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AL/2017/01/T-I,II
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AL/2017/01/T-I,II
gFjp II(A) mikg;Gf;fl;Liu
01. (a) fyf;fp> ntg;gkhdp> epWj;jw;fbfhuk; …………………………………….(2)
( %d;Wk; rhpahapd; 2 Gs;spfSk; ,uz;L rhpahapd; 1 Gs;spAk;)
(b) flj;jy; Kiw %ykhd ntg;g ,lg;ngaHit Fiwf;f …………….(1)
(c) fyf;fpapdhy; ed;F fyf;fpa tz;zk; thrpg;G vLj;jy;. …………….(1)
(d)
…………….(1)
(e) rupahd tioapw;F …………….(1)
( Muk;g ntg;gepiy xd;whf ,y;yhjpUg;gpd; ve;j xU Fwpj;j ntg;gepiyf;Fk;
X ,d;gbj;jpwd; Kd;dajpYk; mjpfk; vd;gJ fUjg;gl Ntz;Lk; )
(f) ntt;NtW ntg;gepiyfSf;F / Nkyjpf ntg;gepiyf;F cupa tisapapd;
gbj;jpwd;/ ntg;gepiy tPo;r;rptpjk; …………….(1)
(g) i.
…………….(1)
ii. Fwpj;j ntg;gepiyapy; #oYf;fhd ntg;g ,og;G tpjk; ntg;gkhf;fpapd;
tYtpw;F rkdhFk;. …………….(1)
iii. R = 10(θ – θ
R
)
500 = 10 (θ – 30)
θ = 80
0
C…………….(1)
02. (a)
(kPw;wh; Nfhypd; ngUk;gFjp fhl;bf;F fPo; ,Ug;gJld; fhl;bf;F
nrq;Fj;jhf ,Uj;jy; , fhl;b mstpil xd;wpw;F Neh; ,Uj;jy;)
…………….(1+1)
(b) F = Ke
Mg = Ke
K = Mg/e …………….(1)
θ
t
θ
t
θ
R
X
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AL/2017/01/T-I,II
(C) tpy;ypw;F mUfhikapy; kPw;wh; msTr;rl;lk; itf;fg;gl;L tpy;ypd; ,U
Kidfspw;Fk; chpa thrpg;G ngwy; …………….(1)
(d) i. 2e …………….(1)
ii K/2 …………….(1)
(e) i. 

  …………….(1)
y m x
ii. epWj;jw; fbfhuk; …………….(1)
iii. gbj;jpwd; …………….(1)
iv.



2n = 10
n =5 …………….(1)
03. (a)
i. …………….(1)
ii. A, B …………….(1)
iii. Kf;Nfhzpfs; AOX, ALYvd;gtw;wpy;
h
I
/h
O
=f/x……..(a)
Kf;Nfhzpfs; LZB, BIY vd;gtw;wpy;
h
I
/h
O
=y/f……..(b)
(a).(b)…… f
2
= xy ……………..(1)
iv. x y = f
2
(u-t) (V-f) = f
2
…………….(1)
v. A ,w;Fk; L ,w;Fk; ,ilNa …………….(1)
vi. ZB ,izf;Fk; NfhL topNa …………….(1)
ho
X
P
O
A
Z
Y
L
T
B
I
Q
E
h
I
,opT
x 100
mstpa
=
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AL/2017/01/T-I,II
vii.
1. M-(f,0) , N- (0,f) …………….(1)
2. nka;g;nghUs; , nka;tpk;gk; (+)
khag;nghUs; , khatpk;gk; (-)…………….(1)
viii.
1. AO tpw;fpilapy; …………….(1)
2. mjpfhpf;Fk; …………….(1)
04. (a) i. ed;dPupy; -njhlH …………….(1)
fly;ePupy; -rkhe;juk; …………….(1)
ii. Fiwe;j jilf;F (fly;ePH) rkhe;juepiyapy; caH kpd;Ndhl;lk; $ba
…………….(1)
jilf;F (ed;dPH) njhlHepiyapy; caH kpd;Ndhl;lk;. …………….(1)
iii. V = E-Ir
3.3 = 6.9 1.5 x 5r
r = 0.48Ω …………….(1)
(b) i.

  




5Ωm …………….(1)
ii.
…………….(1)
(c) (i) rf;jp = EQ
= EItn
= 45x0.12x5x10
-3
= 10.8J …………….(1)
(ii) Fiwthf ,Uj;jy; Ntz;Lk; , clw;gFjpapy; tpiuakhFk; kpd;rf;jpia Fiwf;f
…………….(1)
(iii) Jhuj;Jld; kpd;Ndhl;l mlh;j;jp FiwT …………….(1)
R
m
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AL/2017/01/T-I,II
gFjp II(B) fl;Liu
05. (a)
…………………………………….(1+1)
(%d;W tpirAk; rupahf ,Ug;gpd; xU Gs;spAk; %d;W tpirAk; xU Gs;spapy;
re;jpg;gjw;F xU Gs;spAk; toq;Ff)
(%d;W tpirfSk; xU Gs;spapy; re;jpf;fhtpbd; Gs;sp ,y;iy)
(b) i.

 
30 x 10
3
= 6000a 50
2
= 0 + 2x 5S …………….(1)
a = 5ms
-2
………(1)


= 250m ………….(1)
NtW Kiw
tpir x J}uk; = ngw;w ,af;f rf;jp
30x10
3
xs=1/2 x 6000x50
2
s=250m
ii. ,af;fj;jpw;nfjpuhf tspj;jiljhf;Fk; fzpg;gPl;by; fUjg;gltpy;iy/ tspj;jil
jhf;Ftjhy; tpkhdj;jpdJ ruhrup MHKLfy; 5ms
-2
,Yk; FiwT MFk;.
………………….(1)
(c) i. LCos30 = 6x10
4
………………….(1)


  
………………….(1)
ii. ikak; Nehf;fp


………………….(1)
  
 
  

………………….(1)
iii. fjp 80ms
-1
,Yk; mjpfkhjy; Ntz;Lk; ………………….(1)
rha;T Nfhzk; 30
0
,Yk; mjpfupj;jy; Ntz;Lk; ………………….(1)
(d) i. 1.
………………….(1)
F
W
T
A
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AL/2017/01/T-I,II
2.
………………….(1)
ii. P apdJk; W ,dJk; tpisANs ikak; Nehf;fp ,Uj;jy; Ntz;Lk;.
………………….(1)
06. (a) i. 1. #oiyg;gw;wp mwpjy;.
jkJ ghijapYs;s jilfis mwpjy;
jkf;fhd czTfspd; ,Ug;gplj;ij mwpjy; ………………….(1)
( VjhtJ ,uz;bw;F )
2. J}uk; - vjpnuhyp czug;gl vLf;Fk; Neuj;jpy; ,Ue;J
miktplk; - vjpnuhyp fhjpy; czug;gLk; gFjp
msT - czug;gLk; nrwpT
,af;fk; -; czug;gLk; RUjp. ………………….(2)
( VjhtJ %d;wpw;F 1 )
ii. 1. xyp ntspNaWk; NghJk; jpUk;gp tUk;NghJk; Vw;gLk; guty; ,og;Gf;fs;
,Utopg;gazj;jpd; NghJk; epfOk; Clfj;jpyhd cWQ;ry;.
vjpnuhypiag; gpwg;gpf;Fk; Nkw;gug;gpd; cWQ;ry;. ………………….(2)
( VjhtJ ,uz;bw;F 1 )
2. gpwg;gpf;fg;gLk; xypapd; nrwpT njwpg;G epfYk; Nkw;gug;gpw;fhd Jhuk;
xypnry;Yk; Clfj;jpd; jd;ik njwpNkw;gug;gpd; msT
(VjhtJ ,uz;L )
………………….(2)
iii. mjpHntz; $ba fopxyp/ miyePsk; Fiwe;j fop xyp rpW Jzpf;iffspYk;
njwpg;gilaf; $bad. ………………….(1)
(b) i. S = ut
2x = 340 x0.1
x =17m ………………….(1)
ii. 1.



g+r;rp milAk;; mjpHntz;




 ………………….(1)
ntsthy; mtjhdpf;Fk; vjpH xyp apd; mjph;ntz;



 


  
  ………………….(1)
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AL/2017/01/T-I,II
2. g+r;rp mtjhdpf;Fk; mjpHntz;


 


  

………………….(1)
ntsthy; mtjhdpf;Fk; vjpH xyp apd; mjph;ntz;
65
5
340
340
)10340(
v
x
v
………………….(1)
………………….(1)
3. tyg;gf;fk; ………………….(1)
07. (a) i. jput %yf;$Wfs; ,uz;bw;Fk; ,ilapyhd gpizg;ig cilf;fj; Njitahd
rf;jp ………………….(1)
ii. E
0
……………………………..(2)
iii. n/2…………(1)
iv. Nkw;gug;G rf;jp = ½ NnE
0
A ……………….(1)
(b) i. 1kg ePH%yf;$Wfspd; vz;zpf;if.
 
…………………….(1)

   



  
 


   
………………………..(1)

  

……………………….(1)
ii.

   

  

………………………(1)
  



……………………………..(1)
iii. g+r;rpapd; rkepiyf;F
Mg = 2πr T cos θ x 6…………………….(1)
m x10 = 2x0.3 x 3 x10
-5
x 6.9 x10
-2
x 0.8 x6 ……………………….(1)
m = 5.96 x10
-6
kg ……………………..(1)
iv. njhLiff; Nfhzk; NtWgLtjhy; Nkw;gug;G ,Otpirapyhd epiyf;Fj;J
Nky;Nehf;fpa tpisAs; tpir g+r;rpapd; epiwapYk; Fiwthf miktjhy;/ jputk;
fhy;fis eidg;gjhy; …………………………….(2)
1
6.12
msv
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AL/2017/01/T-I,II
08. (a) i.
…………………….(1)
ii. Nfhspd; Nkw;gug;gpy; ,Ue;J vwpag;gLk; Jzpf;if kPz;Lk; Nfhis milahj
tifapy; vwpa Ntz;ba ,opT Ntfk; jg;G Ntfk; MFk;. ……………………(1)
iii. jg;G Ntfk;
M.E
i
= M.E
f
…………………..(1)


………………………(1)
M. E
c
= M. E
f
………………..(1)
 
………………..(1)

 

 
………………..(1)
 
iv.
…………………………………..(1)
v.
 

 
…………………..(1)



……………………..(1)
(b) i. Gtpia Nehf;fp…………………….(1)
ii. M.E
i
= M.E
f
-1.3 x10
6
m + 0 = -62.3 x10
6
m + ½ mv
2
………………………..(1)
V
2
= 122 x10
6
 
ms
-1
………………………(1)
iii.
 


…………………………….(1)
iv. Mk;> njupT nra;ag;gl;l jpirapy; vwptjd; %yk; Gs;sp O it xj;j Gs;spia
nrd;wilAk; tifapy; vwpjy; …………..(1)
t
V
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AL/2017/01/T-I,II
09. (A)
(a) ed;ik 1 vupnghUs; fhHfspYk; ,jd; jpwd; Vwj;jho 3 klq;fhf ,Uj;jy;.
2. vupnghUs;> vz;iz vd;gtw;wpy; ,jd; ,af;fk; jq;fp ,Uf;fhJ.
3. tsp> xyp khrilahJ ,Uj;jy;
4. ghukupg;Gr; nryT Fiwthf ,Uj;jy;.
……………………….…(1)
(vitahapd; ,uz;bw;F)
jPik 1. nfhs;tsTr; nryT mjpfkhf ,Uj;jy;
2. fyj;jpd; kPo;kpd;Ndw;wj;jpw;F $ba Neuk; vLj;jy;.
3. FWfpa J}ug;gazj;jpw;F gpd; fyq;fs; kpd;Ndw;wg;gl Ntz;ba Njit
Vw;gly;
4. tPjpapy; gazpf;Fk; VidNahupw;F ,jd; gad;ghL ,ila+whf ,Uj;jy;.
……………………….…(1)
(vitahapd; ,uz;bw;F)
(b) i. myF Vw;wj;ij %baRw;wpD}L ,lk;ngaHg;gjw;F nra;ag;gl Ntz;ba Ntiy
fyj;jpd; kpd;dpaf;f tpir. …………………………(1)
ii. I= Q/t
Q = It
= 200 x 4x3600…………………(1)
= 2.88x10
6
C………………(1)
iii. E = QV
= 2.88 x 10
6
x 24
= 6.9 x10
7
J…………………….(1)
(c) i.
…………..(2)
ii.


= 0.05Ω……………….(1)
iii. P =VI
= 6 x 120
= 720W…………………(1)
X
Y
30V
-
+
R
X
Y
OR
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AL/2017/01/T-I,II
iv.


………………………..(1)
 


………………(1)
(d) i.


= 8…………………(1)
ii.
240i
1
= 30 x120
i
1
=15A…………..(1)
iii. P = VI
= 240 x (40-15)
= 6000W……………………..(1)
(B)
(a)
i. V
C
= 3V ………………..(1)
ii. V
CC
= I
C
R
L
+V
C
6 = 3x R
L
+ V
C
………………..(1)
R
L
= 1kΩ ………………..(1)
iii. I
C
= βI
B
3 = 100I
B
I
B
= 30μA ………………..(1)
V
CC
= I
B
R
B
+ V
B
E
6 = 30 x10
-3
R
B
+ 0.6 ………………..(1)

  

=1.8 x10
5
Ω = 180kΩ ………………..(1)
iv. 


 

  


………………..(1)
 ………………..(1)
v.




 ………………..(1)
(b) i. Not gate ………………..(1)
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AL/2017/01/T-I,II
ii.
jputkl;lk;
P
Q
R
F
kpif epug;gy;
0
1
0
1
Vw;Wf; nfhs;sg;gl;l msT
1
0
0
0
Fiw epuk;gy;
1
0
1
1
………………..(1+1)
iii. 1. ml;ltiz rhpahapd; ………………..(1)
………………..(1)
………………..(1)
10. (A)
(a) Fwpj;j jpzpT thAtpd; ntg;gepiy khwhj NghJ mjd; mKf;fkhdJ
fdtstpw;F NeHkhW tpfpjrkdhFk;……………………….(1)
(b) i. 1. tpir = (P
in
P
out
) (A
1
-A
2
)……………………(1)
= (2x10
5
1x10
5
) (2x10
-3
-1x10
-3
)
= 100N………………………(1)
← Or ,lg;gf;fkhf ……………………(1)
2. Kryk; L ,d; rkepiyf;F
T = (P
in
- P
out
)A
2
= (2 x10
5
1x10
5
) 1x10
-3
= 100N……………………..(1)
ii. nfhs;fyq;fs; ,lg;gf;fkhf ,aq;FtJld; Kryq;fs; tyg;gf;fkhf ,aq;Fk;.
or nfhs;fyq;fs;> Kryq;fs; ,aq;fpa NghJ njhFjpapd; <Hg;Gikak;
Xa;tpypUf;Fk;……………………………………(1)
iii. 1. ΔV = (2x10
-3
1x10
-3
) x 0.1
= 1x10
-4
m
3
……………(1)
Q
P
RQRQF
.2
3
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AL/2017/01/T-I,II
2. P
1
V
1
= P
2
V
2
7x10
-4
P = 6x10
-4
x 2x10
5
………………….(1)
P = 1.71 x10
5
Pa. …………………………(1)
3. nfhy;fyd; A ,y; cs;s thA mfw;wg;gl;l epiyapYk; thAtpd; mKf;fk;
tsp kz;ly mKf;fj;jpYk; mjpfkhFk;. ………………(1)
iv. W = PΔV
= 1 x10
5
x 1x10
-4
= 10J ………………………(1)
v. ntg;g ,af;ftpaypd; Kjyhk; tpjpg;gb
ΔQ =ΔU + ΔW ……………………..(1)
= 0 +10
ΔQ = 10J ……………….(1)
vi. thAthy; Ntiy nra;ag;gLk; NghJ thAtpd; mfr;rf;jp Fiwfpd;wJ vdNt
ntg;gepiy Fiwe;J #oypy; ,Ue;J ntg;gj;ijg; ngWk; ……………(1)
V.
………………………(1)
(B)
(a) i. jsj;jpw;F nrq;Fj;jhf ntspNehf;fp ………………………(1)
ii. kiw ………………………(1)
iii. 1. Vw;wj;jpd; ,af;fj;jpirf;F nrq;Fj;jhfNt vg;NghJk; fhe;jtpir jhf;Fk;
………………………(1)
2. ngw;w ,af;frf;jp = ,oe;j kpd;dOj;j rf;jp
E = nV
o
e ………………………(1)
3. ikak; Nehf;fp
F = ma ………………………(1)



………………………(1)
4. t = s/v



………………………(1)
T
t
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AL/2017/01/T-I,II
(b)
i.


………………………(1)
ii. I= ne
 

  

1.875 x10
14
Cm
-2
s
-1
………………………(1)
iii.



= 1.06 x10
-4
s
-1
………………………(1)
iv. A = In6(1-e
-λt
)
= 1.875 x10
14
x 2.17 x10
23
x 2 x10
-4
(1-e
-1.06 x10-4x360
) ………………………(1)
= 3.84x10
12
s
-1
………………………(1)
v. 10
8
s
-1
………………………(1)
vi. γ fjpH clypDhL CLUTk; Mw;wy; cilait ………………………(1)
vii. ce;jf;fhg;gpw;F ………………………(1)