jsyos

PHYSICS

(HkkSfrd foKku)

Theory + 1300 + Objective Questions with Numericals

By Khan Sir, Patna

;g iqLrd D;ksa \

Ø jsyos xzqi ^Mh*] NTPC, JE, ALP ,oa jsyos dh fofHkUu ijh{kkvksa esa Physics fo"k; ls lacaf/r iz'u vPNh la[;k esa iwNs tkrs gSa ,oa iz'uksa dh izÑfr vU; izfr;ksxh ijh{kkvksa ds Comparison esa fHkUu gksrh gSA Ø fcgkj nkjksxk] fcgkj flikgh] fcgkj SSC, PCS ,oa vU; ijh{kkvksa esa Hkh budk egRoiw.kZ LFkku gSA jsyos ds uohure iSVuZ ij vk/kfjr iqLrd dk cktkj esa vHkko fn[krk gSA Lrjh; LVMh eSVsfj;y ,oa iSVuZ ij vk/kfjr 1300 ls Hkh vf/d Lrjh; iz'uksa dk ladyu 'kk;n gh fdlh vU; iqLrd esa feysxkA

bl iqLrd esa D;k [kkl gS \

Ø iqLrd dks 10 vè;k; esa foHkkftr fd;k x;k  gSA

Ø jsyos ijh{kk esa iwNs x, iz'uksa dk fo'ys"k.k ds mijkar] ijh{kksi;ksxh ,oa flyscl ij vk/kfjr vè;;u lkexzh dks ladfyr fd;k x;k gSA Ø izR;sd vè;k; esa vH;kl iz'uksa ,oa Numericals dk O;k[;klfgr ladyu fd;k x;k gSA Ø izR;sd vè;k; esa ijh{kk lacaf/r egRoiw.kZ rF;ksa dks ladyu fd;k x;k gS tks vH;fFkZ;ksa dks Concept le>us ,oa ;kn j[kus esa ennxkj lkfcr gksxhA Ø izR;sd vè;k; esa Superfast Approach ,oa Confuse uk gks ds }kjk Concept dks le>kus dk iz;kl fd;k x;k  gSA Ø 1300 ls Hkh vf/d egRoiw.kZ ijh{kksi;ksxh iz'uksa dk ladyu Numericals lfgrA vvv

v.kqØef.kdk vè;k;

fo"k;

i`"B la[;k

1.

ek=kd rFkk xfr (UNIT AND MOTION) ¹ek=kd] foek,¡ ys[kkfp=k] lfn'k vkSj vfn'k jkf'k;k¡] fojke vkSj xfr] r; dh xbZ nwjh vkSj foLFkkiu] pky vkSj osx] Roj.k vkSj foeanu] xfr ds lehdj.k] ljyjs[kh; osx rFkk dks.kh; osx esa laca/] xq#Ro ds v/hu oLrq dh xfr] le:i o`Ùkh; xfr] U;wVu ds xfr ds fu;e] laosx] vkosx] cyksa dh HkkSfrd Lora=krk fdlh oLrq ds Hkkj esa ifjorZu] ?k"kZ.k] cy vk?kw.kZ] lekUrj cy] cy&;qXe] larqyu dh voLFkk] lk/kj.k rqyk] nwjh vkSj foLFkkiu esa varj] ek=kk vkSj Hkkj esa varj] izeq[k lw=k ,oa ek=kdº

7

vH;kl iz'u

32

dk;Z mQtkZ vkSj 'kfDr (WORK, ENERGY AND POWER) ¹dk;Z] mQtkZ] 'kfDr] iyk;u osx] izeq[k lw=k ,oa ek=kdº

51

vH;kl iz'u

58

xq#Rokd"kZ.k (GRAVITATION) ¹U;wVu dh xq#Rokd"kZ.k fu;e] xq#Roh;&Roj.k] Hkkjghurk] fyÝV esa O;fDr dk Hkkj] fdlh oLrq dk panzek ij Hkkj] mixzg] tM+Roh; nzO;eku ,oa xq#Rokd"kZ.k nzO;eku eas varj] izeq[k lw=k ,oa ek=kdº

69

vH;kl iz'u

75

2.

3.

4.

inkFkks± ds lkekU; xq.k

(GENERAL PROPERTIES OF MATTER)

85

¹nzO; ;k inkFkZ] nkc] ?kuRo] mRIykodrk] Iyou] vkfdZehMht dk fl¼kar] i`"Bruko] dsf'kdRo] ';kurk] izR;kLFkrk] ize[q k lw=k ,oa ek=kdº

5.

6.

vH;kl iz'u

98

ljy yksyd rFkk izR;ku;u cy (SIMPLE PENDULUM AND RESTORING FORCE) ¹ljy yksyd] ljy vkorZ xfr] rjax xfr] izeq[k lw=k ,oa ek=kdº

109

vH;kl iz'u

116

rjax&xfr vkSj èofu (WAVE MOTION AND SOUND) ¹rjax&xfr] èofu fo|qr pqEcdh; rjaxksa dk foLrkj] iz.kksfnr dEiu] izxkeh rjax /kjk vkSj vizxkeh rjaxsa] iz?kkrh rjaxsa] ijkcSaxuh rjax vkSj bldk lalwpu] vojDr jax rFkk bldk lalwpu] vuqizLFk vkSj vuqnSè;Z rjax esa varj] izR;kLFk rjax ,oa fo|qr pqEcdh; rjax eas varj] izdk'k rjax ,oa èofu rjax eas varj] izeq[k lw=k ,oa ek=kdº

121

vH;kl iz'u

136

7.

8.

9.

mQ"ek (HEAT) ¹mQ"ek] rki] rkiekih] ukseksxzkiQ] fof'k"V mQ"ek] xqIr mQ"ek] xyukad] DoFkukad] ok"iu] vknzZrk] ije vknzZrk] vkisf{kd vknZrk] mQ"ek/kfjrk] mQ"eh; larqyu] mQ"ek rFkk rki esa varj] ok"iu vkSj DoFku esa varj] var% ngu batu ,oa cká ngu batu] mQ"eh; izlkj] mQ"ek dk lapj.k] U;wVu dk 'khryu fu;e] fofdj.k dk mRltZu ,oa vo'kks"k.k] xSlksa dk izlkj] mQ"ek xfrdh] izeq[k lw=k ,oa ek=kdº

147

vH;kl iz'u

164

izdk'k (LIGHT) ¹izdk'k] izdk'k dh pky] izdk'k dh ljy js[kh; xeu] izdk'k dk ijkorZu] izdk'k dk viorZu] izdk'k dk o.kZ&fo{ksi.k] oqQN izeq[k izdk'kh; ;a=k] n`f"V nks"k] izeq[k lw=k ,oa ek=kdº

175

vH;kl iz'u

194

fLFkj oS|qfrdh] fo|qr vkSj pqacdRo

213

(ELECTROSTATICS, ELECTRICITY AND MAGNETISM)

¹fLFkj oS|qfrdh] fo|qr cy ds fu;e ;k owQykWe] dk fu;e] fn"V /kjk] izR;korhZ èkkjk] fo|qr lsy] fo|qr pkyu] ifjiFkksa esa iz;qDr ;qfDr;ksa ds izeq[k izrhd] izfrjks/ksa dk la;kstu] fo|qr 'kfDr] pqEcdh; izHkko] fo|qr&pqEcd] pqEcdh; {ks=k ds mi;ksx] fo|qr pqEcdh; izsj.k] izfrpqEcdh;] vuqpqEcdh; rFkk ykSg&pqEcdh; inkFkks± dk rqyukRed vè;;u] pqEcdRo] jklk;fud izHkko] mQ"eh; izHkko] ?kjsyw fo|qr vkiwfrZ] Lej.kh; rF;] izeq[k lw=k ,oa ek=kdº

10.

vH;kl iz'u

242

vk/qfud HkkSfrdh (MODERN PHYSICS) ¹ukfHkdh; HkkSfrdh] bysDVªkWfudh] izdk'k fo|qr izHkko] Mk;ksM] ykWftd xsV] iQksVksfuDl v¼Zpkyd] vfrpkydrk] VªkWftLVj] Vsyhfotu] jkMkj] yslj] gksyksxkz iQh] eslj] xzis Qhu] ehluj izHkko] DokaVe MkWV~l] uSuksLdksih] jkscksV] uSuksikz | S ksfxdh] xzhu Iyksjl s Vas izkVs hu] xkWM ikfVZdYl] HkkSfrd foKku ds egRoiw.kZ fcUnq vkfnº

267

vH;kl iz'u

296

NTPC 2021 esa

iwNs x, iz'u

305

ek=kd rFkk xfr

ek=kd rFkk xfr

1

UNIT AND MOTION

foKku (Science) : fdlh fo"k; osQ Øec¼ Kku dks foKku (Science) dgrs gSaA foKku dh fofHkUu 'kk[kkvksa dks nks Hkkxksa esa ck¡Vk tk ldrk gSµHkkSfrd foKku (Physical Science) vkSj tho foKku (Biological Science)A HkkSfrd foKku esa futhZo (Nonliving) inkFkks± rFkk tSo foKku esa ltho (Living) inkFkks± dk vè;;u fd;k tkrk gSA

foKku

[kxksyh; foKku

(Astronomical Science)

(SCIENCE)

izkÑfrd foKku

HkwxHkZ foKku

(Natural Science) Geological Science)

HkkSfrd foKku

(Physical Science)

tho foKku

(Biological Science)

(iii) S.I. ;k vUrjkZ"Vªh;&i¼fr ek=kd (International System of Units) : vc blh i¼fr dk O;ogkj fo'ks"k :i ls gks jgk gS A ;g M.K.S. System dk gh fodflr :i gS A S.I. osQ N% izèkku rFkk nks lgk;d (supplementary) ek=kd gksrs gS a A

ih- ,l- i¼fr (F.P.S. System) : iqQV&ikS.M lsds.M i¼frA mlesa yEckbZ dk eq[; ek=kd iqQV] nzO;eku dk ikS.M o le; dk lsds.M ekuk x;k gSA bls fczfV'k i¼fr dgrs gSaA

(iv) ,iQ-

System

Length

Mass

Time

F.P.S.

Foot

Pound

Second

C.G.S.

Centimetre

Gram

Second

M.K.S.

Metre

Kilogram

Second

osQ lkr çèkku ek=kd HkkSfrd jkf'k ek=kd dk uke ek=kd dk fpÉ S.I.

HkkSfrdh

(Physics)

I.

jlk;u foKku

(Chemistry)

tUrq foKku

(Zoology)

ouLifr foKku (Botany)

ek=kd (Units) :

HkkSfrd jkf'k dk vè;;u djus osQ fy, mldh ekirkSy dh vko';drk iM+rh gS A blosQ fy, mlh rjg dh ,d fuf'pr jkf'k dks izkekf.kd (standard) eku fy;k tkrk gS A blh izkekf.kd dks ml jkf'k dk ek=kd (unit) dgrs gSa A ekius okyh jkf'k bl ek=kd osQ ftruk xquk gS] ogh ml jkf'k dh la[;kRed eki gksrh gS A tSls] diM+k dh yackbZ ehVj esa ekih tkrh gS A ;fn dgk tkrk gS fd diM+k ik¡p ehVj gS] bldk eryc gqvk fd diM+k dh yackbZ] yackbZ osQ ek=kd ehVj dh ik¡p xquh gS A ek=kdksa dh rhu i¼fr gSa aA (i) ls-xzk-ls- i¼fr (C.G.S. System) : bl i¼fr esa yackbZ] nzO;eku rFkk le; dk ek=kd Øe'k% lsaVhehVj] xzke vkSj lsoQ.M gS A bUgha osQ vkèkkj ij vU; jkf'k;ksa osQ ek=kd dks izkIr djrs gSa A bls Úsap ;k fefVªd i¼fr dgrs gSA (ii) eh-fd-ls- i¼fr (M.K.S. System) : bl i¼fr esa yEckbZ] nzO;eku rFkk le; dk ek=kd Øe'k% ehVj] fdyksxzke vkSj lsoQ.M gS A bls Hkh fefVªd i¼fr dgrs gSaA

Øe la[;k 1. 2. 3. 4. 5. 6.

yackbZ nzO;eku le; fo|qr èkkjk mQ"ek xfr dk rki T;ksfr rhozrk

ehVj fdyksxzke lsoQ.M ,sfEi;j osQfYou osQ.Msyk

m kg s A K Cd

(Luminous Intensity) 7.

inkFkZ dk ek=kk eksy

mol

uksV % ghfy;e&fu;kWu ystj dk mi;ksx yackbZ dh ,d ehVj dh uohure ifjHkk"kk dks ifjHkkf"kr djus ds fy, fd;k x;k gSA tks ,d ehVj 633 nm rjaxnSè;Z ds He-Ne ystj ds 1579778.84 rjax nSè;Z ds cjkcj gksrk gSA

KPH-7

jsyos PHYSICS (BY : KHAN SIR, PATNA) S.I.

osQ nks lgk;d (laiwjd) ek=kd

Øe la[;k

HkkSfrd jkf'k

ek=kd dk ek=kd dk fpÉ uke

1.

lery dks.k

jsfM;u

rad.

2.

Bksl dks.k

LVsjsfM;u

Sr.

oqQN izeq[k jkf'k;ksa osQ fofHkUu i¼fr;ksa esa ek=kd (Units of Some Importatnt Quantities in Different Systems) : Øe HkkSfrd jkf'k la1. {ks=kiQy (Area) 2. vk;ru

ek=kd dk uke

ek=kd dk fpÉ

oxZlseh- [lseh-2] ?kulseh- [lseh-3]

oxZehVj [ehVj2] ?kuehVj [ehVj3]

(Volume)

uksV % le; lkisf{kd jkf'k ugha gSA D;kasfd le; fdlh vU; HkkSfrd jkf'k ij ykxw ugha gksrkA r O

5.

d = ds/r radian Fig: (a)

O

4.

ds

d

r

3.

lseh- izfr lsoQ.M [lseh- ls-–1] Roj.k lseh- izfr oxZ (Acceleration) ls- [lseh- ls–2] ?kuRo (Density) xzke izfr ?ku lseh[xzke lseh-–3]

6.

laosx

7.

cy (Force)

xzke lseh- izfr oxZ ls- [xzk-lseh-ls-–2] ;k Mkbu (Dyne)

8.

dk;Z (Work)

xzke lseh- ls-

9.

'kfDr (Power)

xzke lseh- izfr lsoQ.M3

10.

ncko ;k izfrcy

dA

d

osx (Velocity)

xz k e ls e h- iz f r (Momentum) lsoQ.M xzke lseh- ls-–1

d = dA/r2 steradian Fig: (b) Description of Fig: (a) plane angle d and Fig: (b) solid angle d.

S.I.

i¼fr ls ykHk %

1.

bl i¼fr ls NksVh&ls&NksVh vkSj cM+h&ls&cM+h la[;k dks vklkuh ls nl osQ ?kkr esa O;Dr fd;k tk ldrk gS A

2.

bldk O;ogkj vklkuh ls HkkSfrdh; ifjek.k lacaèk lehdj.k (In physical quantitative equations) ls fd;k tkrk gS  A

3.

pw¡fd] ;g i¼fr ,d ije i¼fr (Absolute system) gS] blfy, bl i¼fr dh x.kuk esa loZ=k O;kIr jgus okyh xq.kd ‘g’ ugha vkrk gS A

bl i¼fr esa mQtkZ osQ fdlh Hkh :i osQ ek=kd twy gksrk gS] tks ;kaf=kdh MKS, ek=kd fo|qrh; RMKSA ek=kd ls feyrk gS A bl fl¼kar dk ;g lcls cM+k ykHk gS A uksV %

4.

(i)

;kn j[kas fd bdkb;ksa dh varjkZ"Vªh; iz.kkyh (SI) foKku dh lHkh 'kk[kkvksa ij ykxw gksrh gS tcfd M.K.S. iz.kkyh dsoy ;kaf=kdh (Mechanics) rd gh lhfer gSA (ii) gekjs ns'k esa yackbZ] nzO;eku vkSj le; vkfn ds HkkSfrd ekudksa ds j[kj[kko dh ftEesnkjh jk"Vªh; HkkSfrd iz;ksx'kkyk ubZ fnYyh dks nh xbZ gSA

KPH-8

ehVj izfr lsoQ.M [ehVj ls-–1] ehVj izfr oxZ lsoQ.M [ehVj ls-–2] fdxzk- çfr ?ku eh[fdxzk- ehVj–3] fdxzk- ehVj izfr lsoQ.M [fdxzk- eh- ls-–1] fdxzk- ehVj izfr oxZ lsoQ.M [fdxzkeh-ls –2] ;k U;w V u (Newton)

2

Mkbu izfr oxZ (Pressure or lseh- ikLdy

fdxzk- ehVj2 lsoQ.M-1 ;k vxZ ;k Mkbu ;k U;wVu ehVj ;k twy lsehfdxzk- eh-2 ls–3 ;k twy izfr lsoQ.M ;k okV (Watt) U;wVu izfr oxZehVj

strain) 11.

vko`fÙk

pØ izfr lsoQ.M

gV~Zt (Hz)

(Frequency)

nzO;eku (Mass) xzke (g) 13. vk?kw.kZ Mkbu&lseh12.

fdyksxzke ;k kg U;wVu ehVj (Nm)

(Momentum) 14. 15.

nwjh (Distance) lsUVhehVj Hkkj (Weight) xzke&Hkkj

ehVj (m) fdyksxzke&Hkkj ;k U;wVu (kg wt = 9·8N)

izR;kLFkrk xq.kkad Mkbu U;wVu izfr oxZehVj (N/m2) izfr oxZ lsehw 17. dks.kh; osx jsfM;u izfr lsoQ.M

16.

ek=kd rFkk xfr 18. 19. 20. 21. 22. zz

dks.kh; Roj.k dks.k xq#Roh; {ks=k rhozrk èkkjk vkosx



U;wVu × lsds.M

,sfEi;j U;wVu lsds.M (NS)

HkkSfrdh esa cgqr NksVh vkSj cgqr cM+h jkf'k;ksa ds ekuksa dks nl dh ?kkr ds :i esa O;Dr fd;k tkrk gSA 10 dh dqN ?kkrksa dks fo'ks"k uke rFkk ladsr esa O;Dr djrs gSa] tks fuEufyf[kr gSa &



1 ikjlsd

= 3.26 izdk'k o"kZ



= 3.08 × 1016 ehVj



1 izdk'k o"kZ

= 9.46 × 1015 ehVj



1 iQehZ

= 1 fm = 10–15 ehVj



1 ,saXLVªkWe

= 1 Å = 10–10 ehVj



1 leqnzh ehy

= 1.852 fdyksehVj



Nautical mile

uke (prefix)

izrhd

1024

;ksV~Vk (Yotta)

Y

1021

tsV~Vk (Zetta)

Z



1 ,dM+ (area)

= 4840 oxZ xt

1018

,Dlk (exa)

E

isVk (peta)

P





1015

= 43560 oxZ iQhV

1012

Vsjk (tera)

T





= 4046.94 oxZ ehVj

109

xhxk (giga)

G



1 gsDVs;j (hectare)

= 2.471 vFkok 2.5 ,dM+

106

esxk (mega)

M



1 oxZ ehy (square mile) = 2.6 oxZ fdyksehVj

103

fdyks (kilo)

k



= 256 gsDVs;j

10

2

gsDVks (hecto)

h



= 640 ,dM+

10

1

Msdk (deca)

da



10-1

Mslh (deci)

d

10-2

lsUVh (centi)

c

10-3

feyh (milli)

m



10-6

ekbØks (micro)

µ



10-9

uSuks (nano)

n



1 vkmUl

= 28.35 xzke

10-12

ihdks (pico)

p



1 ehfVªd Vu

= 1000 fdyksxzke

10-15

isQEVks (femto)

f



1 fdyksxzke

= 2.205 ikm.M

10-18

,Vks (atto)

a



1 dSjsV

= 205.3 feyhxzke

10–21

tsIVks (zepto)

z



1 feyhxzke

= 10–6 fdyksxzke

10–24

;ksDVks (yocto)

y

(Some important Units) :

[kxksyh; bdkbZ (Astronomical Unit - A.U.) : [kxksyh; bdkbZ nwjh dk ek=kd gSA lw;Z vkSj i`Foh ds chp dh ekè; nwjh (Mean Distance) ^[kxksyh; bdkbZ* dgykrh gSA (1 A.U. = 1.495 × 1011 Metres)

izdk'k o"kZ (Light Year) : izdk'k o"kZ nwjh dk ek=kd gSA ,d izdk'k o"kZ fuokZr esa izdk'k ds }kjk ,d o"kZ esa pyh x;h nwjh gS] tks 9.46 × 1015 eh- ds cjkcj gksrh gSA 3. ikjlsd (Parsec) : ikjlsd nwjh ekius dh lcls cM+h bdkbZ gSA ftldk eku 3.0857 ×1016 eh- gksrk gSA 2.

nwjh ds ek=kd %

nl dh ?kkr

dqN izeq[k ek=kd 1.

jsfM;u izfr lsoQ.M2 ∠ rad. jsfM;u U;wVu@fdxzk-

{ks=kiQy ds ek=kd %



1 oxZ fdyksehVj

= 100 gsDVs;j

æO;eku ds ek=kd % 1 ikm.M

= 16 vkmUl = 453.52 xzke

vk;ru ds ek=kd %

1 yhVj (litre)

= 1000 ?ku lsaVhehVj (cc)





= 0.2642 xSyu





= 100 lsaVhyhVj





= 1.76 fiaV



10 yhVj

= 2.2 xSyu



1 xSyu

= 231 ?ku bap



= 3785.4 ?ku lseh-



= 3.785 yhVj



= 159 yhVj

1 cSjy

KPH-9

jsyos PHYSICS (BY : KHAN SIR, PATNA)

le; ds ek=kd %

1 lsd.M

= ekè; lkSj fnol dk



1 'ksd (Shake)

1 oka Hkkx 86400 = 10–8 lsd.M



1 feuV

= 60 lsd.M



1 ?kaVk

= 60 feuV



1 ?kaVk

= 3600 lsd.M



1 fnu

= 24 ?kaVs



foek,¡

1 lIrkg 1 pUnzekl (Lunar month) 1 lkSj fnu

= 7 fnu = 4 lIrkg = 27.3 fnu = 28 fnu (yxHkx) = 86400 lsd.M

1 lkSj ekl (Solar month) = 30 ;k 31 fnu

(iQjojh 28 ;k 29 fnu) 1 o"kZ (1 year) = 13 pUnzekl 1 fnu 12 lkSj ekl = 365¼ fnu = 365 fnu 6 ?kaVk 1 yhi o"kZ (Leap Year) = 366 fnu

(Dimensions) :

HkkSfrd jkf'k;ksa ds O;qRiUu ek=kd fudkyus ds fy, ewy ek=kdksa ij tks ?kkrsa yxkuh iM+rh gSa] mUgsa ml jkf'k dh foek,a dgrs gSaA yEckbZ] nzO;eku] le; rFkk rki ds foeh; ladsr Øe'k% L, M, T rFkk K iz;qDr fd;s tkrs gSaA ;fn fdlh HkkSfrd jkf'k dh yEckbZ esa a, nzO;eku esa b, le; esa c rFkk rki esa d ?kkr yxs gks] rks ml jkf'k dh foekvksa dks fuEufyf[kr izdkj fy[krs gSa& [LaMbTckd]A bls ml jkf'k dk foeh; lw=k dgrs gSaA

HkkSfrd jkf'k;ksa osQ foeh; lw=k Ø- la- HkkSfrdh jkf'k

lw=k

foeh; lw=k

1.

{ks=kiQy

yEckbZ × pkSM+kbZ

[L×L] = [L2]

2.

vk;ru

yEckbZ × pkSM+kbZ × eksVkbZ

[L×L ×L] = [L3]

3.

osx ,oa pky

nwjh foLFkkiu ,oa le; le;

L = [L T –1] T

4.

Roj.k

osx&ifjorZu le;

LT = [L T–2] [T]

5.

cy

nzO;eku × Roj.k

[M] [LT–2] = [MLT–2]

6.

dk;Z

cy × foLFkkiu

[MLT–2] [L] = [ML2T–2]

7.

'kfDr

dk;Z le;

 ML2 T –2  = [ML2 T–3] [T ]

8.

?kuRo

nOzÕkeku vkÕkru

[M]

–1

 L3 

= [ML–3]

9.

laosx

nzO;eku × osx

[M] [LT–1] = [MLT–1]

10.

xfrt mQtkZ

1 (nzO;eku) × (osx)2 2

[M] [LT–1]2 = [ML2T–2]

11.

xq#Roh; fLFkfrt mQtkZ

nzO;eku×xq#Roh; Roj.k×nwjh

[M] [LT–2] [L] = [ML2T–2]

12.

nkc

cy {ks=kiQy

KPH-10

 MLT 2  = [ML–1 T–2]  L2 

ek=kd rFkk xfr 13.

vkosx

cy × le;

[MLT–2] [T] = [MLT–1]

14.

cy vk?kw.kZ

cy × nwjh

[MLT–2] [L] = [ML2T–2]

15.

izfrcy

cy {ks=kiQy

16.

foÑfr

yEckbZ esa o`f¼ izkjafHkd yackbZ

[L] [L]

17.

izR;kLFkrk xq.kkad

izfrcy foÑfr

[ML–1 T–2]

18.

i`"B&ruko

cy yackbZ

19.

xq#Rokd"kZ.k fu;rkad

cy × nwjh nzO;eku × nzO;eku

20.

xq#Roh; {ks=k dh rhozrk xq#Rokd"kZ.k&cy nzO;eku

 MLT 2  = [LT–2] [M]

21.

xq#Roh; foHko

xq#Rokd"kZ.k&cy nzO;eku

 ML2 T 2  = [L2 T–2] [M]

22.

fLaizx dk cy&fu;rkad

vkjksfir cy yackbZ esa o`f¼

 MLT –2  = [MT–2] [L]

23.

vko`fÙk

1 vkorZdky

[T–1]

24.

dks.k

pki f=kT;k

[L ] [L ]

 MLT 2  = [ML–1 T–2]  L2  = [L0]

 MLT 2  = [MT–2] [L] 2

 MLT 2  ×  L3  = [M–1 L3 T–2] [ M ]× [ M ]

= [L0]

25.

dks.kh; osx

dks.k le;

L0  = [T–1] [T]

26.

dks.kh; Roj.k

dk.kh; osx le;

T –1  = [T–2] [T ]

27.

tM+Ro&vk?kw.kZ

nzO;eku × (nwjh)2

[M] [L2] = [ML2]

28.

dks.kh; laosx

tM+Ro&vk?kw.kZ × dks.kh; osx

[ML2] [T–1] = [ML2 T–1]

29.

fof'k"V mQ"ek

mQ"eh; mQtkZ nzO;eku rki&o`f¼

 ML2 T –2  = [L2 T–2 θ–1] [ M ][θ]

KPH-11

jsyos PHYSICS (BY : KHAN SIR, PATNA) 30.

mQ"ek /kfjrk

nzO;eku × fof'k"V mQ"ek

31.

xqIr mQ"ek

mQ"eh; mQtkZ nzO;eku

 ML2 T –2  = [L2T–2] [M]

32.

js[kh; izlkj&xq.kkad

mQ"eh; mQtkZ ×nwjh {ks=kiQy × rkikUrj × le;karjky

[L] = [θ–1] L [ ][θ]

33.

mQ"ek&pkydrk xq.kkad

mQ"eh; mQtkZ ×nwjh {ks=kiQy × rkikUrj × le;karjky

 ML2 T –2  [ L ] = [MLT–3θ–1]  L2  [θ][T ]

34.

cksYV~leku fu;rkad

xfr mQtkZ rki

 ML2 T –2  = [ML2T–2θ–1] [ θ]

35.

xSl fu;rkad

nkc × vk;ru rki

36.

Iykad fu;rkad

mQtkZ vko`fr

 ML2 T –2  = [ML2T–1]  L–1 

37.

osx izo.krk

osx&ifjorZu nwjh

 LT –1  = [T–1] [L]

38.

';kurk xq.kkad

cy {ks=kiQy × osx&izo.krk

[M] [L2T–2θ–1]=[ML2T–2θ–1]

−1 –2 3  ML T   L  = [ML2T–2θ–1] [ θ]

 MLT –2  = [ML–1T–1]  L2  T –1 

uksV % oqQN egRoiw.kZ rFkk leku HkkSfrd jkf'k;k¡ rFkk mlds foeh; lw=k tks ckj&ckj ijh{kk esa iwNs x;s gSa %

Superfast approach

fdlh lehdj.k dk fliZQ mldh vk;keh 'kq¼rk mldh HkkSfrd 'kq¼rk lqfuf'pr ugha djrk gSA mnkgj.k ds fy, dke (work) = ean (Torque) vk;keh :i ls lgh gS ysfdu 'kkjhfjd (Physically) :i ls xyr gSA

pky] osx

[LT ]

Hkkj] cy

[MLT–2]

mQtkZ] dk;Z] cy] vk?kw.kZ osx izo.krk rFkk dks.kh; osx Iykad fu;rkad] dks.kh; laosx

[ML2T–2]

lkFkZd vad

[T–1]

lkFkZd vad fdlh eki dh fo'oluh;rk lwfpr djrk gSA (i) lkFkZd vad  ⇒ 'kq¼rk  (ii) lkFkZd vad  ⇒ 'kq¼rk 

–1

[ML2T–1]

Confuse uk gksa (i)

nkc] izfrcy] izR;kLFkrk xq.kkad] ;ax izR;kLFkrk xq.kkad] vk;ru izR;kLFkrk xq.kkad] n`