an angle of contact for aliquid which partially wets and does notwet the solid

7. State expression for rise of liquid incapillary tube and explain the factorsaffecting the rise of liquid

4 k ti


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4 marks questions

8. Explain surface tension on the basis of

molecular theory9. What is surface energy? Establish

relation between surface tension andsurface energy

10.Using molecular theory explain why thefree surface of some liquids in contactwith a solid is not horizontal

11.What is capillarity? How it is used todetermine surface tension of a liquidwhich wets the glass.

Important formulae of properties of


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Important formulae of properties ofliquid

cos2

grhT=

FATW FLT2F =


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Wave MotionTotal marks 3/5

Questions may be of1,2,3 or 4 marks

Q ti f 2 k


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1. Wave is doubly periodic phenomenon, explain

2. State any four characteristics of simpleharmonic progressive wave

3. Define Longitudinal, Transverse wave

4. State any four characteristics of longitudinal

wave5. State any four characteristics of Transverse

wave

6. Distinguish between Transverse and

Longitudinal waves7. State and explain principle of superposition of

sound waves with the help of constructive anddestructive interference


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8. What are the conditions for beat

formation9. What are beats? State two applications

of beats

10.What is Doppler's effect? State any twoapplications

11.Draw neat labeled diagram ofQuincke's tube.

Q ti f 3 k


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11.Obtain equation of simple harmonicprogressive wave in positive direction of X axis

12. Explain the phenomenon of reflection ofsound waves from denser medium and fromrare medium

13.Explain the phenomenon of reflection of

transverse waves from denser medium andfrom rare medium

14.State and explain principle of superposition ofwaves

15.Explain method of determination ofwavelength of sound using Quinckes tube.

Q ti f 4 k


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16. Obtain expression for progressive

wave and write it in two different form17. Using analytical treatment show that

the beat frequency is equal todifference between frequencies ofinterfering waves.

Important formulae for wave


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Important formulae for wavemechanics

x2tsinAy

xtnsin2Ay

xTtsin2Ay ( )xvt2sinAy

v

xtnsin2Ay

x2 =

cosA2AAAA 2122

21R +

21 nn frequencybeat + 21 21 .frequencybeatVw

t2nnsin2.t

2nncos22Ay 2121 + =

AR


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Stationary Waves

Total marks 5/7

Questions may be of1,2,3or 4 marks

2 mark questions


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2 mark questions

1. What are stationary waves and why

they are called so?2. State any four characteristics ofstationary waves

3. What are the conditions of stationary

waves?4. What are nodes and antinodes?

5. State the difference between harmonics

and overtone6. State expression for frequency ofvibrating string hence show that n isinversely proportional to radius and root

of density of wire

7 E l i


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7. Explain resonance

8. Explain forced and free vibrations

9. Describe construction of Sonometer10.What is end correction? How toestimate end correction?

11.State any two laws of vibrating string

12.Draw Diagrams showing parallel andperpendicular position

13.Draw Fundamental mode of vibrating

air columns in open and close pipe14.Draw First and second harmonics of

string

15 Di ti i h b t H i d t


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15.Distinguish between Harmonics and overtone

16.Distinguish between stationary and progressivewaves

17.Distinguish between free and damped vibrations

18.State the formula for fundamental frequency ofstring explain terms used

19.State the formula for fundamental frequency of

vibrating air column in open pipe and explainterms used

20.State the formula for fundamental frequency ofvibrating air column in pipe closed at one end

and explain terms used

3 marks questions


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3 marks questions21. Using analytical method derive expression for resultant

displacement of two progressive waves traveling in

opposite directions.Why it is called as stationary wave.22. Explain vibration of stretched string fixed at two ends.

23. State the formula for fundamental frequency andexplain laws of vibrating string

24. Describe the construction of Sonometer and explainmethod to verify law of linear density.

25. Explain why all harmonics are present in air vibratingin a pipe open at both ends and not in pipe close atone end.

26. Explain the working of flute.

27. Explain working of harmonium.



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1. Describe construction of Sonometer and explainhow it can be used to determine frequency of a

tuning fork2. Describe Meldes experiment to determine

frequency of tuning fork in perpendicular position.

3. Describe Meldes experiment to determine

frequency of tuning fork in parallel position.4. Explain how velocity of sound can be measuredusing resonance tube

5. Describe construction of Sonometer and explainhow it can be used to determine

Law of length

Law of tension

Law of mass per unit length

Important formulae for Stationary


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p ywaves

wallfreefrom

T

t2.sin

x22AcosY

=

wallrigidfromT

t2.cos

x22AsinY =

T2LrprT2LpmT2Lpn 2 =

P

4L

1)(2N

0.3d)4(

1)V(2N

4L

1)V(2Nn

+=++==

P

2L

N

0.6d)2(

NV

2L

NVn =

+

m

Tp2nN F

=

m

TpnN F

2=


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theory of

gasesTotal marks 4/6Possible questions may be

of

1,2,3 or 4 marks Questions for 2 marks


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1. Explain the terms free path, mean free path

2. Explain cause of pressure on close container

3. Define mean square velocity,root mean squarevelocity

4. Deduce Boyles law on the basis of KTG

5. Assuming the expression for pressure exerted by thegas show that kinetic energy per mole of gas is3RT/2N

6. Explain why gases have two specific heats

7. Explain Cp greater than Cv

8. Define ideal gas.



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9. Assuming the expression for pressureexerted by the gas show that P.V=2(TKE) / 3

10.Define ideal gas.

11.Show that KE per unit volume of a gas isdirectly proportional to atmospheric pressure.

12.Define molar specific heats of gas13.Define principle specific heats of gas

14.Define internal latent heat.



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1. State any two assumptions of Kinetic

theory of gases and show that RMSvelocity is directly proportional tosquare root of absolute temperature.

2. State any two assumptions of KTG andobtain Boyles law.

3. Define principle specific heats andexplain why cp > cv



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1. Write any eight assumptions of KTG.

2. On the basis of KTG obtain expressionof pressure exerted by enclosed gas.


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Expression for terms used in KTG

Useful relations for problems:

1

2

2

1

C

C

= ( if pressure is constant)

1

2

M

M= (it temperature is constant)

2

1

T

T

=( if gas is same)

( if gas and temperature isdifferent )1

2

2

1

2

1

M

Mx

T

T

C

C=

cccc N321 ++++


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2

3

1cP = 22

3

1

3

1c

V

m.Nc

V

MP ==

M

3PVCrms =

0M

3RT=

M

3nRT=

0mN

3RT=

m

3kT=

0

0

M

T3kN=

N

ccccc N

22

3

2

2

2

12 ++++=

N

ccccc N321

++++=

nd.Pd.KTpathfreemean

222

1

2 =

=

PEK 3 cMCh tsp cificM l r


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P2Volume

EK 3=

RT2moleEK3

=

KT

2N

RT

2molecule

EK

o

33==

M

RT

2mass

EK 3=

JPdVLL I +=

PP cMCheatspecificMolar 0=

VV cMCheatspecificMolar 0=

oVP M

Rrcc ==

K.kg

J

K.gram

ergx.

K.kg

kcal

K.gram

cal 42001024 7===


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RadiationMarks 4/6Possible questions 1,2,3,4

2 mark questions


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2 mark questions

1. Define coefficient of absorption and reflectance.

2. Define coefficient of absorption and of transmission.

3. Obtain relation between a, r and e.

4. Define coefficient of transmission. If t = 0 then what type of body it is?give example.

5. Explain construction and working of perfectly black body.

6. What do you mean by black body. State the use of conical projection ofan artificial black body.

7. Define emissive power and emissivity of body.8. Define emissive power and list the factors on which it depends.

9. State Kirchhoff's law of radiation and Stefans law of radiation.

10. State Stefan's law for radiation. Write unit of Stefan's constant.

11. State Wien's law of radiation. Write unit of b

12. State the limitations of Newtons law of cooling.

13. State Prevosts theory of heat exchange.14. Write two observations of energy diagram of black body radiations.

3 marks questions


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3 marks questions

1. Define coefficient of absorption, emission andtransmission and obtain relation betweenthem.

2. What do you mean by perfectly black body?Can it be realized in practice? How will you

construct perfectly black body?3. Give theoretical proof of equality of emissive

and absorptive power.

4. State Stefans law, Newtons law and

Kirchhoffs law.5. Obtain Newtons law using Stefans law.



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1. Draw the curve between energy and

wavelength of radiations by a blackbody at different temperatures. Explainthe observations.

2. State Kirchhoffs law and give itsexperimental explanation.

3. State Prevosts theory of heatexchange and explain it.

4. D

Important formulae for Radiation


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Important formulae for Radiation

incidentheat

absorbedheata =

incidentheat

reflectedheatr =

incidentheat

transmitedheatt =

a + r + t = 1etemperaturgivenat

t.AQE =

e.temperatursameatarebothwhereE

Ee

b

=

4AtT..eQemitted =

4

0AtT..eQabsorbed =

)TT(At..eQ exchangenet4

0

4 =

dt

d.s.m

dt

dQ = )(K

dt

do=

+=

oktt 2

21

12

12


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I just wantto tell you

that !


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You can - - -


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You will

You can


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You will

You can

You did

physics paper i board revision 2009 - 10

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