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9. Assignments (Subjective Problems)

LEVEL – I

1. Two blocks A and B of masses M1 and M2

respectively kept in contact with each other on a

smooth horizontal surface. A constant horizontal

force (! is applied on "A# as shown in fi$ure. ind

the acceleration of each block and the contact

force between the blocks

M1M2

B

A

2. A bob of mass m % &' $m is suspended from the

ceilin$ of a trolley by a li$ht inetensible strin$. )f the

trolley accelerates horizontally* the strin$ makes an

an$le θ % +'o with the vertical. ind the acceleration of

the trolley.

θ

m

a

+. Two small bodies connected by a li$ht

inetensible strin$ passin$ over a smooth

pulley are in e,uilibrium on a fied smooth

wed$e as shown in the fi$ure. ind the ratio of

the masses. -iven that θ % '' and α % +''.

m1 m2

θ α

/. Both the sprin$s shown in i$ure are

unstretched. )f the block is displaced by adistance and released* what will be the

initial acceleration0

m

kk

&. A block of mass m % 1 k$ is at rest on a rou$h horizontal

surface havin$ coefficient of static friction '.2 and kinetic

force '.1&. ind the frictional forces if a horizontal force (a!

% 1 * (b! % 1. and (c! % 2.& are applied on a

block which is at rest on the surface.

m

. Two masses m1 % & k$* m2 % 2 k$ placed on a smooth horizontal surface are

connected by a li$ht inetensible strin$. A horizontal force % 1 is applied on

m1. ind the acceleration of either block. 3escribe the motion of m 1 and m2 if the

strin$ breaks but continues to act.

4. The coefficient of static friction between a block of mass m and an incline is µs %

'.+. (a! 5hat can be the maimum an$le θ of the incline with the horizontal so

that the block does not slip on the plane0 (b! )f the incline makes an an$le θ62

with the horizontal* find the frictional force on the block.

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7. A 2' k$ bo is dra$$ed across a rou$h level floor havin$ a coefficient of kinetic

friction of '.+ by a rope which is pulled upward at an$le of +'8 to the horizontal

with a force of ma$nitude 7' .

(a! 5hat is the normal force0

(b! 5hat is the frictional force0

(c! 5hat is the acceleration of the bo0(d! )f the force is reduced until the acceleration becomes zero* what is the tension

in the rope0

. A small body A starts slidin$ down from thetop of a wed$e (fi$.! whose base is e,ual to

% 2.1' m. The coefficient of friction between

the body and the wed$e surface is k % '.1/'.

or what value of the anl$e α will the time of

slidin$ be the least0 5hat will it be e,ual to0

A

α

1'. A chain of len$th is placed on a smooth spherical surface of radius 9 with one

of its ends fied at the top of the sphere. 5hat will be the acceleration a of each

element of the chain when its upper end is released0 )t is assumed that the

len$th of the chain : (π962!.


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LEVEL – II

1. A smooth wed$e with elevation θ is fied in an elevator movin$ up with uniform

acceleration a' % $62. The base of the wed$e has a len$th ;. ind the time taken

by a particle slidin$ down the incline to reach the base.

2. A body of mass 2 k$ is lyin$ on a rou$h inclined plane of inclination +'8. ind the

ma$nitude of the force parallel to the incline needed to make the block move (a!

up the incline (b! down the incline. <oefficient of static friction % '.2.

+. A sprin$ has its end fied to the ceilin$ of the elevator ri$idly. )t has sprin$

constant % 2''' 6m. A man of mass &' k$ climbs alon$ the other end of the

sprin$ vertically up with an acceleration of 2 m6s2 relative to the elevtater. The

elevater is $oin$ up with retardation + m6s2. ind etension in the sprin$.

/. A bar of mass m restin$ on a smooth horizontal plane starts movin$ due to theforce % m$6+ of constant ma$nitude. )n the process of its rectilinear motion the

an$le α between the direction of this force and the horizontal varies as α % as*

where a is a constant* and s is the distance traversed by the bar from its initial

position. ind the velocity of the bar as a function of the an$le α.

&. Two blocks in contact of masses 2 k$ and / k$ in succession from down to up

are slidin$ down an inclined surface of inclination +'8. The friction coefficient

between the block of mass 2.' k$ and the inclines is µ1* and that between the

block of mass /.' k$ and the incline is µ2. <alculate the acceleration of the 2.' k$

block if (a! µ1 % '.2' and µ2 % '.+'* (b! µ1 % '.+' and µ2 % '.2'. Take $ % 1' m6s2.

. A balloon is descendin$ with a constant acceleration a* less than the accelerationdue to $ravity $. The wei$ht of the balloon* with its basket and contents* is w.5hat wei$ht* w* should be released so that the balloon will be$in to accelerateupward with constant acceleration a0 e$lect air resistance.

4. )n the fi$ure shown co=efficient of friction

between the block B and < is './. There is no

friction between the block < and the surface

on which it is placed. The block A is released

from rest* find the distance moved by the block

<

B

A

< when block A descends throu$h a hei$ht 2m. -iven masses of the blocks arem A % + k$* mB % & k$ and m< % 1' k$.

7. Two masses m1 and m2 are connected by

means of a li$ht strin$* that passes over a li$ht

pulley as shown in the fi$ure. )f m1 % 2k$ and

m2 % & k$ and a vertical force is applied on

the pulley then find the acceleration of the

masses and that of the pulley whenm1

m2


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(a! % +& (b! % 4' (c! % 1/'

. )n the $iven fi$ure the co=efficient of friction between the

walls of block of mass m and the plank of mass M is µ. The

same co=efficient of friction is there between the plank and

the horizontal floor. The force is of 1'' and the masses

m and M are of 1 k$ and + k$ respectively. ind the value of µ* if the block does not slip alon$ the wall of the plank.

M

µ

m

µ

1'. )n fi$ure* a bar of mass m is placed on the smooth

surface of a wed$e of mass M. The bar is connected to

an inetensible strin$ passin$ over a li$ht smooth

pulley fitted with the wed$e. The strin$ is connected to

the vertical wall. The an$le of inclination of the slant

surface of the wed$e is α. )f all contactin$ surfaces are

smooth* find the acceleration of the wed$e.

m

M

α


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!'. Assignments ("bjective Problems)

LEVEL – I

1. 5hen a body is stationary>(A! There is no force actin$ on it

(B! The forces actin$ on it are not in a contact with it

(<! The combination of forces actin$ on it balance each other

(3! The body is in vacuum

2. A toy train consists of three identical compartments ?* @ and . )t is pulled by a

constant horizontal force applied on horizontally. Assumin$ there is ne$li$ible

friction* the ratio of tension in strin$ connectin$ ?@ and @ is>

(A! 2>1 (B! +>2

(<! 1>2 (3! 2>+

+. Two blocks of masses 2 k$ and 1 k$ are in contact with each other on a

frictionless table* when a horizontal force of +.' is applied to the block of mass

2 k$ the value of the force of contact between the two blocks is>

(A! / (B! +

(<! 2 (3! 1

/. A block of metal wei$hin$ 2 $ is restin$ on a frictionless plane. )t is struck by a

Cet releasin$ water at a rate of 1 $6sec and at a speed of &m6sec. The initial

acceleration of the block will be>

(A! 2.& m6sec2

(B! &.' m6sec2

(<! 1' m6sec2 (3! none of above

&. 5hen a force of constant ma$nitude always act perpendicular to the motion of a

particle then>

(A! Delocity is constant (B! Acceleration is constant

(<! E is constant (3! one of these

. Two masses M1 and M2 are attached to the ends of strin$ which passes over the

pulley attached to the top of a double inclined plane. The an$les of inclination of

the inclined planes are α and β. Take $ % 1' ms=2. )f M1 % M2 and α % β* what is

the acceleration of the system0

(A! zero (B! 2.& ms=2

(<! & ms=2 (3! 1' ms=2

4. Ftartin$ from rest* a body slides down a /&8 inclined plane in twice the time it

takes to slide down the same distance in the absence of friction. The coefficient

of friction between the body and the inclined plane is>

(A! '.++ (B! '.2&

(<! '.4& (3! '.7'


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7. A trolley car slides down a smooth inclined plane of an$le of inclination θ. )f a

body is suspended from the roof of the trolley car by an inetensible strin$ of

len$th l* the correspondin$ tension in the strin$ will be

(A! m$ (B! m$ cosθ

(<! m$ sinθ (3! one of these

. A block of mass m is held at the top of an inclined rou$h plane of an$le of

inclination θ. The coefficients of static and kinetic friction are µ1 and µ2

respectively. )f the block is pushed down at the ver$e of slippin$* assumin$ θ :

tan=1 µ1* )ts acceleration down the plane is >

(A! $GFin θ = µ1 <os θH (B! $GFin θ = µ2 <os θH

(<! $( Fin θ = µ1 <os θH (3! $

1'. A satellite in force=free space sweeps stationary interplanetary dust at a rate

(dM6dt! % αv. The acceleration of satellite is>(A! =2v26M (B! =αv26M

(<! =αv262M (3! =αv2

11. Three blocks are connected on a horizontal frictionless table by two li$ht strin$s*

one between m1 and m2* another between m2 and m+ . The tensions are T1

between m1 and m2 and T2 between m2 and m+. if m1 % 1 k$* m2 % 7 k$* m+ % 24

k$ and % + applied on m+* then T2 will be

(A! 17 (B!

(<! +.+4& (3! 1.4&

12. A force=time $raph for the motion of a body is

shown in fi$ure. <han$e in linear momentum

between ' and 7 s is>

(A! ero (B! / =s

(<! 7 s (3! one

1+. A block of mass M is pulled alon$ a horizontal frictionless surface by a rope of

mass m. )f a force is applied at one end of the rope* the force which the rope

eerts on the block is>

(A! 6(MIm! (B!

(<! M6(mIM! (3! '

1/. A chain of len$th L and mass M is han$in$ by fiin$ its upper end to a ri$id

support. The tension in the chain at a distance x from the ri$id support is>

(A! ero (B!

(<!;

!;(M$

−(3!

M

!;(M$

−

1&. Two masses m and m′ are tied with a thread passin$ over a pulley* m′ is on a


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frictionless horizontal surface and m is han$in$ freely. )f acceleration due to

$ravity is $* the acceleration of m′ in this arran$ement will be

(A! $ (B! $6(mI m′!

(<! $6m′ (3! $6(m= m′!

1. A block of mass '.1 k$ is held a$ainst a wall by applyin$ a horizontal force of &

on the block. )f the coefficient of friction the block and the wall is '.&* the

ma$nitude of the frictional force actin$ on the block is>

(A! 2.& (B! '.7

(<! /. (3! './

14. A block A of mass 2 k$ rests on another block B of mass 7 k$ which rests on a

horizontal floor. The coefficient of friction between A and B is '.2 while that

between B and floor is '.&. 5hen a horizontal force of 2& is applied on the

block B. The force of friction between A and B is>

(A! ero (B! +. (<! &.' (3! /

17. A ball wei$hin$ 1' $m hits a hard vertical surface with a speed of &m6s and

rebounds with the same speed. The ball remains in contact with the surface for

('.'1! sec. The avera$e force eerted by the surface on the ball is>

(A! 1'' (B! 1'

(<! 1 (3! '.1

1. Two masses A and B each of mass M are

fied to$ether by a massless sprin$. A

force F acts on the mass B as shown in fi$ure. At the instant shown the mass Ahas acceleration a. 5hat is the acceleration of mass B0

(A! (6M!=a (B! a

(<! =a (3! (6M!

2'. An obCect is placed on the surface of a smooth inclined plane of inclination θ. )t

takes time t to reach the bottom. )f the same obCective is allowed to slide down a

rou$h inclined plane of same inclination θ* it takes nt to reach the bottom where n

is a number $reater than 1. The coefficient of friction µ is $iven by

(A! µ % tan (1−16n2! (B! µ % cot (1−16n2!

(<! µ % tan (1−16n2

!162

(3! µ % cot (1−16n2

!162


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LEVEL – II

1. )n the fi$ure small block is kept on m then

(A! the acceleration of m w.r.t. $round isF

m

(B! the acceleration of m w.r.t. $round is zero A B

F

µ = 0 µ = 0m

M

(<! the time taken by m to separate from M is2 m

F

l

(3! the time taken by m to separate from M is2 M

F

l

2. )n the fi$ure* a man of true mass M is standin$ on a wei$hin$machine placed in a cabin. The cabin is Coined by a strin$ with abody of mass m. Assumin$ no friction* and ne$li$ible mass of cabinand wei$hin$ machine* the measured mass of man is (normal force

between the man and the machine is proportional to the mass!

m

(A! measured mass of man isMm

(M m!+(B! acceleration of man is

m$

(M m!+

(<! acceleration of man isM$

(M m!+(3! measured mass of man is M.

+. The fi$ure shows a block of mass m placed on a smooth

wed$e of mass M . <alculate the value of M′ and tension in

the strin$* so that the block of mass m will move vertically

downward with acceleration 1' m6s2

(Take $ % 1' m6s2!

(A! the value of M′ isMcot

1 cot

θ

− θ

θΜ

m

Μ ′

S m o o t h

(B! the value of M′ Mtan

1 tan

θ

− θ

(<! the value of tension in the strin$ isM$

tan θ

(3! the value of tension isg

cot

µ

θ

/. Two blocks of masses m1 and m2 are connectedthrou$h a massless inetensible strin$. Block of

mass m1 is placed at the fied ri$id inclined surface

while the block of mass m2 han$in$ at the other end

of the strin$* which is passin$ throu$h a fied

massless frictionless pulley shown in fi$ure. The

coefficient of static friction between the block and the

inclined plane is '.7. The system of masses m1 and

m2 is released from rest.

m = 4 k g1

m = 2 k g2

3 0 º F i x e d

g = 1 0 m / s 2

µ = 0 . 8


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(A! the tension in the strin$ is 2' after releasin$ the system

(B! the contact force by the inclined surface on the block is alon$ normal to the inclined

surface

(<! the ma$nitude of contact force by the inclined surface on the block m1 is 20 3N

(3! none of these

&. A force is applied vertically upward to the pulley and itis observed that the pulley in the fi$ure moves upwardwith a uniform velocity of 2 m6s. The possible value(s!of is6are (in newtons!(A! 1&' (B! 12'(<! 4& (3! /''.

F

l i g h t p l l e !

g = 1 0 m / s 2

1 0 k g

" # o $ d

% k g

. The coefficient of friction of all the surfaces is µ.

The strin$ and the pulley are li$ht. The blocksare movin$ with constant speed. <hoose thecorrect statement

2 m

3 mB

& 1

F

A

& 1

& 1

& 1

(A! % µ m$ (B! T1 % 2µ m$

(<! T1% +µ m$ (3! T1 % /µ m$

4. Two masses of 1' k$ and 2' k$ are connectedby a li$ht sprin$ as shown. A force of 2'' actson a 2' k$ mass as shown. At a certain instant

the acceleration of 1' k$ mass is 12 ms=2.

2 0 k g1 0 k g F

F = 2 0 0 N

(a! At that instatnt the 2' k$ mass has an acceleration of 2 ms=2

(b! At that instant the 2' k$ mass has an acceleration of /ms=2

(c! The stretchin$ force in the sprin$ is 12' (d! Fprin$ force have different ma$nitudes for both blocks.

7. A particle stays at rest as seen in a frame. 5e can conclude that

(a! the frame is inertial

(b! resultant force on the particle is zero

(c! the frame may be inertial but the resultant force on the particle is zero

(d! the frame may be non=inertial but there is a nonzero resultant force

. A particle is observed from two frames F1 and F2. The frame F2 moves with respect to F1

with an acceleration α. ;et 1 and 2 be the pseudo forces on the particle when seen

from F1 and F2 respectively. 5hich of the followin$ are not possible0

(a! 1 % '* 2 ≠ ' (b! 1 ≠ '* 2 % '


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(c! 1 ≠ '* 2 ≠ ' (d! 1 % '* 2 % '

1'. A block of mass m slides down on a wed$e of mass M

as shown in fi$ure. ;et 1a be the acceleration of thewed$e and

2a the acceleration of block. 1 is the

normal relation between block and wed$e and 2 the

normal reaction between wed$e and $round. riction isabsent everywhere. Felect the correct alternative (s!

mM

θ

(a! 2 : (M I m! $ (b! 1 % m ($ cos , = J 1a J sin ,!

(c! 1 sin , % M J 1a J (d! 2 1ma Ma= −

+"MPRE#E,SI",S

+om-reension I/ A car en$ine is so constructed as to eert a tor,ue onto the wheels causin$ them torotate* and the wheels move forward on the road due to static friction. The force of staticfriction* actin$ between the wheels and the road* is responsible for the forwardacceleration of the car. The force of static friction has an upper limit* known as thelimitin$ force of static friction K proportional to the normal reaction between the wheelsand the roadL this limits the maimum forward acceleration of the car.

)n recent years* there has been a tendency to desi$n li$hter and more fuel efficient cars*

which drive faster than conventional cars. At very hi$h speeds* it is observed that

conventional cars lose out on manoevrability* as friction is no lon$er sufficient. This iscaused by airflow around the body of the car* which produces pressure differentials that

increase the tendency of the car to $et airborne. Modern desi$ners have tried to

manipulate this airflow so as to reduce lift* decrease dra$* and in some cases K even

cause a downward force resultin$ in better traction.

1. A motorist* drivin$ a car on a level road* desires to take a ti$ht circular turn of radius r at

a constant speed v. The coefficient of static friction between the wheels of the car is µF

and that of kinetic friction is µ. e will be able to take this turn without skiddin$ if

(choose the most appropriate option!

(A! ' 2

g#

(µ ≥ (B! S 2

g#

(µ ≥

(<! S ' 2

g# )

(µ µ ≥ (3!

2

S

(

#gµ ≥

2. The car drives onto a brid$e* which is conve upward* maintainin$ a constant speed v.The driver* when he is on the brid$e*

(A! can take a ti$hter turn* than when he is on a level road.

(B! cannot take a ti$hter turn* than when he is on a level road.

(<! can take a turn of the same radius as he could on a level road.


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(3! can take ti$hter turns when he is $ettin$ upon the brid$e* and looser turns when he

is $ettin$ off the brid$e.

Assume that the driver always takes a full circular turn without skiddin$.

+. The car is driven at a very hi$h constant speed v* on a strai$ht level road. This causes a

lift ; to act on the car due to airflow. The force of friction (f! actin$ between the drivin$wheels and the road (choose the most appropriate option!

(A! is zero* since the car is movin$ with constant velocity.

(B! Fatisfies f % µF m$* where m is the mass of the car.

(<! Fatisfies f % µF (m$ K ;!* assumin$ that the wheels do not lose contact with the road.

(3! Fatisfies f % 3* where 3 is the resultant backward force on the car due to air dra$

and other contact forces.

+om-reension II /

)f a man is measurin$ his actual wei$ht by

wei$hin$ machine as shown in the fi$ure.

The mass of man is ' k$* mass of

wei$hin$ machine is 2' k$ and mass of liftis +' k$ (pulley is smooth and strin$ is

massless!.

(Take $ % 1' ms K2!

/. The tension eerted by the man on the strin$

(A! '' (B! 17'' (<! 111' (3! 7''

&. Acceleration of the lift is(A! +' ms K2 (B! 17.& ms K2

(<! 11' ms K2 (3! 1+.+ ms K2

. ormal reaction eerted by man on wei$hin$ machine

(A! '' (B! '' (<! 7'' (3! 111'

MA0+# 0#E 1"LL"2I,3

1. *$ + #ogh s#,+ce

Column A Column B

(A! Bod! is st+tio$+#! it is possi-le th+t .p/ F#ictio$+l ,o#ce +cti$g o$ it is e#o

(B! Bod! is 1st +-ot to mo(e ./ F#ictio$+l ,o#ce +cti$g o$ it is st+tic

(<! Bod! is mo(i$g ith $i,o#m

+ccele#+tio$ the$ it is possi-le th+t

.#/ F#ictio$+l ,o#ce +cti$g o$ it is limiti$g

,#ictio$+l ,o#ce

(3! Bod! is mo(i$g ith $i,o#m

(elocit!

.s/ F#ictio$+l ,o#ce +cti$g o$ it is ki$etic


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2. Fystem of blocks are placed on a smooth

horizontal system* as shown. or a particular

value of * + k$ block is Cust about to leave

$round. (tan +4N %3

4!

S t # i $ g 1S t # i $ g 2

k g3 k g 1 k g F3 5 º

Column I

+olumn II

(A! Tension in strin$ 1 (p! 7'

(B! Tension in strin$ 2 (,! /

(<! et force by $round on & k$ block (r! &'

(3! et force on + k$ block (s! 2/

3. )n the above arran$ement all pulleys are li$ht

and frictionless* threads are ideal* µ % '.& at all

surfaces. 3 5 º

µ = 0 .

4 k g

k g

2 . k g

A

B

6

µ = 0 .

Column I Column II

(A! et force on block A (p! '

(B! et force on block B (,! &

(<! et force on block < (r! 1'

(3! Tension in strin$ (s! 2'


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!!. #ints to Subjective Assignments

LEVELI

1. 3raw the .B.3. and find the forces actin$ on A O B. Dertical forces will balance

each other and apply ewtonPs second law in horizontal

2. 3raw the .B.3. and resolve the forces in vertical and horizontal direction* write

down e,s. and find a.

+. 3raw the .B.3. and resolve all forces alon$ and perpendicular to plane* apply

ewtonPs second law.

/. %ma

a%2k6m 2k(

&. =m$%ma %contact force on the bo.

.21

mm

a

+=

4. <alculate the an$le of repose.

7. a % $(sin θ = µ cos θ!

. a1 % /a2 where a1 is acceleration of m and a2 is acceleration of M.

1'. <onstant velocity means a % '

TK m$% '


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LEVELII

1. Qseudo force (ma'! and wei$ht m$ act vertically downward. 9esolve alon$ the

incline.

2. Take a small element of chain at an an$ular position θ

+. a % m2$6(m1Im2!

/. 5rite constraints e,uations and solve.

&. arelative % a1 = a2* where a1 and a2 be the retardation of m and M respectively.

. ind acceleration of mass relative to earth. Then apply ewton#s second law.

4. irst consider relative motion between the blocks. ind common acceleration

and sec whether e % Mc .a ≤ f lim

7. 3raw the .B.3. of pulley block system .ind the maimum tension correspondin$

to the force and check whether motion is possible or not.

)f possible then apply e,uations of motion and constraint relation for the

accelerations of masses and pulley.

. m$ ≤ µma

$ ≤ µ.mM

!mM($

+

+µ−

(M I m! $ ≤ µ = µ2 $ (M I m!

1'. 5rite the acceleration as vds

dvand inte$rate.


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!%. Ans4ers to Subjective Assignments

LEVEL – I

1. a %21

2

21MM

M*

MM

+=

+2. &.4 m6s2

+.+

1

m

m

2

1 = /.m

k2

&. (a! 1 (b! 1. (c! 1.&

.2

21

s6m4

1

mm

=

+* m2 will move with constant velocity and m will accelerate

with 16& m6s2

4. (a! tan=1 µs % tan=1 '.+ % 1.4' (b! '.1/& m$

7. (a! 1' * (b! /7 (c! 1.' m6s2 (d! &&./2

. tan 2α % =k

1* α % /' * tmin% 1.' s

1'. (9$6l! 6 R1= cos(l69! S

LEVEL – II

1.$++

;1.2. (a! 1+./ (b! '

+. '.22& m /. v % αsin!a+6$2(

&. +.4 m6s2* 2.4 m6s2 .a$

wa2

+

4. 2m.

7. (a! a1 % a 2 % ' % ap (b! a1 %

2

1&m6s2* a2 % ' * ap %

/

1& m6s2

(c! a1 % 2& m6s2* a2 % / m6s2* ap %2

2m6s2

. µ % '.& 1'.)α−+

α

cos1(m2M

sinm$


RSM79P!L"MP#&

8/18/2019 Lom-Ass



RSM79P!L"MP#&

8/18/2019 Lom-Ass


!$. Ans4ers to "bjective Assignments

LEVEL – I

1. (+) 2. (+)

+. (5) /. (A)

&. (+) . (A)

4. (+) 7. (6)

. (6) 1'. (6)

11. (6) !2. (6)

1+. (+) 1/. (+)

1&. (6) !. (6)

14. (6) 17. (6) 1. (A) 2'. (A)

LEVEL – II

1. (6) (5) 2. (A) (+)

+. (A) (5) /. (A) (6) (+)

&. (A) (6) . (A) (6)

4. (6) (+) 7. (+) (5)

. (5) 1'. (A) (6) (+)

+"MPRE#E,SI",

1'. (5) 11. (6)

12. (5) 1+. (A)

1/. (+) 1&. (A)

MA0+# 0#E 1"LL"2I,3

!. (A! K (p!* (,!* (r!L (B! K (,!* (r!L (<! K (s!L (3!K (s!

%. (A! K (,!L (B! K (r!L (<! K (p!L (3! K (s!

$. (A! K (s!L (B! K (p!L (<! K (,!L (3! K (r!

RSM79P!L"MP#&7

lom-ass

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