1/ritten - Admission Tech BD

" Admission Tech

\1/ritten

* . <r1C'iiil 'l_Jlft) � � I '1'11� ��lt'l ��11 'ift) (,211�(.illl W.lfJ "trif""lffr,, ffiRJrllr,t "!"[ ""5 ?(7.'l 7AA' �� W,� '11-:,i

4 X 10- 1� 111 �? 11'1 ST'J9-201

>tl1Jqf,,: �"1� � �r,, ll)�li, fll� ll1'1J!ll 'iii, Fl"J: lit� 11ClfJ raRll'"i'l"f 'lllflli1f'1 "!I f<r<fl1f,1 'W'f1 ,;·., •,-{. �";� �<P,:�iif.l

'1'11'fi.i<)�. � � � 'lm-� 'lt'lf11 <!Jm-.{<11� "1'1� "1� <l"f 1;1� {j_li,il >t��ir�"' >rn'lll!"ft "!3ITT �r 1-�1

�l'G"��!!i!'lWll <i�f<R>f&.!ll�'l"l F = .2,_ X q,�lz = 9 X 109 X (1.6xio-Mr = 14.4 N4ne0 r (4x10-•S)Z

'.\ tCQ

* "l_';<J � q 'll1C1i! � ll11�41 � �'ll'ITT' r � m'0/1 W!I , \5lt.'iil >t�'C111'1 Cif'/rn 'INJM"i'\5 �" 2fJ<li'!J <: ,t,f¥', f.l'3'!

*

*

*

�tJ..,;i;>J. ISLST' 19 -20]

ta) 0, 2q/nt0r (e) 0, q/nt0 r>t'llNR: ( e);

r r

2 2 A-�-....;;;..-B

(c) q/n£0r2, 0

+q C +q

C W"lt� !?lWiJ, E = �+Ee'� E = EA - Es = 4

:eo (

(i)

z -(i)z) = O

� V = V + V = .2,_ X (� + �) = ...2_ X � = _L· A 8 4neo _ _ 4nEo r nre0 2 2

(3T + 4f)Nc-1 C<l'iJ�4> � 1!1<1$ a� ,:;11l'!ll 'llR� ms-2?

(a) 1.2 x 108 (b) 2 .4 x 108 (c) 2.4 x 106

(e) 1.2 X 106

. . _ � _ ./32 +42 x(1.6x10-•9x2) ms-2 = 2_4 x 10sm5-2>t'llNR- (b), a - m - 4x1.612x10-21

<!1<1$ <51J�I!> � � � ffl<f �-

1 Q2(a) u = 'ic

(b) u = cv2 (c) U = QV

Wi � Gil� 'I!�� Wl'�<f � � lbl�l<1 '<I<'! �<f Wf?

(a)i (b)9 (c)� 1

'>t1llllR: (a); F oc 2

[SUST'19-20]

(d) 2.2 X 106

[Ans: a][M8STU'19-20)

(ct) u = c2v2

(M8STU'19-20}

(d) 3

r

* 1!1<1$ � � � 2 1n �. C'*lillil -?Jl<ll<1M 'llR E 'WI', I m �. C'*tillil -?JMC<1Jil 'ifA' '<ll'lb? [ !\'I BSTl'' I 9-201

*

(a) E (b) 2E (c) 4E (d) E 2

1 �: (c); E oc 2�1ft) llli1C41i1 lltil<li� � 2µF, 3µF \!l'if� 4µF llrnT �� >tl1<11C� �� 1 � llli14>'¾ �-

(a) 12 µF (b) � µF (c)13

µF 13 12 1 1 1 1 1 1 I 13 12 �= (b); - = -+ -+ -= -+ -+ -= - :. C = -µF Cp C1 C2 C3 2 3 4 12 P 13

f Admission Tech

IMBSTU' 19-201

(d) 0.17 µF

" Admission Tech

*. <£1� lffif � c,ic<f>C\'!i 'olll � ��<ml' 1 Wi s c,ic<f>\'!i <>!if 'olll � q � \51�'4'1 � � � � �?

*

(a) 4q (b) Sq (c) 16q (d) 32q

"fl!NR: (d); tfrn', ��QI :. ls <>!if� Q ; 2s <>!if� Q

2 ; Ss <>!if��

2 2 2

Q

IJUST•1g ·l1

:. 2S = q :. Q = 32q

MC6il C<flHIG �lil�il "!Wlf "l�<f>il<t 'iffi? [Ans: b] IPUST•ig ·lr(a)!Q2

(b)!_g_ (d) �QV2 C 2 C2

O I. <£1� >ll��hl '5?'f 'qfilf <£1� � NCllil' \!Ill<!� Q/f<l>C61 \5<'11Gil -iitfJ m l!l!Nii!Fl'e � � 3ITTf <PE Wf -

( a) �iil'4!<f> (b) \!If� ii ( c) �114141 ( d) 01Accfu ( e) "BTISUST'I8.1 ,

"fl!NR: ( e ); � NCllil'il �iil�<f> � � A�� <l<'ICil"f �l� <:511� � � >1>1H �'l!TlT net <l<m"I! •fr,

02. � NC>lil'il �� C'll'<lf, E <£i'<l't. � �. V "f!W r-<£ill� $'!�1c<1 "lffi<l�\5 �? [Ans: b] ISUST'l8.J

(a)E-�,V-; (b)E-r�,V-r1

2 (c)E-r�,V-� (d)E-;,V-� (e)E-;,V-�

03. illQJ\5 <11"3tlil ,� 15µF <£Ill� '<15Jt"IIPT&il f.l,,ica,1 , <£1� C"l' ��<£Ill Fl-oilC<'lf r

WJT911PW1ilfflC\5 � 210µ] "lfu; � 41\lt<'I <£Ill MISC<lil '>IA'� Wf?

(a) av (b) 10v (c) 12v (d) 6V

IBSMRSTU'18-I

�:(a); w = ! X 15 X 10-6 X 62 w' = ! X 15 X 10-6

X 62 + 210 X 10-6

= 2. X 15 X 10-6 X

2 2 2

V'2 � V' = 8V

04. ,pill�IC11<1�il � c� r lj_ll"§ (r > R) � �- (Ans:b J IM BS'l'U' 18-1 I I

(a) E <X r (b) E <X ;i (c) E <X; (d) E <X r2

"l"llTlfR: (b )· E = 1 � � E <X 2.' 4ne0 r2 r2

05. "j.fG 61�i1 � "flW �<f � <f>ilC<'l <l1'I � �<f � 9lfC'<I'?

(a) 1/9 (b) 9 (c) 1/3 (d) 3

IAns:cJ jM8S'fU'l8·1' (a) �1'§4> &=� (b) �l'§<f> (c) "BT (d) 151�>!

07. <£1� >1>1<11� M�C�il A, B <£!<ft. C f?b.:iffl c<P'tfcl<ls � <Q'<l't. M�C\Stil �C\!>J<t> <ll�il Cl'i'lJ" o. Im I fJi':(l� A .!l<r'sFl"J."5 'INl<l!iC>I + lOOC <Q<f• -lOOC .......t , "'"'1 �9A� �l<'ll IC f<l"il\!5 �l<IC"!Jil '>IR�' jNS'fU'l7-1 · (a) 9 x 1010 N/C (b) 7 1012 /

E X N C (c) 9 x 1013 N/C (d) 5 x 1016 N/C

�= (c); O.lm E

A O.im B + IOOC - LOOC

� �1<1a,J

q= .JE2 + E2 + 2E • E cos(l80o - 600) = E

=-·-- 1 100 4neo r2 - 4neo. (0.1)2 = 9 X 1013 Nc-1

f Admission Tech

" Admission Tech

08. + lµC <!l<n.-111C � � 5c1n � '11N <£1� � NC>fil' � <ll'il'I W'!T 1 <£1� NC>fil'il "!'lF <lill<l<I 15cm� � <£1� f.l� � � �?

(a) 2 x 10-15 volt (b) 3 x 10-:1 volt (c) 5 x 10-2 Volt

INSTU'l7-18J (d) 2 x 107 volt

�: (.ffi �); V = _!_. pcc'.sO

4nt0 r2

<.!l��. 0 = 0"; p = q X 21 = J X 10-6 X {),05 = 5 X 1 o-u Ctn1 sx10-11x1 r = 0.151n :. v = - · .;..__.;__� = 20000V

41lfc, (0.15)2

09. 411 F <!l� �H!<l>C<fi 9 .0\1 '4JlT>� IIM '61� <llilt61 <.!lN � "ftillll'l "I��? I NS'f U' 17-181 (a) 2.62 X 10-41 (b) 1.62 X 10-41 (c) 3.62 X 10-41 (d) 4.62 X 10-11�: (b); E = �Cv2 = 1.62 x 10-4 I

2

10. 20 N <.!l� 60 N >flC�<I � � � � � 30° 1 WI� "ITTliif 'l(R �?

(a) 69.77 N (b) 97.77 N (c) 77.96 N (d) 77.69 NIHSTU'17-181

�: (c); R2 = P2 + Q2

+ 2PQ cos a :. V202 + 602 + 2 X 20 x 60. cos 30° = 77.96N

11. 10 cm <IJl'lfC� <.!l� C�l'1<1> � 10 C ��"I'{ <lliH.'1 <!l'il" "P'� � �? [HSTU'l 7-181

(a) 7.9 X 1011 V (b) 9 X 1011 V (c) 9.7 X 1011 V (d) 9.2 X 10-11 V1 Q 9 10 11 �:(b)·V=-.-=9X10 x-=9X10 V ' 4nEo r (0.1)

1.::. �C<'l<l>]M<fi <l��c� ff;�� 'llf¥il �<Ii�� <IP�ili� �? [Ans: bl[JSTU'l 7-181

(d)�� (a)�� (b) "fki<I�� (c) f¾<1>1M �

[JSTU'l7-18J

(a) 1/4 (b) 3/8 (c) 1/8

�' (ct)· E = ! cv2 ... � = (�)2 = (2)2 = 4' 2 E2 V2 1 E E1 3 E :. E2 = - E1 :. E1

- E2 = 1 - - = -

14 4 4

(d) 3/4

14. <Jlq$ � ��C'if>Cill 50cm <uq� \51<1� � � � 9ffffl 200V I ��C'if>CillfJ�: (b); E = - = 50 = 400Vr -

[SUST'l6-17J 100

15. 1£)q$ >l>fF$<11'1 ?fll5 �l<IC<fi � C'lNl!/'61 1.5 X 106mm2 <£1<1� "l)lbqC�<l 1!� � 2mm I � � �

60V�l5C<l 2lC�J<fi �� C? IEo = 8.854 X 10-12F/m] (SUST'l6-17]

(a) 1.56 x 10-9 (b) 3.98 x 10-s (c) 4.82 x 10-9 (d) 5.15 x 10-9 (e) 6.64 x 1 0 -<)

E AV 8.854XI0-12x1·5'10;x60"flllliA: (No correct Answer); Q =-¾-= c,ooo> = 3.98 x 10-1c

1000

(a)� {b) � (c) ..!!.... (d} 411

[Ans: b][BSMRSTU'l6-171

� =• -=� 2�

� I?. 0.2m � f<lfxll <£tq$ 'lll<II� M�C'St<I � c<lll� � bl� 91M111r:t 0.03C IS -0 04C �;ir;,_ ,-..A.�

1fii5? • I ��I� f.<!'11"1<!' 1<1'\f(� 2j'(l,;-ji

(a)9 x 109Nc-1 (b) 8.11 x 109Nc-1 ( ) [BSMRSTl'' 16-1 � I

C 8.19 X 109Nc-1 (d) 9.11 X 109Nc-t

f Admission Tech

" Admission Tech

��: (b); E, = 4,,'eo X (�

:��

2 Ne-• = 6.75 x 109NC-1

E = _!_ x O.O•I Ne-• = <) X 109Nc-• 2 4nEo (ll.2)2 ,

E1

-0.04C

:. E = E: + Ei + 2E1 E2 cos 120° = 8.1124 x 109NC-1

'II 18. .!!�� JPS .Q <1111/ilil Wll'f �?

(a) 300 J (bl 320 J (c) 350 J (d) 700 I [PUST'16,.�: (a); \fl/ = VQ = 12 X 25 = 300J

19. 0.5111 <11� <.!1<1$ )11J<II� M�� "l,C\!i R?�ft; \51fl:IA q1 = +2 x 10-sc, qz = -3 x 1 0 -,r

q3 = +4 x 10-sc �9fi'! <1>�C<1 Qi�� c<1>ctt M\!:)<1 <fi\5 v �? 1sc�r,,.

20.

21.

(a} 835.3 (b) 535.3 (c) 935.3 (d) 965.3 e · ..

�: (c); A

B,;,,:;;;.---1'--=-C D

�. ABC <!!<!$ )111<11� lih�'si lTrn \!:)�c<1>tt �c� G 1 21'':'ll!C\!i, AB= 0.5m <!!'<l�AD 'lfl:fJ�rl"�.S�, BD = 0;

5 = 0.25m 1 : . AD = .../0.52 - o.252 = .../0.1875 m :. AG =¾AD = ¾ ../0.1875 m

t!l�, AG = BG = CG = r I®',

��. �Ctr C'l!1'i, Fl\!:l -)1-l!MA-\!:)-<1 �C611� 'l!tl:fJ � � 0.33V <!!'<I� �'Co'IT 11 cm qj<!� �r.v.� t:-·

2ll<l"IJ�Vm-1?I I I I I (a) 0.03 (b) 0.11 �lfl.l: (e); E = V = 0

·33 = 3.oovm-1

d 0.1 I

(c) 0.30 (d) 0.33

Wi!lfi;C\!i <IJ<l�\!i )!<!>"! �l�C� 'l!R C W'T, A '8 B � 'l!�J<I� <l>l4<1>m �1�<1>� '<l>".1)?

fT:Lf, 11,I '1s

(a) C (b) 3C (c) 1.5 C

c, = A1--t1---+---1 lf--8 3C 3C I = A, _ _, 81 3C 2 = I.SC

f Admission Tech

(d) 6 C

•

I BS.\ I HS l'I ·i'

" Admission Tech

22. f5Cilli1 <unf 15ll�,qSi1� � � C'fl'I C1I A <l8ltt,q1 111'11�<11 'llll111'1 � Q.Ult�, Wi A <r>lt6i1 ��.'WI �IC<II ��Cll�l'f-

!Ans: bllBSMRSTU'lS-16)A.._l __ )Bq_

(11) !l'lt-1<1 � (b) � 1iml_ (c) �:r.•w1�"6 M (dl PIM<fll M

23. � +2C <.!!�� +6C�m 12N W'I f4<11*1<m1111fif �� 61�<!1 -4C � $iFlTII�, � qoj �-

{a) 4N 15l1<f>� (b) 4N f4<t>� (c) ON 15ll<llll'1 (d) ON Wf)1J<f�: {a); F:: _:._ X � � d2 :: 9 X 109 X � = 9 X 109

4nE0 d2 12

Again F' = _:._ X q(,i; = 9 X 109 X (-Z)(Z) = -4N :.4N 15[f<llll<f� ' 4nE0 d2 9X 109

24. zy)li11\S � �?(a) 1 cou1/V {b) 1 Amp/V (c) 1 Cal (d) 1 �

IBSMRU'l4-1SI

IBSMRU' 14-lSJ

� {a); C = � :. zyJli11C\S = 1 C/V

�5. � >11111 �1i1<llt�i1 �li1<f>t<ll � �C\!i IS� >illl./ii1lt61 >i��TIT �, �qt IS >illl./ii11oi>i�Vllt� � <tlil<l>l't-1i5f-f91 � - [BSMRU'14-151

(a) 1 :1 {b) 4:1 {c) 1 :2 (d) 1 :4

�: {d); Cs == (i + i)-1

= (�)-1

== i; Cp = C + C = 2C

26. � 91M<ll�i1 � 151<1�1 <!Sti1? .{a) Ri�ti1i1 � (b) C<l>ttl (c) � ,re

C - 1. .2. = .l... =

-.. C 2C 4

p

[JUST'l4-151

( e) C<l>l1� <rn:i!'l!T�: {d); Question incomplete.

27. �� v = Sx2 + 10x - 9; <!l� x � f.ltq><!<!Sti1 I x = 1 � � C'lf>t<!li1 'lJ'A' <IS\5? (JUST' 14-15)

(a) -20v/m {b) -lOv/m {c) -lSv/m (d) lv/m (e} 2v/m

,flll�: (a); v = Sx2 + lOx - 9; E == -� = -{lOx + 10) :. x = 1 �. E = -20v/m

28. <!)<I$ f<l�:1 >illl./ii:1161' � �1i1C<f>i1 911'5qClli1 � � �'1 4i11i1 � �1i1C<lli1 � � � 91Mll1ct 91Rl<1'51� [JUST'l4-15]

(a) �<f {b) �� (c} '6li1 �<f {d) <!l�-��"I , {e) 151'91Rl<lfi5'!> � =«=· (b) · u == !. cv2 c oc !. ... u oc !. :. u' == !. ., .. , .... ,. '

2 d d U 2

29. 0.02m <1J1>11if f<lfi� 64 � c�l611<fili1 c�lc<fi <!l<fiM'-' <ISti1 <!l'<lllu' '<Ii¥ c�rn 9ffil<f'5 � � 1 wt � Ql>T61ll 1 c �M'1Jlll1 ��'<Ii¥ c�TGl!l" � �? (JUST'14-15]

(a) 8.9 x 10-10 V (b} 7.19 x 1010 V (c) 9.2 X 1010 V (d} 10.7 X 1010 V (e) 8.19 X 1010 V >Im�: (None)· 64 x (�n) r3 == (�n) R3 � R == 4r; V == _:._ x q = 9 x 109 x 64 = 7.2 x J 01 � N' 3 3 41tEo R 4X0.02

30. <!l� �li1t<lli1 MISC<li1 '>ffum<f �<f �� "If%,� �ct��? [MBSTU' 14-151 (a) 3 �<f (b) 6 �<f (c) 1.5 -oct (d) 9 �ct>imlfl'il: (d); U = !.cv2 :. u' = (v')

2

= (3)2 = 9 2 U V

31. C<l'j)fi-54> � � <rn C<fil1fG?

(b)��-lt

[Ans: c) IPUST' 14-1 :-1 (a) C<l'iJ"5<fi <161ti1� � � �(c) 91M<l1�i11511:iJ./iC\1 <161ti1� M'1Jlll1 (d) ��lfi{��91J{w.l��

f Admission Tech

" Admission Tech

32. <!i<l$' �,�<!I�� 1 Ill � � � 'J{�,afpll IC m "lll''II ��VI� ,-.··�� -·v, .... ,�-,, <l'� N. �

(LI /n2 = rr�/6) ISUSt,13

.

(a)6.76x(0 11 {b)5.47xI0 9 (c)5.47xl09 (d)9xl09 ·l;

(t') l.4gx\0 10

'"' '"' ')l��: (c): , �g , .... ----+••>

'1i."' '"'

I(' I I ) ,,,. I 09 rt2 111

. . . ,lt � � �<ll"IT --'-- 7'1 I· :::12 + '.;13 ........ IY.) = 9 X I O "-'J = 9 X I X 6 = I . 48 I O N/C4rrEo

3 ., . 'ffe ��t�i'l lffil� �1-!i'llEI l!ll<11l_l!! V C15lt'11C'!li 1511� <!Im�. l:IRf<!i � (;l!f� '5l<l�fil ,r,rr,1 ·•!fu; 'fi\'.\� � 'l• •

. .(SCST· 13:

ta) 0.25\l (b) 0.5V (c) IV (d) 2V

��:(d);>i>lfS\:IIE11:'Jl<l�l"l,o$>1�W=�(2c)v2=cv2 .-. ; (0.5c) v�= cv2;

(c) 4V

3-+. <!l� � � C"Fldl 50 cm� 151<1� � � M-::>i>lH lflil<lil'�il � � �<l�-::>ICW W T -

(a) 4xJ0'6 F (b) 6x10-6 F (c) 4x10·12 F

1 1 1

>i">lT�: (a); Cs= 6x10-6 x 12x10-6 Or, Cs= 4xl0-6F

(d) 12xl0-6 F

I \I BSTL · 13.

(\IBSTL'l:-

36. <!1<1$ >i>lli:Sill'1 � l:lli!C<flil � <!I� �-�C'1<t>fii:qs � � l:IH\<t>fflil l:llil')? �Cf� 1 � �<1p. -:,?. ��C'1<1ini ,!f<IC4>il m'I' �?

(a) 4 (b) 2

( EokA

-r>lT�: b) ; C = d .-. C ex: K .-. K 2

1

(c)-2

f Admission Tech

[l\-1BSTL 'I:·

(d) 1

4

[Ans: al (PL·sr-1.:

" Admission Tech

41. fi!;.:iffi lllilC<l>il lllil� � IOµF 5µF 5µF 1 <ll"Cllil �� ,s � ff; ,.,..c....... ' 1 � � till <.Clt•1q,n '51c<! >tlleit� �� >illl'SillCt'I � '<l5'll't WI' 'PfJ 11111<15� � �? . .

· (8SMRSTU'l3-14] (a) 5µF (b) I0�1F (c) 12.5�1F (d) 20µF"f'lltlflot: (c); 2.. = 2.. + 2.. = ! + ! = ! => C. = 2.5 •1F

Cs C2 c� s s s � •

CP = C1 +Cs= 10 + 2.5 = 12.5 11F 42. <!l� � � C>it<l>t'(S ��ill� I llfit �lil<l>ffitl5 m �lilltill �R 5sec. "f'Cif q � m;f"""" == · f1i '"'·"' �, ... •lli:1'11 i:I

�m��? (JUST'l3-14, 8SMRSTU'l2-13] (a) 4q <!l� (b) 16q <!l� (c) 8q <!l� (d) 32q �

>illl�R: (d); Qn = (½)n Qo ; Qo = 25q = 32q

43. ��"fict �c.1111 >il�C�J C4llilffi ��?.__.._

(Ans:a] (PUST'l3-14( (a) tillffl <1ffiiilct (b) tilCiSlil lfflW (c) tilc�il � (d) tilwfil �

44. � \!i� C'lfCil!i:I $<il� � � <!l'qlffj �C<1<1\ij-t 'i5Rf '8('!fCili:1 >tlllil � S51i£�<1 4lilC<I?

(a) 5.57xI0-11Nc·1 (b) 4.67xI0· 12Nc·1

(c) 6.5lxl0-12NC-1

(d) 5.57xt0· 11N c ·2 (e) 5.57xlo·10N c ·2 [NUST'll-12, SUST'12-13J

�:(a); <!!C'lfCil!,· mg= qE :. E= mg =

9.1xio -3' x9.s = 5.57xt0· 11Nc ·1

q I.6xl0-19

45. ii1ffi05 � itilC-til � �? [Ans: c) [MBSTU' 12-131

(a) �1'414> (b) llill'4!4> (c) f.lilc9f'IF (d) A'�

46 ,..-- M.A.-' [Ans: c) [MBSTU'I2-13). ..,�,q,� '"" '110'1'.

IC 1 I (a)W= - (b)W=-CV (c)W= -QV (d) W=QV2

2Q 2

�-

2

4 7. <1ffi<11�il '-§caiil � �(C"lil <1<!F<;§I C<IP'f C>i" �t."C"! >iW� til� <1ffiii1•t. .... 1 (Ans: b) [MBSTU' 12-13)

(a)� (b) C<lfxt (c)�'t -- (d)�

48. >illl"! 11lil<l>C'§il � 111i1Cil>il >illl-Sill"I >ill<lllT �<l>l<l>l�-1 �li:1<1>� � >ill<IIC!l �1<1>1<1>1�-t 11-111-<1>-C'§�il ..... �ct I(a) 2 (b) 3 (c) 4 (d) 6 [MBSTU'12-13]

I I I C . CP "f'lltlflot: (c); ffi *fuil lf!il<l>'f C � I \!ilWI, c

p = 2C; C. = C + C => c, = 2. ·c. = 4

(Ans: b] [MBSTU'12-13]

(a)1 g (b) 41tE

0 r (c) 41tE0 r

2 (d)1 Q.

47tE r·�e0

r __

o

50. <119_C'-§ <!! f"IC'•Bl' �� CQ/C !km ��<If¾'-§� <!l"Cliif�"<l<i��?

(a)9xl04N (b) 9xl03N (c)9xl09N (d) 8xl09NI

"f'lltlfl-t: (b); F=9xt09x 3 2 =9xl03N IPUST'l2-13\

(IO )

51. <119.,� <!l<l>ffi �c'lfcat11 3� ,�� M"i.C\5 � 6C, 8C, - 2C � �9fif <Rt� 1 s'<f � f<1..,, � .... . . -llllTlfl-t �9fif <PilC"I <l�C'lft.illil C<l>C'a � �'IJ" �?

(a) -12C (b) 12C (c) 16C (d) -16C

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�llt-!:(a);v= 1 {�+�-�+.9.}=> 12+q = O=>q = -12C41te r r r r r

>l•U•\'>l�:�l�"'lf@ti&<s -s•Cilt'1lt15151HlCiiil fil�'1C��- [Ans: b] [JUST' 12-115 2 . (a)� 151Hlf.!<1> 151<1� (b) � �1et>l1151<1� (c) �� 151<1� (d) � >11�<1�

53_ CE1¥1J� C<lllCllil l!>fw,,ol4'f � f.!Cilil C<llliii&? [Ans: b] [JUST' 12-IJ

(a) 2.2 (b) 1.4 (c) 1.9 (d) 2 .0 • , .

54. •61.,<1>�(e.m.f.)ttiil�<1>wr�f<lmtt&-"""'""'

(Ans.a] [BSMRSTU 12-1:

(a) �g�'5ICWC<l 'It (c) >1l>1Jl<1�ll '41<1>Clii��om

55. 12cm <IJIC)ffl�� 10 Coul ��-�'<llilTWf I �C«:!!�IS<\"'<11�� BSMRSTU'I 2-1(a) 7 . 5xl012y (b) 3.75xl010V (c) 7.5xl010V (d) C<l>liilt� "ll<J<!'om

. . _ l gg = 9xl09x5xl0 V = 7 5 x 10'2v�-(a), V - 4ne0 rt 6xl0 - 2 -= · 56. 6 µF 1$ 4µF 111il<l>C'*il � lllil<l>C � OiliSilC61 ?IJ" �1il� � �?

(a) 13µF (b) 30/13µF (c) 27 /5µF

[BSMRSTU' 12 1 ( d) C<t>l-1� om

�: (d); _I =_!.+_!. => C = 24

= 2.4µFC3 6 4 ' (6+4)

57. <!!<!$ >l>lliiill61 � �lilC<l>il WO- <!IW � �<l>rri � �� <l>iltll <!Iii�� 5 �ct� C9f<'f 1 �'@ -.:: '

�C61<1>rri<1>� <.!lil'>IR�? [Ans: c] (BSMl�Sl'U' I I(a) 1/25 (b) 1/5 (c) 5 · (d) 25

58. 16 coul -s 4 coul � f<l� � <i'SC "J:IT'>IMt>f� '!.,ii"*� 16101'?1 � q<'f 9 x l 09 N �?(a)2cm (b)2 00cm (c)400cm (d)c<1>1-1tt�om

9 916x 4 2 �:d; 9x10 =9x10 2 �d =64m�d=8m d

llli\�'<1115"�?

001µF (b)4 µF �)0.2 5 µF (d)2µF

��: (b ); ...!_ = .!. + .!. => C = 2 · C = C + C = 2 + 2 -4µF C 44 ' 'P -'

IBSMl�s·r1 "I

IBSMRS"l'l"'I

60. "l-lJ'(!Ciiil ,�"iii �1'>1Jl!>1 (Pennitivity of free speace) <!Iii '>!R �? [Ans: a) IM ss·r L ·I�(a) 8.854xl o -12c2N-1 m-2 (b) 8.854xl0-9C2N-1 m -2

(C) 9 xl09 Nm2c·

2(d) 8.854x10-12Nm- 2c-2

6 I. 6IC�il 1511&� 'S "1�>11'1 R<mlil <l>ICiSi �<1�15 <l<A!il 'iil'l1"-I H s·r U, J I· (a) ,�1-ufirotil

� (b) ,�1-ulfirot'?t (c) 151Jlfit'ilBt (d) C<lltiilt� om ��: ( d) ; 51c:sf11 � -s "1M>ll'1 f.l•fcll11 <1>1� <1J<1�16 <tCol!'?t 'l't1f >1J1.,�1Cii1 firo1i1 1

6 2. <!!W"1M<11�e<1>i1 lll'?t'§ 2µF<!!N<ll'5�-l?f'1t-1 <liilC<'I <!Iii� 5v �? irus-r·11 (a) 10xl0-6C (b) 50xl0- 5C (c) 2 xl0-6C (d) lOx 10-sc ��: (a); C= Q :.Q=CV =2x!0-6 x5= !0x l0- 6

V

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63. <IIU:Cl!l <!!� l:lli'IC<l>il l:llil� IOi1Fwr Jr l:lli'I ,..,.__.A..L. _;:_::--------- -- -C<l>i'I 'lli'I� 1'1•rn TI I <l>ll6il \Sl�l.&l�<!S � 5 I (a) 2µF (b) 0.5µF (c) 5011F (d) IOOµF�:(c); i =;- =k �C'=kx('

0=5xl0=50

0 ()

64. � �l<lCC'IHI �<l\t)i%<1> C�t.a!ll �J <!!<fi� �'l 'Wl<>f'l �T.l'I 'R""lhl"' ..,.,. "- . ,, .. Ill',� ""' � :,;.rr,r � <51'.J'>S<f ��?

I PUST'Jl-12)

(a) l.61xl0- 11NC 1 (b) 5.12xl0 10NC 1 (c) 5.57xl0 11NC 1 (d) 5.93xl() "'NC- 1

�: (c): 111,.g=cE-> E= ni..g =5.57xl0-11 N/C

6�- � "l�<ll�<l>ll FfS<l" lV <111¥1� I OC '5lt� �C!ll\lli-l Wi � <>ffil<ll�C<t>il lllil<fi\p �?(a)5F (b) IF (c) IOF (d)2F

. Q 10 �(c). C=-=-=IOFV I

[PUST'l l-121

I PUS'f'll-121

66. <!l� 'llll'Si'll!'I � l:lli'IC<l>il <>fl1i>lilllil f.flsq 9flffl l!lff1vi � �lf m- c�, llli'll<t>i'I ��RS "1KJlli<r.z,i

"l"fro

(a) 60% (b) 45% (c) 65% (d) 75% [JUST' 11-121

�: (d); u=.!.cv2-.!.rf'YJ2

=.!.cv2-.!.cv2 =.!..cv2(1-.!..)=.!..cv2 x(.75)=.!..cv2 x75% 2 21..2 2 8 2 4 2 2

6-. <9� lllilC<fii'l l:lli'l� SF 1 <!I� 1000 coul. m�f.l's<f��? [BSMRSTU'l 1-121 (a) IOOV (b) 200V (c) 250V (d) 300V

. . Q I 000 �.(b), v=-=-=200VC 5

68. l .2µF l:llil<li� � <!I� 2000 Volt 1:11i'1<1>C<1> �'<l>fu' <IJl�tfit 1wl"t 91."f bl� � W'lf 1 >:ffiITTi � ffl <\Mlll'i�? [MBSTU'll-121

(a) 2.41 (b) 0.241

(a) � (b) >JSJlilliS

70. � 6Jffl1'15 1:!M<fit<fi �--1�� <l>il<.¢1 � m -

(a) � (b)� 71- c�11ott<1>11 � 6Jce1'i11!i<1lllM<fi � �?

Q2 r2

(a) cr=-=-- (b) cr=-4nr2

Q4n

(c) 2401

(c)�

72· � 2µF l:lli'l<liC<fi Ptfil� ,i�� il>ilM m"I ;p1'!><1l � l:llil<l'i\? �?

(a) 4µF (b) JµF (c) 0.5µF

��:(b); _I =(.!.+.!.J..!..�C,=lµF Cs 2 2µF

73 l!I� 'lfilt;,:<1.t!il��i'I � �IC�il ll'Cl:IT MljJCl!iil �J�lil!I q'iTif �� AA° '<fit"lf?(a)� �l)Si'I A>SC<1il • (b) � ( c) � N<Jlq56j

(d) 0.0241

(Ans: b) (MBSTU'll-12) (d) f-1�-i

[Ans: b) [MBSTU'll-12] (d)�t"ll�<>fmf

[Ans: d) [MBSTU'l 1-12)

(d) (j = Q ? 4rrr·[Ans: b) (MBSTU'll-12)

(d) 2µF

(Ans: a] [HSTU'll-12) ( d) ,'""'if>1,-,4;-llil�� <m

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