classnote-50892ce2eea5c

8/22/2019 classnote-50892ce2eea5c

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P H YS I C S

CONTENTSCONTENTSCONTENTSCONTENTSCONTENTS

KEY CONCEPT ..................................................................... Page 2

OBJECTIVE QUESTION BANK ......................................... Page 4

SUBJECTIVE-I ...................................................................... Page 14

SUBJECTIVE-II ..................................................................... Page 17

ANSWER KEY ....................................................................... Page 19

By N.K.C. SIR

GRAGRAGRAGRAGRAVITVITVITVITVITAAAAATIONTIONTIONTIONTION


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ETOOS Academy Ltd. : -6, o no, Inpst Inustil , En of En otos

in Sowoo, BSN Offic n, Jlw o, Kot, jstn

KEY CONCEPT

1. Gravitation:

ittion is t foc of ttction btwn ny two point pticls in t unis It is in by:

= 221

r

mGm

w is unisl ittionl constnt lu of = 667 N

2. Variation of 'g':

i Due to altitude: ccltion u to ity t it bo t sufc of t is in by:

= 2)hR(

GM

+=

R

h21g fo : I

=

b o n intnl point < :i of spicl sll:I

i=

ii of soli sp: Ii=

5. Gravitational potential:

In cs of soli o ollow sp:

o n tnl point > :

=

b o n intnl point < :

i of spicl sll: i= = constnt

ii of soli sp: i = )rR3(R2

GM 223


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6. Escape velocity:

i It is iniu sp wit wic boy ust b pojct wy fo t sufc of t t so tt

it y n tun to t t

ii Escp locity of boy fo t sufc of t is in by : s

= gR2 = )R/GM2(

7. Geostationary satellite:

stllit wic pps to b sttiony fo pson on t sufc of t t is cll osttiony

stllit

b It ols in t qutoil pln fo wst to st wit ti pio of ous

c Its it fo t sufc of t t is nly 6 n ius of t cicul obit is nly

obitl locity of tis stllit is nly sc

lti locity of osttiony stllit wit spct to t is zo

f obit of osttiony stllit is cll s parking orbit

8. Kepler's laws:

i ll plnts o oun t sun in elliptical orbits, wit t sun bin t st t on focus of t obitii position cto fo t sun to t plnt swps out qul in qul ti, i, l locity

of plnt oun t sun lwys ins constnt is is tt t angular momentum or

moment of momentum remain constant

iii squ of t ti pio of plnt oun t sun is popotionl to t cub of t si-jo

is of t llips o n istnc of t fo t sun, i w is t si-jo is oft llips


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OBJECTIVE QUESTION BANKONLY ONE OPTION IS CORRECT

Take approx. 2 minutes for answering each question.

Q t wt ltitu will t ccltion u to ity b % of tt t t ts sufc in ius of

t is ?

B D ns

Q tb t nul locity of t ts ottion bout its is ssu tt t ccltion u toity on t ts sufc s t s lu t t quto n t pols n objct wi t t

quto is t s in s in tn t pt blow ts sufc t pol


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ns

Q spicl unifo plnt is ottin bout its is locity of point on its quto is Du to t

ottion of plnt bout its is t ccltion u to ity t quto is of t pols

scp locity of pticl on t pol of plnt in ts of

= B

=

= 2V D = 3

Q6 wo plnts n B t s til nsity If t ius of is twic tt of B, tn t tio of

t scp locityv

vA

B

is

B 2 21 D 21

Q7 scp locity fo plnt is tunnl is u lon it of t plnt n sll boy is

opp into it t t sufc Wn t boy cs t cnt of t plnt, its sp will b

B2

ve

2

ve

D zo

Q ollow spicl sll is copss to lf its ius ittionl potntil t t cnt

incss

B css

ins s

D uin t copssion incss tn tuns t t pious lu


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ns

Q9 If tunnl is cut t ny ointtion tou t, tn bll ls fo on n will c t ot

n in tinlct t ottion

6 inuts B inuts inuts D pns on ointtion

ns

Q nonottin st collpss onto itslf fo n initil ius iwit its

ss inin uncn Wic cu in fiu bst is t

ittionl ccltion

on t sufc of t st s function of

t ius of t st uin t collps?

B b

c D

ns

Question No. 11 to 12 (2 questions)

wo unifo spicl sts of s til ii n ss of t sll plnt is

y stt oin fo st tows c ot fo l istnc un utul foc of ity

collision btwn t sts is inlstic wit cofficint of stitution

Q Kintic ny of t syst just ft t collision is:

R3

Gm8 2B

R3

Gm2 2

R3

Gm4 2D cnnot b tin

ns

Q iu sption btwn ti cnts ft ti fist collision

B 6 D


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ns

Q stllit ols in t osttiony obit but in iction st to wst ti intl btwn its

succssi pssin bout point on t quto is :

s B s s D n

ns

Q wo point sss of ss m n m spctily spt by distnc olin un utul

foc of ttction tio of ti intic nis will b :

: B : : D :

ns

Q stllit of ss , initilly t st on t t, is lunc into cicul obit t it qul to t

ius of t t iniu ny qui is

4

3 B

2

1

4

1 D

4

3

ns

Q6 fiu sows t ition of ny wit t obit ius of boy in cicul

plnty otion in t coct sttnt bout t cus , B n

sows t intic ny, B t totl ny n t potntil ny of

t syst

B sows t totl ny, B t intic ny n t potntil ny

of t syst

n intic n potntil nis spctily n B is t totl ny of t syst

D n B intic n potntil nis n is t totl ny of t syst


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ns

Q7 stllit of ss obits t t in cicul obit t on point in its obit, t stllit plos into two

pics, on of ss n t ot of ss ft t plosion t ss ns up tllin in t

s cicul obit, but in opposit iction ft plosion t ss is

In cicul obit

B unboun

llipticl obit

D t is insufficint to tin t ntu of t obit

ns

Q stllit cn b in osttiony obit oun t t istnc fo t cnt If t nul

locity of t bout its is oubls, stllit cn now b in osttiony obit oun t if its

istnc fo t cnt is

2

rB

22

r 3/1)4(

rD 3/1)2(

r

ns

Q9 plnt of ss is in n llipticl obit bout t sun


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Question No. 20 to 21 (2 questions)

iu sows t obit of plnt P oun t sun S B n D

t ino n jo s of t llips

Q If t

is t ti tn by t plnt to tl lon B n t

t ti lon BD, tn

t = t B t > t t < t D notin cn b concluns

Q If U is t potntil ny n K intic ny tn |U| > |K| t

Only D B Only

bot D & D nit D no

ns

Q Stllits n B obitin oun t t in obits of tio n spctily tio of ti

l locitis is:

: B : : D : 6

ns

ASSERTION AND REASON

Q Statement-1 :i pio of sipl pnulu in n obitin osttiony stllit is infinit

Statement-2 : Ets ittionl fil bcos nliibl t l istnc fo it Sttnt- is tu, sttnt- is tu n sttnt- is coct plntion fo sttnt-

B Sttnt- is tu, sttnt- is tu n sttnt- is NO t coct plntion fo sttnt-

Sttnt- is tu, sttnt- is fls

D Sttnt- is fls, sttnt- is tu

ns


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Q Statement-1 : osttiony stllits y b stup in qutoil pln in obits of ny ius o

tn ts ius

Statement-2 : osttiony stllits pio of olution of s

Sttnt- is tu, sttnt- is tu n sttnt- is coct plntion fo sttnt-



D Sttnt- is fls, sttnt- is tuns

Q Statement-1 : o t clcultion of ittionl foc btwn ny two unifo spicl slls, ty

cn lwys b plc by pticls of s ss plc t spcti cnts

Statement-2 : ittionl fil of unifo spicl sll out si it is s s tt of pticl of

s ss plc t its cnt of ss





ns

Q Statement-1 : It ts o ful fo spccft to tl fo t t to oon tn fo t tun tip

Statement-2 : Potntil ny of spccft t oons sufc is t tn tt t t sufc





ns

ONE OR MORE THAN ONE OPTION MAY BE CORRECT

Take approx. 3 minutes for answering each question.

Q ssuin t t to b sp of unifo nsity t ccltion u to ity

t point outsi t t is insly popotionl to t squ of its istnc fo tcnt

B t point outsi t t is insly popotionl to its istnc fo t cnt

t point insi is zoD t point insi is popotionl to its istnc fo t cnt


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ns

Q In si ollow isolt spicl sll

yw ittionl potntil is zo B yw ittionl fil is zo

yw ittionl potntil is s D yw ittionl fil is s

ns

Q osttiony stllit is t it bo t sufc of t If t ius is

iniu coltitu on t upto wic t stllit cn b us

fo couniction is sin( )hRR + B iu coltitus on t upto wic t stllit cn b us

fo couniction is sin ( )hRR + on t scp fo tis stllit is in s + sinD on t scp fo tis stllit is in s + cos

ns

Q Wn stllit in cicul obit oun t t nts t tospic ion, it ncounts sll i

sistnc to its otion n

its intic ny incss

B its intic ny css

its nul ontu bout t t css

D its pio of olution oun t t incss


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ns

Q counictions Et stllit

os oun t t fo st to wst B cn b in t qutoil pln only

cn b ticlly bo ny plc on t t D os oun t t fo wst to st

ns

Q6 n t stllit is o fo on stbl cicul obit to not l n stbl cicul obit

followin quntitis incs fo t stllit s sult of tis cn

ittionl potntil ny B nul locity

lin obitl locity D cntiptl ccltion

ns

Q7 stllit S is oin in n llipticl obit oun t t ss of t stllit is y sll

cop to t ss of t t

t ccltion of S is lwys ict tows t cnt of t t

B t nul ontu of S bout t cnt of t t cns in iction, but itsnitu ins constnt

t totl cnicl ny of S is pioiclly wit ti

D t lin ontu of S ins constnt in nitu

ns


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Q o stllit to obit oun t t, wic of t followin ust b tu?

It ust b bo t quto t so ti

B It cnnot pss o t pols t ny ti

Its it bo t sufc cnnot c 6,

D Its pio of ottion ust b > g/R2 w is ius of t

ns

Q9 wo stllits s

& s

of qul sss ol in t s sns oun y plnt in copln

cicul obit of ii &

t tio of pio of olution s

& s

is :

B ti locitis in t tio :

ti nul ontu bout t plnt in t tio :

D t tio of nul locitis of s

wt s

wn ll t in t s lin is 9 :

ns

Q Slct t coct coics:

ittionl fil insi spicl city, witin spicl plnt ust b non zo n unifo

B Wn boy is pojct oizontlly t n ppcibl l it bo t t, wit locity

lss tn fo cicul obit, it will fll to t t lon pbolic pt

boy of zo totl cnicl ny plc in ittionl fil if it is tllin wy fo

souc of fil will scp t fil

D Ets stllit ust b in qutoil pln

ns


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SUBJECTIVE - I

Q sll ss n tin unifo o c of ss

position

lon t s stit lin s sown in t foc of ittionl

ttction t by t o on t sll ss

ns

Q pticl is fi ticlly fo t sufc of t t wit locity , w

is t scp

locity n < Nlctin i sistnc n ssuin ts ius s lcult t it to

wic it will is fo t sufc of t t

ns

Q point P lis on t is of fi in of ss n ius , t istnc fo its cnt sll

pticl stts fo P n cs un ittionl ttction only Its sp t will b _______

ns

Q lcult t istnc fo t sufc of t t t wic bo n blow t sufc ccltion

u to ity is t s

ns

Q n objct is pojct ticlly upw fo t sufc of t t of ss wit locity suc

tt t iu it c is it tis t ius of t t lcult:

i t initil sp of pojction ii t sp t lf t iu it

ns

Q6 ou sss c of plc t t tics of ul pyi

tinul bs of si in t wo on by t syst wil

tin t pt so tt ty fo t pyi of si


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ns

Q7 tin spicl sll of totl ss n ius is l fi is sll ol in t sll ss is ls fo st istnc fo t ol lon lin tt psss tou t ol n lso

tou t cnt of t sll is ss subsquntly os un t ittionl foc of t sll

How lon os t ss t to tl fo t ol to t point iticlly opposit

ns

Q stllit clos to t t is in obit bo t quto wit pio of ottion of ous If it is

bo point P on t quto t so ti, it will b bo P in ft ti________

ns

Q9 stllit is oin in cicul obit oun t t totl ny of t stllit is

E = J ount of ny to b ipt to t stllit to tnsf it to cicul obit w

its potntil ny is U= J is qul to ________

ns

Q stllit of ss is obitin t t in cicul obit of ius It stts losin ny u to sll

i sistnc t t t of J s n t ti tn fo t stllit to c t t is _______

ns


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Q ot snsin stllit is olin in n obit of ius o t quto of t in t on

t sufc in wic stllit cn not sn ss

ns

Q pi of sts otts bout coon cnt of ss On of t sts s ss wic is twic s

l s t ss of t ot i cnts istnc pt, bin l cop to t siz

of it st Di n pssion fo t pio of ottion of t sts bout ti coon cnt

of ss in ts of ,, b op t nul ontu of t two sts bout ti coon

cnt of ss by clcultin t tio c op t intic nis of t two sts byclcultin t tio K

K

ns

Q fstst possibl t of ottion of plnt suc tt fo wic t ittionl foc on til t

t quto bly pois t cntiptl foc n fo t ottion Sow tn tt t cosponin

sotst pio of ottion is in by =

G

3, w is t nsity of t plnt, ssu to b

oonous

ns


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SUBJECTIVE - II

Q sp of ius s its cnt t t oiin It s unifo ss nsity

cpt tt t is spicl ol of ius = wos cnt is t

= s in fi in ittionl fil t points on t is fo >

ii Sow tt t ittionl fil insi t ol is unifo, fin its nitu

n ictionns

Q sll boy of ss is pojct wit locity just sufficint to it c fo t sufc of

plnt of ius n ss to t sufc of not plnt of ius n ss

istnc btwn t cnts of t two spicl plnts is 6 t istnc of t boy fo t cntof bi plnt is t ny ont Duin t jouny, fin t istnc w t sp of t boy

is iu b iniu ssu otion of boy lon t lin joinin cnts of plnts

ns

Q n cn jup o b= wi tnc on t If n nsity of n iiny plnt is twic tt

of t t, clcult its iu possibl ius so tt y scp fo it by jupin in

ius of t = 6

ns

Q stllit P is olin oun t t t it = ius of t

bo quto not stllit Q is t it olin in opposit

iction t n instnt t two t s ticl lin pssin tou cnt

of sp in t lst ti ft wic in ty in tis sitution

ns


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Q wo sll ns sts ott bout ti coon cnt of ss s biny syst wit t pio

y fo c On st is of oubl t ss of t ot n t ss of t lit on is of t

ss of t sun in t istnc btwn t sts if istnc btwn t t & t sun is

ns

Q6 stllit is obitin t Et of ss in qutoil pln in cicul obit in ius n s

sns of ottion s tt of t Et in ution of ti fo wic n stnin on t quto will

b bl to s t stllit continuously ssu tt t n cn s t stllit wn it is bo

oizon Ets nul locity = ns

Q7 boy is lunc fo t ts sufc n nl=o to t oizontl t sp =

R

GM5.1

Nlctin i sistnc n ts ottion, fin t it to wic t boy will is b t ius

of cutu of tjctoy t its top point

ns

Q boy oin illy wy fo plnt of ss , wn t istnc fo plnt, plos in suc

wy tt two of its ny fnts o in utully ppnicul cicul obits oun t plnt

Wt will b

tn locity in cicul obits

b iu istnc btwn t two fnts bfo collision n

c nitu of ti lti locity just bfo ty colli

Q9 co of lnt 6 is us to connct stonut to spcsip wos ss is uc l

tn tt of t stonut Estit t lu of t tnsion in t co ssu tt t spcsip is

obitin n t sufc ssu tt t spcsip n t stonut fll on stit lin fo t

t cnt ius of t t is 6

ns


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[19]


in Sowoo BSN Offic n Jlw o Kot jstn

ANSWER KEYOBJECTIVE QUESTION BANK

ONLY ONE OPTION IS CORRECT

Q B Q Q B Q D Q

Q6 Q7 B Q B Q9 B Q B

Q B Q Q Q Q DQ6 D Q7 B Q Q9 Q B

Q Q

ASSERTION AND REASON

Q B Q D Q D Q

ONE OR MORE THAN ONE OPTION MAY BE CORRECT

Q ,D Q B,,D Q , Q ,

Q B,D Q6 Q7 Q ,D

Q9 ,B,D Q

SUBJECTIVE - I

QG m

L

2

23Q 2

2e

k1

kR

Q

2

11

a

GM2

Q = R2

15 Q i

R

Gm

3

4, ii

R5

Gm2

3

2Q6

a

Gm3 2

Q7 GM/R2 3

Q 6 ous if it is ottin fo wst to st, 7 ous if it is ottin fo st to wst

Q9 J Q t =

r1

R1

C2GMm

e

Q 222

R4x

Rx1

Q

Gm3

d2T

2/3= , b , c Q =

G

3

SUBJECTIVE - II

Qr

g =( )

+

22

30

x

8

)2R(x

1

6

RGi , g

r

= i3

RG20

Q , [ 3 ]

Q km4.6 Q)3322(GM

)66(R2 2/3

+

Q

Q6

e3R8

GM3

2Q7 =

+1

2

7, b

Q r

GM; b 2r ; c

r

GM2Q9 = N

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