2 nghjj;njht vojts;s khzt fz;kzpfsf;f vdj md;g fye;j tzf;fq;fs; · 2017-01-03 · 1 +2...

www.Padasalai.Net www.TrbTnpsc.com

1

http://www.trbtnpsc.com/2013/07/latest-12th-study-materials-2013.html

+2 nghJj;NjHT vOjTs;s khzt fz;kzpfSf;F vdJ md;G fye;j

tzf;fq;fs;…..! ,aw;gpay; nghJj;NjHtpy; 200-f;F 200 kjpg;ngz;

ngw;wpl 5 kjpg;ngz; tpdhtpy; fl;lhaf; fzf;if

(Compulsory Problem) fz;bg;ghf vOj Ntz;Lk;.

muR nghJj;NjHtpy; ,Jtiu ntspte;j

(nrg;lk;gH – 16 tiu) midj;J 5-kjpg;ngz;

fzf;FfSf;Fk; (70 fzf;Ffs;) jPh;T

fhzg;gl;Ls;sJ. ,e;j fzf;FfSf;F ePq;fs;

tpilaspj;jhy; vt;thW tpilaspg;gPHfNsh mNj

Kiwapy; vspikahf tpilaspf;fg;gl;Ls;sJ.

,jpy; ed;F gapw;rp nra;J nghJj;NjHtpy; 200-f;F

200 kjpg;ngz; ngw;wpl tho;j;Jf;fs;.

vd;Wk; fy;tpg;gzpapy; jhkiur;nry;td;.T K.f.M(,aw;gpay;) m.M.Nk.ep.gs;sp> mwe;jhq;fp. Cell: 9443645072


2


1. xh; ,izj;jl;L kpd;Njf;fpapd; gug;G 200 nr.kP2. mt;tpU jl;LfSk; 1 kp.kP ,ilntspapy; gphpe;J itf;fg;gl;Ls;sd. vdpy; (i) kpd;Njf;fpf;F1nc kpd;Dhl;lk; mspf;fg;gLk;NghJ jfLfSf;fpilNaahd kpd;dOj;jNtWghL (ii) mNj kpd;Dhl;lj;jpw;F ,ilj;njhiyT 2kp.kP mjpfhpf;fg;gl;lhy; Gjpa kpd;dOj;j NtWghL (iii) jfLfSf;fpilNaahd kpd;Gyk; Mfpatw;iw fhz;f. [khh;r; : 2006]

A=200 cm2

=200 x 10-4

m2

d = 1 x 10-3

m

(i) q = 1 x 10-9

c vdpy; v =?

d q d

v = =

0 A. 0

1 x 10-9

x 1 x 10-3

=

2 x 10-2

x 8.854x 10-12

v=5.65 v

(ii) d= 2 m m vdpy; v=? d= 2d njhiyT ,Uklq;F mjpfupj;jhy; kpd;dOj;jk; ,Uklq;F mjpfupf;Fk;

v = 2V = 2x5.65

v=11.3 V

(iii) kpd;Gyk; E = v / d = 5.65 / 10-3

= 5650 v / m.

2. xt;nthd;Wk; 9 pF kpd;Njf;Fj;jpwd; nfhz;l %d;W kpd;Njf;fpfs; njhlhpizg;gpy; ,izf;fg;gl;Ls;sd. (i) njhFg;gpd; nkhj;j kpd;Njf;Fj;jpwd; ahJ? (ii)njhFg;ghdJ 120 v %yj;Jld; ,izf;fg;gLk; NghJ xt;nthU kpd;Njf;fpapd; ,ilNaAk; cs;s kpd;dOj;j NtWghL ahJ? [[Pd; - 2006, nrg; 2006, [Pd; - 2011]

C = 9 pF v =120 v

n = 3 v1= v2= v3=?

CS = ? v1= v2= v3=v / n = 120 / 3

cS = c/n = 9/3 v1= v2= v3=40 V

cS = 3 pF

1 cm2

= 10-4

m2


3


3. kpd;Njf;Fj;jpwd; 0.5 F kw;Wk; 0.75 F nfhz;l ,U kpd;Njf;fpfs; gf;f ,izg;gpy; ,izf;fg;gl;L mtw;wpd; njhFg;G 110v kpd;fyj;Jld; ,izf;fg;gl;Ls;sJ. kpd;%yj;jpd; kpd;Dhl;lj;ijAk; kw;Wk; xt;nthU kpd;Njf;fpapYk; cs;s kpd;Dhl;lj;ijAk; fzf;fpLf. [[Pd; - 2007] c1=0.5 F ; c2=0.75 F

v = 110 v

q1, q2=? nkhj;j kpd;Dhl;lk; q = ?

q1=c1 v

= 0.5 x 10-6

x 110

q1= 55 C

q2=c2 v

=0.75 x 10-6

x 110

q2 =82.5 C

q = q1+q2 =55+82.5

q = 137.5 C

4. 1.3 kP gf;fk; nfhz;l xU rJuj;jpd; ehd;F %iyfspy; +12nc ,

- 24 nc, +31 nc, + 17 nc Mfpa Gs;sp kpd;Dhl;lq;fs; itf;fg;gl;Ls;sd. rJuj;jpd; ikaj;jpy; kpd;dOj;jj;ijf; fzf;fpLf. [[Pd; - 2007] q1=12 nc ; q2=-24nc;

q3=31 nc ; q4=17 nc D C

a=1.3 m vdpy; ikak; 0 tpy; 17nc 31nc r=.OA;=OB =OC=OD= a / 2

12nc O -24 nc

V = 1 [q1+ q2+q3+ q4] A B

40r 1.3 m

= 9 x 109 x 2 12-24+31+17

1.3

9 x 1.414 x 36 x 10-9

x 109

V =

1.3

V = 352.4 V


4


5. 10 cm ,ilj;njhiytpy; 12 C kw;Wk 8 C vd;w ,U Neh;kpd;Dhl;lq;fs; gphpj;J itf;fg;gl;Ls;sd. ,ilj;njhiyT 6cm Mf ,Uf;FkhW mtw;iw 4 cm njhiyT neUf;fpf; nfhz;L tu nra;a Ntz;ba Ntiyiaf; fzf;fpLf.

[[Pd; - 2008] q1 =12 C; q2 =8C

r1=10 cm vdpy; 9 x 10

9 x q1 q2

Muk;g Mw;wy; Ui = r1

9 x 109 x 12 x 10

-6 x 8 x 10

-6

=

10 x 10-2

= 8.64 J

r2 = 6 cm vdpy; ,Wjp Mw;wy; 9 x 10

9 x 12 x 10

-6 x 8 x 10

-6

Uf =

6 x 10-2

Uf = 14.4J

nra;ag;gLk; Ntiy = W = Uf-Ui

=14.4 – 8.64

W= 5.76 J 6. ,U kpd;Njf;fpfs; njhlhpizg;gpYk; gf;f ,izg;gpYk; ,izf;fg;gl;Ls;sd. ,e;j ,U ,izg;GfspYk; fpilf;Fk; njhFgad; Njf;Fj;jpwd; KiwNa 6 F kw;Wk; 25 F vdpy; mk;kpd;Njf;fpfspd; kpd;Njf;Fj; jpwd;fisf; fzf;fpLf. [nrg; 2008] Cp=25 F Cs = 6 F vdpy; c1 , c2 =?

Cp = c1 +c2

/ c1 +c2 =25 F

C2 =(25 – C1) F

Cs = C1 C2 / C1+C2

C1 C2

=6

C1+C2

C1 C2

=6

25

C1 C2 = 150

C1 (25-C1) = 150

25C1 - C12 = 150

25C1 - C12 -150 = 0

C12 - 25C1 + 150 = 0

(C1 -15)(C1 -10) = 0

C1 = 15 (0r) 10

/C1 =15 F

C2 = 10 F


5


7. Xh; ,izj;jl;L kpd;Njf;fpapd; jfl;bd; gug;G 90 cm

2 mt;tpU jl;LfSk; 2.5 mm ,ilntspapy; gphpj;J itf;fg;gl;Ls;sd. kpd;Njf;fpahdJ 400 V %yj;Jld; ,izf;fg;gl;Ls;sJ vdpy; mjpy; Njf;fpitf;fg;gl;Ls;s epiykpd;dpay; Mw;wy; vt;tsT? [[Pd; - 2009> nrg;lk;gH -13]

A=90 cm2 = 90 x 10

-4 m

2

d=2.5 x 10-3

m

v=400 v

E=?

E= CV2/2

C=0A / d

/ E =1 x 0A x V2

2 d

1 8.854 x 10 -12

x 90 x 10 -4

x 400 x 400

E = x

2 2.5 x 10 -3

= 2.55 x 10 -6

J

8. 20 cm gf;f msTs;s ABC vd;w rkgf;f Kf;Nfhzj;jpd; cr;rpfspy; -2 x 10

-9c, 3 x 10

-9c, kw;Wk; -4 x 10

-9 C Mfpa %d;W kpd;Dhl;lq;fs; itf;fg;gl;Ls;sd. A,B

kw;Wk; C Gs;spfspy; itf;fg;gl;Ls;sd kpd;Dhl;lq;fis KiwNa Kf;Nfhzj;jpd; gf;fq;fspd; ikag;Gs;spfshd A1,B1 kw;Wk; C1-f;F efh;j;j nra;ag;gLk; Ntiyiaf; fzf;fpLf. AB=BC=AC=20 X 10

-2 m A

-2 x 10

-9 C

q1 = -2 x 10-9

C A

1 C

1

q2 = 3 x 10

-9 C

q3 = -4 x 10-9

C

U=?

B B1 C

3 x 10-9

C -4 x 10-9

C Muk;g kpd;dOj;j Mw;wy; Ui = 1 / 40d [q1 q2 + q2 q3+ q3 q1 ]

9 x 10

9 [ ( -2 x 10

-9 x

3 x 10

-9 ) + ( 3 x 10

-9 x

-4 x 10

-9 ) +

Ui = ( -4 x 10-9

x -2 x 10

-9 ) ]

20 x 10-2

9 x 10

9

=

[ ( -6 x 10

-18-12 x 10

-18+8 x 10

-18]

20 x 10

-2

-9 x 109 x 10 x 10

-18


6


Ui =

= 4.5x 10

-7 J

20 x 10-2

A, B, kw;Wk; C - y; cs;s NghJ njhiyT r= 10 x 10-2

m

9 x 109

Uf=

[-10 x 10

-18]

10 x 10

-2

=-9 x 10

-7 J

/U=Uf-Ui = -9 x 10-7

–(-4.5 x 10-7

)

= -(9+4.5) x 10-7

U = -4.5 x 10

-7 J

9. 60cm gf;fq;fs; nfhz;l xU rkgf;f Kf;Nfhzj;jpd; cr;rpfspy; + 1 c , + 3 c

kw;Wk; -5 c kpd;Dl;lq;fs; itf;fg;gl;Ls;sd. ,k;kpd;Dl;lq;fspd; mikg;gpd;

kpd;dOj;j Mw;wiyf; fzf;fpLf.

(March – 2016)

q1 = 1 c ; q2 = 3 c ; q3 = -5 c r = 60 10-2

m. U =?

U = [q1 q2 + q2 q3 + q3q1]

= [ + [3 10-6

(-5 10-6

] + [-5

10-6

1 10-6

]

= [3 10-12

- 15 10-12

- 5 10-12

]

= (-17 10-12

)

U = -0.255 J


7


10. gpd;tUk; Rw;Wtiyapy; A kw;Wk; Gs;spfSf;fpilNaahd njhFgad; kpd;jiliaf; fhz;f. [khh;r; : 2007] A, Bf;F ,ilapy; %d;W xNu khjpupahd kpd;jil njhFg;Gfs; cs;sd xU njhFg;gpd; kpd;jil fhzy; R1,R2 njhlhpizg;gpy; cs;sjhy; Rs1=R1+R2=5+10

Rs1 =15Ω

R3,R4 njhlhpizg;gpy; cs;sjhy; Rs2 = R3+R4

Rs2 = 10+5= 15Ω

Rs1, Rs2 gf;f ,izg;gpy; cs;sjhy; njhFgad; Rp1 = Rs / n = 15 / 2 =7.5 Ω

/AB – f;fpilapy; 7.5 Ω nfhz;l %d;W kpd;jilfs; cs;sd. /njhFgad; kpd;jil Rs = nRp = 3 x 7.5

Rs = 22.5 Ω

11. ,U kpd;jilahf;fpfs; njhlupidg;gpYk;,gf;f,izg;gpYk; cs;s NghJ njhFgad; kpd;jilfs; KiwNa 10Ω , 2.4 Ω vdpy; jdpj;jdpahd kpd;jilfs; vd;d? [khh;r; : 2007,khh;r; : 2010 mf;Nlh-2011> khHr; - 2015]

Rs = 10Ω; RP =2.4 Ω; R1,R2=?

Rs= R1+R2

R1+R2= 10Ω

R2= (10- R1)Ω

RP = R1 R2 / R1+R2

R1R2 / R1+R2 = 2.4

R1R2 / 10 =2.4

R1R2=24

R1 (10-R1)=24

10R1– R12

-24=0

R12

– 10 R1+24=0

(R1-6) (R1-4)=0

R1= 6 or 4

/ R1= 6 Ω ; R2= 4 Ω

12. 10-6

m2 FWf;Fntl;Lg;gug;G nfhz;l jhkpuf;fk;gpapy; 2 A kpd;Ndhl;lk;

gha;fpwJ. flj;jpapy; xuyF gUkdpy; cs;s vyf;l;uhd;fspd; vz;zpf;if 8 x 10 28

vdpy; kpd;Ndhl;l mlh;j;jp kw;Wk; ruhrhp ,Og;Gj;jpirNtfk; Mfpatw;iwf; fzf;fpLf.( e=1.6 x 10

-19 c)

[khh;r; : 2009] A=10

-6 m

2 ; I=2A; n=8 x 10

28;e=1.6 x 10

-19 c

J=? vd=?

J=I / A =2 / 10-6

=2 x 106A m

-2

J 2 x 106

vd= =

n.e 8 x 1028

x1.6x10-19

=0.156 x 10-3

vd

=1.56 x 10

-4 ms

-1


8


13. glj;jpy; fhl;bAs;sgb %d;W kpd;jilahf;fpfs; 10 v kpd;dOj;j NtWghl;Lld; njhluhf ,izf;fg;gl;Ls;sd. xt;nthU kpd;jilahf;fpf;Fk; ,ilg;gl;l kpd;dOj;j NtWghLfisf; fzf;fpLf. [[Pd; - 2010 khh;r; : 2012]

R1,R2,R3 njhluhf ,izf;fg;gl;Ls;sjhy; Rs= R1+R2+R3

= 5+3+2 = 10 Ω

/ Rw;wpy; ghAk; kpd;Ndhl;lk; I=v/ Rs=10/10 = 1 A

/ R1-f;F FWf;Nf kpd;dOj;jNtWghL v1 =I R1 = 1 x 5 =5 V

R2 -f;F FWf;Nf kpd;dOj;jNtWghL v2 =I R2= 1 x 3 =3 V

R3 -f;F FWf;Nf kpd;dOj;jNtWghL v3 =I R3 = 1 x 2 =2 V.

14. 10 x 10-6

m2 FWf;Fg;gug;Gila jhkpuf;flj;jpapy; 2 A kpd;Ndhl;lk; epfOk;

NghJ vyf;l;uhdpd; ,Og;Gj;jpirNtfk; vd;d? flj;jpapy; 10 x 1028

vyf;l;uhfd;fs; / kP 3 ,Ug;gjhf fUJf? [khh;r; : 2009] A = 10 x 10

-6 m

-2 ; I=2A; n=10 x 10

28 vyf;l;uhd;fs; / kP3

vd = ?

I = n A e Vd

Vd = I / n A e

= 2 / [10 x 1028

x 10 x 10-6

x 1.6 x 10-19

]

Vd = 1.25 x 10-5

ms-1

15. gf;f ,izg;gpy; cs;s 3 Ω,5 Ω , kw;Wk; 2Ω kpd;jilahf;fpfs; 15 v kpd;dOj;j NtWghl;Lld; ,izf;fg;gl;Ls;sd. xt;nthd;wpd; topNa nry;Yk; kpd;Ndhl;lj;ijf; fzf;fpLf. NkYk; njhFgad; kpd;jilAk; nkhj;j kpd;Ndhl;lj;ijAk; fhz;f [mf;Nlh-2010> khHr;-2015] R1= 3 Ω ; R2= 5 Ω; R3= 2 Ω

V=15 v

I1,I2,I3 =?

nkhj;j kpd;Ndhl;lk; I =?

njhFgad; kpd;jil=?

R1-topNa ghAk; kpd;Ndhl;lk; I1 = V / R1 =15/3 = 5A

R2-topNa ghAk; kpd;Ndhl;lk; I2 = V / R2 =15/5 = 3A

R3-topNa ghAk; kpd;Ndhl;lk; I3 = V / R3 =15/2 = 7.5A

/ nkhj;j kpd;Ndhl;lk; I = I1+I2+I3

= 5+3+7.5=15.5A

njhFgad; kpd;jil R = V / I =15 / 15.5

= 0.967 Ω

16. kPl;lh; rkdr;Rw;wpy; ,lJ gf;f ,ilntspapy; 10 Ω

kpd;jil cs;sNghJ rkdPl;L ePsk; 51.8 cm Mf cs;sJ. 108 cm ePsKk; 0.2 kp.kP MuKk; cilia fk;gpapd; kpd;jiliaAk; jd;kpd;jil vz;izAk; fzf;fpLf. [mf;Nlh-2010 [Pd; - 2010] P = 10 Ω

l1 = 51.8cm


9


l2 = 48.2cm

Q = ?

Q / P = l2 / l1

Q = P. l2 / l1 = 10 x 48.2 / 51.8

Q=9.3 Ω

L = 108 cm = 1.08m

r = 0.2 x 10-3

m = 2 x 10-4

m.

=?

= Q.A / L =>Q. r2

/ L

9.3 x 3.14 x (2 x 10-4

)2

=

1.08

= 1.082x 10-6

Ωm

17. 400 W jpwd;nfhz;l xU kpd;ryitg; ngl;b jpdKk 30 epkplq;fSf;Fg; gad;gLj;jg;gLfpwJ. xU Adpl; jpwDf;fhd fl;lzk; 75 igrh vdpy; ryitg;ngl;bia xU thu fhyk; gad;gLj;jpdhy; Vw;gLk; nryitf; fzf;fpLf.

[[Pd; - 2012] P=400 W; t=1/2 kzp. 1 Adpl;Lf;F kpd;fl;lzk; = 75 igrh 1 thu fhyk; MFk; nryT = ?

xU ehisf;F nrytplg;gLk; Mw;wy; = P x t

= 400 x 1 / 2

=200 w h

W =0.2 k wh

W =0.2 A+dpl; 7 ehisf;F nrytplg;gLk; Mw;wy =7 x 0.2

=1.4 A+dpl; 1 A+dpl;Lf;F 75 igrh vdpy 1.4 A+dpl;Lf;F 1.4 x 75 = 105 igrh ( Or) 1 U_ 05 igrh

18. fk;gpr;RUs; xd;wpd; kpd;jil 20º C y; 50 Ω vdTk;> 70º C y; 65 Ω vdTk; mstplg;gLfpwJ. kpd;jil ntg;gepiy vz;izf; fzf;fpLf. t1= 20º C; R1= 50 Ω, t2 = 70º C R2= 65 Ω α =? [[Pd; 2013] α = R2-R1

R1t2-R2 t1

= 65-50 = 15

(50x70) – (65x20) 3500-1300

= 15 = 0.0068 / º C

2200


10


19. 100 Rw;WfSk;,20 cm MuKk; nfhz;l fk;gpr;RUs; topNa 5 A kpd;Ndhl;lk; gha;fpwJ, 20 cm njhiytpy; fhe;j Jhz;lypd; kjpg;gpidf; fhz;f?

[khh;r; : 2006 mf;Nlhgh;-2006 khh;r; : 2009> [Pd; - 15] n =100 Rw;Wfs;

a = 20 x 10-2

m

I = 5 A

x = 20 x 10-2

m

B =?

n0 Ia2

B =

2(a2

+ x2 )

3 / 2

102 x4 x 3.14 x 5 x 4 x10

-2 x10

-7

=

2(4 x 10

-2 4 x 10

-2) 3 / 2

4 x 3.14 x 10-6

4 x 3.14 x 10-6

= =

(8x 10

-2)

3 / 2 162 x 10

-3

= 0.555 x 10-3

B = 5.55 x 10

-4 T

20. 500 Rw;WfSk; 6 x 10-4

m2 FWf;Fg;gug;Gk; nfhz;l nrt;tf fk;gpr;RUs;

10-4

T fhe;jJhz;ly; nfhz;l Mutpay; fhe;jGyj;jpy; njhq;ftplg;gLfpwJ. njhq;ftplg;gl;l fk;gpr;RUspd; KWf;Ftpir khwpyp 5 x 10

-4 N m / bfphp vdpy; 10

tpyfiy Vw;gLj;Jk; kpd;Ndhl;lj;ijf; fzf;fpLf. [[Pd; - 2006 mf;Nlhgh;-2009 > khh;r; 2013> nrg; - 2015] N = 500; A=6 x 10

-4 ; B=10

-4 T

C = 5 x 10-10 Nm / bfpup;; =10

I=?

I = C / NBA

5 x 10-10

x10 10-3

= =

5 x 102x6 x 10

-4x10

-4 6

I = 0.166 mA

21. 20 Ω kpd;jil nfhz;l fhy;tdhkPl;lh; xd;W 50 mA kpd;Ndhl;lj;jpw;F KOtpyfiyf; nfhLf;Fk;. (i) 20 A msf;Fk; mk;kPl;luhf (ii) 120 V msf;Fk; Nthy;l; kPl;luhf vt;thW khw;wyhk;. [khh;r; : 2007,khh;r; : 2009> [Pd; : 2013> khHr; - 2015] G = 20 Ω; Ig = 50 mA;

(i) 20 A msf;Fk; mk;kPl;luhf khw;w I = 20 A = 20000 mA

S = Ig G

I-Ig

a2 = 4 x 10

-2

x2 = 4 x 10

-2


11


50

= 20

20000-50

50

= x 20

19950

S = 0.05 Ω / 0.05 Ω kpd;jilia gf;f ,izg;gpy; ,izf;f Ntz;Lk;

(ii) 120 v msf;Fk; Nthy;l; kPl;luhf khw;w V=120 R=?

V

R= Ig -G

= 120 -20

50 X10-3

= (120000 / 50 ) -20 =2400 - 20

R =2380 Ω

/ 2380 Ω kpd;jilia njhlhpidg;gpy; ,izf;f Ntz;Lk;.

22.. kpd;Ndhl;lk; ghAk; ePz;l Neh;f;flj;jpapypUe;J 15 cm njhiytpy; Vw;gLk; fhe;j Jz;lypd; kjpg;G 4 x 10

-6 T vdpy; flj;jpapd; kpd;Ndhl;lj;ijf; fzf;fpLf.

[mf;Nlhgh;-2007] a=15 x 10

-6 m; B=4 x 10

-6 T; I=?

B=2 x10-7

x I / a

/ I= B x a / 2 x 10-7

=4 x 10-6

x15 x 10-2

/ 2 x 10-7

I=3A

23. i`l;u[d; mZtpd; vyf;l;uhd; 0.5 A Muk; nfhz;l ghijapy; tpdhbf;F 1016 Rw;Wfis Vw;gLj;JfpwJ tl;lg;ghijapd; ,af;fj;jpdhy; vyf;l;uhd; ngUk; fhe;jjpUg;j;jpwidf; fzf;fpLf. [[Pd; - 2008] Muk; r= 0.5 x 10

-6m

n=1016

Rw;Wfs; / tpdhb.

e=1.6 x 10-19

c

l=?


12


l = I/A

I=e/T =e.n

A=r-2

/l =en x r-2

1.6 x 10-19

x 1016

x 3.14 x (0.5 x 10-10

)2

l = 1.256x10-23

Am-2

24. fhw;wpy; 10 cm ,ilntspapy; 5 kP ePsKs;s ,Uflj;jpfs; ,izahf itf;fg;gl;Ls;sd. ,uz;bYk; xNu mstpyhd kpd;Ndhl;lk ;xNu jpirapy; ghAk;NghJ 3.6 x 10

-4 N fth;r;rp tpir nray;gl;lhy; flj;jpapy; ghAk; kpd;Ndhl;lk;

ahJ? [mf;Nlhgh;-2009 [Pd; - 2010] a = 10 x 10

-2m; l=5m; F=3.6 x 10

-2 N

I1 = I2 = I =?

2 x 10-7

x I1I2

F = x l a

2 x 10-7

x I2

x l

F = a

F x a

/ I2

=

2 x 10-7

x l

3.6 x 10-4

x10x10-2

=

2 x 10-7

x 5

I2

= 36

I = 6A

25. xU fhy;tdhkpl;lhpd; kpd;jil 40 Ω. ,J 2m A kpd;Ndhl;lj;jpw;F KOtpyfiyf; nfhLf;Fk;. ,jid 0 tpypUe;J 20 V tiuapyhd kpd;dOj;jj;ij msf;Fk; Nthy;l; kPl;luhf vt;thW khw;wyhk;? [mf;Nlhgh;-2010] G = 40 Ω; Ig = 2 x 10

-3A; V = 20V

R=?

V

R = -G

Ig


13


20

= - 40

2 x 10-3

20000 - 40

= 2

= 10000-40

R = 9960 Ω

/ 9960 Ω kpd;jilia njhlhpizg;gpy; ,izf;fNtz;Lk;

26. ,uz;L ,izahd <wpy;yh Neh;f;flj;jp topNa xNu mstpyhd kpd;Ndhl;lk; nrYj;jg;gLfpwJ. flj;jpfSf;fpilNa njhiyT 20 cm. xuyF ePsj;jpw;F fk;gpfSf;fpilNa nray;gLk; fth;r;rp tpir 4.9 x 10

-5 N vdpy; ghAk;

kpd;Ndhl;lj;ijf; fzf;fpLf. [mf;Nlhgh;-2011] F = 4.9 x 10

-5 N; a=20 x 10

-2 m ; l=1m

I1 = I2= I=?

F = 2 x 10-7

x I1I2 xl

a

F = 2 x 10-7

x I2

x l

a

F x a

l2

=

2 x 10-7

x l

4.9 x 10-5

x20 x 10-2

=

2 x 10-7

x 1

l2 = 49

I = 7A

27. xU fhy;tdh kPl;lUld; 12 Ω kpd;jil gf;f ,izg;gpy; ,izf;fg;gLk; NghJ fhl;Lk;tpyfy; 50 gphpTfspy; ,Ue;J 10 gphpTfshf FiwfpwJ. fhy;tdhkPl;lhpd; kpd;jil vd;d? [nrg; 2012] S=12 Ω; =50 gphpTfs;

g =10 gphpTfs; G=? G = s I α

-g

/G= s

g


14


50 – 10

= x 12

10

40

= x 12

10

G = 48

28. 30 cm tpl;lKk;> 5 Rw;WfSk; nfhz;l NlQ;rz;l fhy;thdh kPl;lH

topNa 4A kpd;Ndhl;lk; nrYj;jg;gLfpwJ. Gtpf;fhe;jg;Gyj;jpd;

fpilj;jsf; $wpd; kjpg;G 4x10-5

T vdpy;> Vw;gLk; tpyfy; kjpg;igf;

fzf;fpLf. [khHr; 14] jfty; :-

2a = 30x10-2

m; n=5; I = 4A;

Bh = 4x10-5

T; =?

I = x tan

tan =

=

= =

tan = 2.093

= 2.093

= 64o28’

29. 20 cm X 10 cm gug;G nfhz;l fk;gpr;RUs; 100 Rw;Wfisf; nfhz;Ls;sJ.

5x10-3

T fhe;jJz;ly; nfhz;l fhe;jg;Gyj;jpy; njhq;ftplg;gLfpwJ. 1mA

kpd;Ndhl;lj;jpw;F 15o tpyfiyf; fhl;bdhy; fk;gpr;RUs; njhq;ftplg;gl;l

fk;gpapd; KUf;F tpir khwpypiaf; fzf;fpLf [[Pd; - 14]

A = 20 cm X 10 cm

B = 5x10-3

T

I = 1mA


15


C = ?

I =

C =

=

= 0.66x10-6

C = 6.6x10-7

Nm/degree

(Or) 381.7x10-7

= 3.81x10-5

Nm/radian

30. xU Nld;[d;l; fhy;thdh kPl;lupy; 1A kpd;Ndhl;lk; 30o tpyfiy jUfpwJ vdpy; 60

o tpyfiy cz;lhf;Fk; kpd;Ndhl;lj;ijf; fzf;fpLf [nrg; -14] I1 = 1A, θ1 = 30

o, θ2 = 60

o, I2 = ?

I

=

I2 =

I2 =

I2 =

I2 = 3A

31. irf;Nshl;uhdpd; Bf;fspd; gug;gpw;F nrq;Fj;jhf 0.5 T fhe;j Jz;ly; nfhz;l fhe;jg;Gyk; nrYj;jg;gLfpwJ. GNuhl;lhd;fis KLf;fj; Njitahd miyapaw;wpapd; mjpHntz;izf; fzf;fpLf.

(GNuhl;lhd;fspd; epiw mp =1.67x10-27

kg) (Sep – 15)

B = 0.5 T; mp = 1.67x10-27

kg q = 1.6 x 10-19

c

mjpHntz; = ?


16


32. xU khWjpir kpd;Ndhl;l kpd;dpapaw;wp 10,000 Rw;WfisAk; 100 cm2

gug;gsitAk; nfhz;Ls;sJ. 3.6 x 10-2

T msTs;s rPuhd fhe;jg;Gyj;jpy; fk;gpr;RUshdJ 140 rpm Nfhzj;jpirNtfj;jpy; Roy;fpwJ. Jhz;lg;gLk;; kpd;dpaf;F tpirapd; ngUk kjpg;ig fhz;f. [[Pd; - 2009] N =10

4 Rw;Wfs;;;;;;;; A=100 cm2

A=100 x 10-4

m2

B = 3.6 x 10

-2 T

γ=140 rpm

E0 = N A B = NAB x 2πγ =140 / 60 rps

E0 =104 x100 x10

-4 x3.6 x 10

-2 x2 x3.14x140/60

E0 = 52.752 v

33.nts;nshsp Xd;W xsptpyfy; vz; 1.33 nfhz;l xU Nrhg;G glyj;jpd; kPJ 30

Nfhzj;jpy; gLfpwJ. vjpnuhspg;Gfjpiu epwkiykhzp nfhz;L Muha

6000Å ∙ miyePsj;jpw;Fhpa fUk;gl;il njhpfpwJ vdpy; Nrhg;G glyj;jpd; kpfr;rpwpa jbkd; vd;d? [mf;Nlhgh;-2007> nrg; -2013] µ=1.33; i=30; n=1

=6000 x 10-10

m; t=?

fUk;gl;il vdpy; 2 µtcosr=n

t=n / 2 µcos r

µ=sin i / sin r

sin i sin30

sinr = = =0.3759 r= sin -1

0.3759

µ 1.33 r = 22o4’

1 x 6000 x 10-10

t =

2 x 1.33 x cos 224

6000 x 10-10

t =

2 x 1.33 x 0.9267

t = 2.434x10-7

m


17


34. aq;Nrhjidapy; 6 X 1014

HZ mjph;ntz; cila xspgad;gLj;jg;gLfpwJ. mLj;jLj;j ,U gl;ilfspd; ikaq;fSf;F ,ilg;gl;l njhiyT 0.75 kp.kP, 1.5m. njhiytpy; jpiu,Ug;gpd; gpsTfSf;F ,ilg;gl;l njhiytpidf; fzf;fpLf. [mf;Nlhgh;-2007> nrg;lk;gH -14> [Pd; -15] = 6 X 10

14 HZ; = 0.75 X 10

-3m

D = 1.5 m d = ?

= D /d [ = c / ]

= C D / .d

/ d = C D / .

3 x 1 08 x1. 5

=

6 x1014

x0.75 x 10-3

d

= 1 x 10

-3 = 1m m

35. 1 cm mfyj;jpy; 5000 NfhLfs; tiuag;gl;l tpspk;GtpisT fPw;wzpapd; kPJ Xhpay; %yj;jpy; ,Ue;J ,izf;fw;iw xspahdJ Fj;jhf gLk;gb itf;fg;gLfpwJ. ,uz;lhk; thpir gpk;gk; 30 Nfhzj;jpy; Vw;gl;lhy; xspapd; miyePsj;ij fzf;fpLf [khh;r; : 2008,khh;r; : 2010, [Pd; - 2012> [Pd; - 15]

N = 5000 NfhLfs; / nr.kP = 5 x 105 NfhLfs; / kP

m = 2 = 30 = ?

sin = Nm

= sin / Nm

= =

= 0.5 x 10-6

= 5000 x 10

-10 m

= 5000 A

36. xsptpyfy; vz; 1.33 cila ePhpd; kPJ 5893 A miyePsKila xw;iw epw xsp gLfpwJ. ePhpDs; xspapd; jpirNtfk;, mjph;ntz; kw;Wk; miyePsj;ijf; fzf;fpLf.

[mf;Nlhgh;-2008,khh;r; : 2011] = 4 / 3

= 5893 A

ePhpy;; jpirNtfk; Cw = ? w = ? = ?

Cw = C /

3 x 108

=

4 /3

9

Cw = x 108

4


18


= 2.25 x 108 ms

-1

w = / 5893 x 10

-10

=

4 /3

5893 x 10-10

x 3

=

4

= 4419.75 x 10-10

m

= C /

3 x 108

= [ ePhpy; mjph;ntz; = fhw;wpy;

5893 x 10

-10 mjph;ntz;] = 5.09 x 10

14 HZ

37. ePA++l;ld; tisar; Nrhjidapy; 20 -tJ fUik tisaj;jpd; tpl;lk; 5.82 mm, kw;Wk; 10-tJ fUik tisaj;jpd; tpl;lk; 3.36 mm vd mstplg;gLfpwJ. jl;lf;Ftpnyd;rpd; tisT Muk; 1 kP vdpy; xspapd; miyePsj;ij fhz;f. [khh;r; : 2010> khHr; -14> nrg; - 15] d20 = 5.82 x 10

-3m ; d10 = 3.36 x 10

-3m

n + m = 20; n = 10; m = 10 ; R = 1 m

= ?

d2

n+m - d2

n d2

20 - d210

= =

4mR 4mR

(5.82 x 10-3

)2

- (3.36 x 10-3

)2

=

4 x 10 x 1

(5.82 +3.36)

(5.82-3.36 )x 10-6

=

40

= 9.18 x 2.46 x 10-6

/40

= 0.56457 x 10-6

= 5.645 x 10-10

m

= 5645 A

38. rkjs tpspk;GtpisTf; fPw;wzp xd;wpy; 5000 NfhLfs; / cm cs;sd> ,uz;lhk; thpir tpspk;G tpistpy; 7070Å miyePs rptg;G epw thpf;Fk; > 5000ÅmiyePs ePy epwthpf;Fk; ,ilNaahd Nfhzepwg;gphpifiaf; fzf;fpLf. [[Pd; -2013] N = 5000 NfhLfs; / cm (or) N = 5x10

5 NfhLfs;


19


m = 2> λR = 7070 Å; λV = 5000 Å

R – v = ?

Sin = Nm λ

Sin R = 5x105 x 2x7070x10

-10

Sin R = 0.707 =

R =450

Sin v = 5x105x2x5000x10

-10

Sin v = 0.5 =

v = 30 º

R – v = 45 º -30 º

R – v = 150

39. jstpisT khdpapy; 60 CC rh;f;fiuf; fiury; 300 mm ePsk; nfhz;l Nrhjidf; FohapDs; itf;fg;gLk; NghJ 9º Row;wg;gLfpwJ. Row;r;rpj;jpwd; vz; 60o vdpy; fiurypy; cs;s rh;f;fiuapd; msT vd;d? l=300 mm = 3dm [[Pd; -2013]

v=60 CC, = 9º, S=60º, m =?

s = =

s =

m = = = 3g

40. 3 m MuKs;s jl;lf;Ftpnyd;rhdJ jl;ilahd fz;zhbj; jfl;bd; kPJ itf;fg;gl;L xw;iw epw xspapdhy; xspA++l;lg;gLfpwJ. 8-tJ fUik tisaj;jpd; Muk; 3.6 mm vdpy; xspapd; miyePsk; vd;d ? [khh;r; : 2011] R= 3 m; r8=3.6 x 10

-3m ; n=8;

= ?

= r2n / nR

3.6 x 3.6 x 10-6

=

8 x 3

= 0.54 x 10-6

=5400 x 10-10

m

= 5400 A


20


41. epA+l;ld; tisa Ma;tpy; Fwpg;gpl;l tupirapy; cs;s fUik tisaj;jpd; tpl;lk; ,uz;lhtJ tisaj;jpd; tpl;lj;ij tpl ,uz;L klq;F mjpfk; vdpy; me;j tisaj;jpd; tupir vz; vd;d? [[Pd; - 14]

dn = 2d2

n = ?

=

=

=

n = 8

42. aq; ,ul;ilg;gpsT Ma;tpy; ,uz;L Xupay; %yq;fspd; nrwpTfspd;

jfT 64:1 ,jdhy; jpiuapy; FWf;fPl;L gl;ilfs; Njhd;Wfpd;wd. ngUk

kw;;Wk; rpWk nrwptpw;fhd jfT fhz;f [nrg; - 14]

= 64:1 vdpy;

I ngUkk; I rpWkk; = ?

I a2

/ =

= = =

a1= 8a2

=

= =

I ngUkk; I rpWkk; = 81: 49


21


43. aq; ,ul;ilg; gpsTr; Nrhjidapy; ,U Xhpay; %yq;fspd; nrwpTfs; tpfpjk;

81:1 vdpy; ngUk kw;Wk; rpWkr; nrwpTfspd; tpfpjk; vd;d? (Oct . 2016)

= 81 : 1

= ?

I 1 a12

I2 a22

=

= = = 9

a1 = 9 a2

= =

= =

Imax : Imin = 25:16

44. ghkh; thpirapd; ,uz;lhtJ thpapd; miyePsk; 4861 A mjd; Kjy; thpapd; miyePsj;ijf; fzf;fpLf. [khh;r; : 2007]

2= 4861 A 1 = ?

ghkh; ,uz;lhtJ thp vdpy; n1 =2; n2 =4

2 = R = R

= R

4 – 1 R

= 16 = 3R / 16

ghkh; Kjy; thp vdpy; n1 =2; n2 = 3

1 = R = R

1


22


= R

9 – 4 R

=

36

1/ 1 = 5 / 36 R 1/ 2 = (3R / 16) x (36 / 5 R) 1/ 2 =27 /20

1=(27 /20) x 2

1=(27 /20 )x 4861 A

1= 6562 A

45. gpuhf; epwkhiykhdpapy; Kjy; thpir gpk;gj;jpw;fhd rha;Nfhzk; 8 , d- d; kjpg;G 2.82 x 10

-10m, vdpy; x – fjphpd; miyePsj;jpd; kjpg;G vd;d? ,uz;lhtJ

ngUkj;jpd; rha;Nfhzj;jpd; kjpg;G ahJ ? [[Pd; - 2007] 1 = 8 ; d= 2.82 x 10

-10m; n=1

= ?

2d sin = n

2d sin

=

n

2 x 2.82 x10-10

x sin 8

=

1

= 2 x 2.82 x10-10

x0.139

= 0.7849 x 10-10

m

n = 2 vdpy; 2 = ?

2d sin 2 = n

sin 2 = n / 2d

2 x 0.7849 x10-10

=

2 x 2.82 x10-10

sin 2 = 0.2783

2 = sin-1

0.2783

= 16 9

2

1 2


23


46. My;gh Jfs; xd;W 4 Mev Mw;wYld; jq;f mZf;fU xd;wpid Nehf;fp nrYj;jg;gLfpwJ. – Jfs; milAk; kPr;rPW njhiytpidf; fzf;fpLf. [khh;r; : 2008] (Z = 79 ; - Jfspd; mZvz;:2) K.E = 4 x 10

-6 x 1.6 x 10

-19 J Z=79 r0 = ?

18 x 109x Ze

2

r0 =

K.E

18 x 10

9 x 79 x 1.6 x 10

-19x1.6 x 10

-19

r0 =

4 x 106 x 1.6 x 10

-19

= 568.8 x 10

-16

r0 = 5.688 x 10

-14 m

47. 3.4 x 104

v / m kpd;GyKk; 2 x 10-3

T fhe;jg;GyKk; xNu Neuj;jpy; xd;Wf;nfhd;W nrq;Fj;jhf nray;gLk; gFjpapd; vyf;l;uhd; fw;iw gha;fpwJ. vyf;l;uhd; fw;iwapd; ghij khwhky; ,Ue;jhy; vyf;l;uhdpd; Ntfj;ijf; fzf;fpLf. kpd;Gyk; ePf;fg;gl;lhy; vyf;l;uhd; nry;Yk; ghijapd; Muk; vd;d ?

[mf;Nlhgh;-2011] E = 3.4 x 10

4 v / m ; B = 2 x 10

-3 T

V = ? r = ?

V = E / B

3.4 x 104

=

2 x 10-3

V = 1.7 10+7

ms-1

BeV = mv

2 / r

Be = mv / r

r = mv / Be

9.11 x 10-31

x 1.7 x107

=

2 x 10-3

x1.6 x 10-19

r = 4.839 x 10-2

m

48. ,uhf;nfl; xd;wpd; ePsk; xa;T epiyapd; cs;s ePsj;jpy; 99 % Mf mika Ma;thsh; xUtiug; nghUj;J uhf;nfl; vt;tsT Ntfj;jpy; nry;y Ntz;Lk; ? [mf;Nlhgh;-2007, [Pd; - 2011,khh;r; : 2012> [Pd; -14]

99

l = lo vdpy; v= ?

100

l = lo 1-v2 / c

2

99

lo= lo 1-v2 / c

2


24


100

0.99 = 1-v2 / c

2

(0.99)2 = 1-v

2 / c

2

(c2-v

2) / c

2 = 0.99

2

c2-v

2 = (0.99c)

2

v2

= c2 -0.9801 c

2

= c2

(1-0.9801)

v2

= 0.0199 c2

v = 0.141 c

= 0.141 x 3 x 108

v = 0.423 x 108 ms

-1

49. xU Jfs; xd;wpd; epiwahdJ mjd; xa;T epiwiag;Nghy %d;W klq;F vdpy; Jfs; ,aq;Fk; jpirNtfk; vd;d? [mf;Nlhgh;-2008> nrg;lk;gH -14> [Pd; 15] m = 3 m0

v = ?

m0

m = 1 -v

2 / c

2

m0

3 m0 =

1 -v2 / c

2

3 1 -v2 / c

2 = 1

9(1 -v2 / c

2) = 1

9 (c2-v

2) = c

2

9c

2 - 9v

2 = c

2

9v

2 = 9c

2 - c

2

9v

2 = 8c

2

v2

= 8 / 9 c2

v = 22 / 3 c

= 22 x 3 x 108

/ 3

v = 22 x108 ms

-1

v =2.828

ms

-1


25


50. xa;T epiyapy; cs;s Ma;thsuhy; fzf;fplg;gLk; fhy ,ilntsp 2.5 x 10

-8 s v=0.73c vd;w jpirNtfj;jpy; ,aq;Fk; Ma;thsuhy; fzf;fplg;gLk;

fhy ,ilntspahJ ? [[Pd; - 2009] to = 2.5 x 10

-8 s

v = 0.73c

t = ?

t = to / 1 -v2 / c

2 t =

v2

/ c2

= 0.5329 c2 / c

2

1 -v2 / c

2 = 1 - 0.5329 = 3.658x10

-8 s

1 -v2 / c

2=0.4671

1 -v2 / c

2 = 0.4671 = 0.6834

t = t0 / 0.6834

51. ,Uk;gpd; ntspNaw;W Mw;wy; 4.7 eV ,jw;fhd ntl;L mjph;ntz; kw;Wk; ntl;L miyePsk; Mfpatw;iwf; fzf;fpLf.[[Pd; - 2009,khh;r; : 2012] w = 4.7 e v

w = 4.7 x 1.6 x 10-19

J o = ? o =?

w = h o

o = w / h

4.7 x 1.6 x 10-19

=

6.626 x 10-34

o = 1.134 x 1015

o = c / o

3x 108

=

1.134 x 1015

= 2.645 x 10-7

o = 2645 A

52. cNyhfg;gug;G xd;W 3333 A miyePs xspahy; xspA++l;lg;gLk; NghJ mJ 0.6 eV tiu Mw;wy; nfhz;l vyf;l;uhd;fis ntsptpLfpd;wJ. cNyhfj;jpd; ntspNaw;W Mw;wiyf; fzf;fpLf. [mf;Nlhgh;-2009, [Pd; - 2012> khh;r; : 2013] = 3333A

K.E = 0.6 e v

w = ?

h = w + k.E

w = h -k.E

w =( h.c / ) - k.E


26


6.626 x 10-34

x 3 x 108

= - 0.6

3333 x 10-10

x 1.6x 10-19

w = 3.727 – 0.6

w = 3.127 eV

53. xspapd; jpirNtfj;jpy; 0.9 gq;F Ntfj;jpy; nry;Yk; GNuhl;lhd; xd;wpd; ,af;f Mw;wiy [Py; kw;Wk; Mev -y; fhz;f. [khh;r; : 2011] v = 0.9 c; mo = 1.67 x 10

-27 kg, (m- mo)c

2 = ?

m = mo/ 1 -v2 / c

2

1.67 x 10-27

=

1- 0.81 c2 / c

2

1.67 x 10

-27 1.67 x 10

-27

= =

1- 0.81 0.19

mo = 3.831 x 10-27

kg

m - mo = (3.831 x 10-27

-1.67 x 10-27

)

= 2.161 x 10-27

(m - mo) c2

= 2.161 x 10-27

x 9 x 1016

(m - mo) c2

= 19.449 x10-11

J

19.449 x 10-11

E =

1.6 x 10-19

= 12.155 x10-11

x 10-19

ev

= 12.155 x108

E = 1215 MeV

54. 120 eV ,af;f Mw;wy; nfhz;l vyf;l;uhdpd; b – gpuhyp miy epsk; ahJ?

[mf;Nlhgh;-2012] k.E = 120 eV vdpy; v = 120 V

= ?

= (12.27 / v) A

= (12.27 / 120) x 10-10

= (12.27 / 10.95) x 10-10

= 1.12 x 10-10

m

= 1.12 A


27


55. vyf;l;uhdpd; Xa;T epiw 9.1x10-31

Kg xspapd; jpirNtfj;jpy; 4/5 gq;F

jpirNtfj;jpy; ,aq;Fk;NghJ mjd; epiw ahJ [[Pd; - 14]

m = 9.1x10-31

Kg

=

m = ?

m =

=

=

=

=

=

=

m = 15.16x10-31

Kg.

56. 10

5 ms

-1 Ntfk; nfhz;l vyf;l;uhdpd; bgpuhyp miyePsj;jpidf; fzf;fpLf

(Sep – 15)

(jfty; m = 9.1x10-31

kg; h = 6.626x10-34

JS)

m = 9.1x10-31

Kg

h = 6.626x10-34

Js

ms-1

=

= 0.728x10-8

72.8 A

O


28


57. njhy;nghUspapy; $lj;jpy; ,Ue;J ngwg;gl;l Xh; vYk;Gj;jz;L epkplj;jpw;F 15 rpijTfisj; jUfpd;wJ. mNj Nghd;w Gjpa vYk;Gxd;W epkplj;jpw;F 19 rpijTfisj; jUfpd;wJ. khjphpapd; taijf; fzf;fpLf. [mf;Nlhgh;-2011, khh;r;; - 2006> nrg;;lk;gH – 13> khHr; - 14] [ T1/2= 5570 Mz;Lfs; ]

N = 15 rpijTfs; / tpehb T1/2=0.693 / N0 = 19 rpijTfs; / tpehb t = ?

N = N0 e- t

N / N0 = e- t

N0 / N = e t

loge(N0 / N) = t

t= loge = x2.303x loge

t= x 2.303 x log 1.266

5570

t = x 2.303 x .1026

0.693

t = 1899 Mz;Lfs;

58. 1 fp.fp msTs;s 92U 235 gpsTWk; NghJ ntspg;gLk; Mw;wiyf; fzf;fpLf. xU gpsitf;fhd Mw;wy; 200 Mev vdf; nfhs;f. mtfl;Nuh vz; = 6.023 x 1023

cdJ tpilia fpNyhthl; kzpapYk; jUf. [khh;r; : 2006. nrg; - 13]

xU gpsitf;fhd Mw;wy; = 200 Mev = 200 x106 x1.6 x10-19 J = 3.2 x 10-11 mtfl;Nuh vz; N = 6.023 x 1023

1 kg 92U 235 gpsTWk; NghJ ntspg;gLk; Mw;wy; = ? 235 g 92U 235 - cs;s mZf;fspd; vz;zpf;if = 6.023 x 1023

vdpy; 1000 g ( or ) 1 kg 92U 235 – y; cs;s mZf;fspd; vz;zpf;if = 6.023 x 1023 x 1000 235 1 kg 92U 235- gpsTWk; NghJ ntspg;gLk; Mw;wy; = 6.023 x 1026 x 3.2 x 10-11 235 E = 8.2016 x1013J

1 k w h = 3.6 x 106J

8.2016 x1013 E = = 2.2782 x 107 k w h

3.6 x 106


29


59. ,U 1H

2 mZf;fUf;fs; ,ize;J xU 2He4 mZf;fU cUthFk; NghJ ntspg;gLk; Mw;wiyf; fzf;fpLf. nfhLf;fg;gl;lit 1H

2 kw;Wk; 2He 4 Mfpatw;wpd; xU mZf;fUj;JfSf;fhd gpizg;G Mw;wy;fs; KiwNa 1.1 Mev kw;Wk; 7.0 Mev MFk;

[[Pd; - 2006,mf;Nlhgh;-2012] 1H

2-d; xU fUj;JfSf;fhd gpizg;G Mw;wy; = 1.1 Mev

2He 4 -d; xU fUj;JfSf;fhd gpizg;G Mw;wy; = 7 Mev

21H2

2He 4 + Q

ntspg;gLk; Mw;wy; Q = ?

1H2-d; xU fUj;JfSf;fhd gpizg;G Mw;wy; = 1.1 Mev

1H2-d; nkhj;j gpizg;G Mw;wy; = 2 x 1.1 Mev

= 2.2 Mev

2He 4-d; xU fUj;JfSf;fhd gpizg;G Mw;wy; = 7 Mev

2He 4d; nkhj;j gpizg;G Mw;wy; = 4 x 7=28 Mev 21H

2 2He 4 + Q

2 x 2.2 28 + Q

4.4 28 + Q

/Q = 28 – 4.4

Q = 23.6 Mev 60. xU mZf;fU ciy 32 MW vd;w tPjj;jpy; Mw;wiy cw;gj;jp nra;fpd;wJ, vdpy; xU tpdhbapy; 92U 235-y; vj;jid gpsitfs; Vw;gl Ntz;Lk; vd;gijf; fzf;fpLf. xU gpsitf;fhd Mw;wy; 200 Mev vdf;fUJf.

[[Pd; - 2006,2008,2011> khHr;-14] xU gpsitf;fhd Mw;wy; = 200 Mev = 200 x 106 x 1.6 x 10-19

mZf;fU ciyapd; Mw;wy; = 32 MW

92U 235 -y; gp;sTfspd; vz;zpf;if N = nkhj;j Mw;wy; xU gpsitf;fhd Mw;wy; 32 x 106

N =

200 x 106 x 1.6 x 10-19

N = 1018 gp;sTfs; / tpehb

61. fjphpaf;f nray;ghL 1 fpA++hp vd;wpUf;Fk; (88Ra 226)Nubaj;jpd; epiw Vwf;Fiwa 1 fpuhk; vdf;fhl;Lf.

[[Pd; - 2006,khh;r; :2008,khh;r; :2012] [T ½ - 1600 Mz;Lfs; ; 1 fpA++hp = 3.7 x1010 rp / tp]

T ½ =1600 Mz;Lfs; =1600 x 365.25 x 24 x 60 x 60 tpehb.

dN / d t = 3.7 x 1010 rp / tp m = ? T ½ = 0.6931 /


30


dN / d t = N

N = 1 dN

.

d t

T ½ dN

= x

0.6931 dt

1600 x 365.25 x 24 x 60 x60

N = X 3.7 x 1010 0.6931

= 2.695 x 1021 6.023 x 1023 mZf;fspd; epiw 226 g 88Ra 226 vdpy; 2.695 x 1021 mZf;fspd; epiw 226

m = x 2.695 x 1021 6.023 x 1023

= 1.011 g

m 1g 62. 1 kg msTs;s 92U 235 gpsTWk; NghJ ntspg;gLk; Mw;wYf;Fr; rkkhd Mw;wiyg; ngw Njitg;gLk; epyf;fhpapd; epiwiaf;fzf;fpLf.

[mf;Nlhgh;-2006] ( epyf;fhpapd; vhpjy; ntg;gk; 33.6 x 10

6 Jkg-1

U 235-y; xU gpsitf; fhz Mw;wy;. = 200 Mev

mtfl;Nuh vz; N = 6.023 x 1023) xU gpsitf;fhz Mw;wy;. = 200 Mev = 200 x 1.6 x 10

-19 x 10

6

epyf;fhpapd; epiw = ?

235 g U 235 – y; cs;s mZf;fspd; vz;zpf;if = 6.023 x 1023

1000 g ( or ) 1 kg U 235 – y; cs;s mZf;fspd; vz;zpf;if 6.023 x 10

23

N= x 103

235

6.023 x 1026

=

235

1 gpsitf;fhz Mw;wy;. =3.6 x1011

J

6.023

x 1026 mZf;fs; gpsTWk; NghJ ntspg;gLk;

235

Mw;wy; = 6.023 x 1026

x3.6 x10-11

235

E = 8.2016 x 1013

J

1 kg msTs;s U 235 gpsTWk; NghJ ntspg;gLk; Mw;wYf;Fr;


31


rkkhd Mw;wiyg; ngw Njitg;gLk; epyf;fhpapd; epiw M vdpy;

M x epyf;fhpapd; vhpjypd; tpidntg;gk; =8.2016x 1013

M x 33.6 x 106 = 8.2016 x 10

13

8.2016 x 10

13

M = = 2.441 x 106

kg

= 2441x103

Kg

33.6 x 106

M = 2441 ld;.

63. 6C12 mZf;fUtpd; epiwtO 0.098 amu vdpy; xU mZf;fUj; JfSf;fhd

gpizg;G Mw;wiyf; fzf;fpLf. [[Pd; - 2007]

6C12 - d; m = 0.098 amu A =12

BE / A = ?

6C12 - d; m = 0.098 amu vdpy;

6C12 – d; gpizg;G Mw;wy; (BE) = m x 931 Mev

= 0.098 x 931 Mev

6C12 xU fUj;Jf;fSf;fhd gpizg;G Mw;wy; = 91.238 = 7.603 Mev

12

64. rpW msT Nuhlhd; jdpkg;nghUs; 60 % rpijtila MFk; fhyj;ijf; fzf;fpLf. [khh;r; : 2007] (T1/2=3.8 ehl;fs;) Nulhdpd; miu MAl;fhyk; = 3.8 ehs; Muk;g msT N0 = 100% rpijtile;j msT (N-N0)= 60%

vQ;rpa msT N = 40% rpijtila MFk; fhyk; t=?

T1/2 = 0.6931

0.6931

=

T1/2

N = N0 e- t

N / N0 = e- t

N0/ N = e t

loge (N0/ N) = t

t = loge = x2.303x loge

t= x 2.303 x log 2.5

3.8

t = 2.303 x log 10 2.5

0.6931

3.8

t = 2.303 x 0.3979

0.6931

t = 5.022 ehs;


32


65. 6C 12 kw;Wk; 6C13 mZf;fUf;fspd; xU mZfUJfSf;fhd gpizg;G

Mw;wy;fs; KiwNa 7.68 Mev kw;Wk; 7.47 Mev vd mikfpd;wd. mZf;fUtpy; ,Ue;J xU epA++l;uhd ntspNaw;wj; Njitahd Mw;wiyf; fzf;fpLf. [khh;r; : 2009> [Pd; - 15] 6C 12 -y; xU fUj;Jf;fSf;fhd gpizg;G Mw;wy; = 7.68 Mev

6C13 -y; xU fUj;Jf;fSf;fhd gpizg;G Mw;wy; = 7.47 Mev

xU epA++l;uhid ntspNaw;w Njitahd Mw;wy; Q = ?

6C13

6C 12 +0n1 +Q.

6C13 -y; xU fUj;Jf;fSf;fhd gpizg;G Mw;wy; = 7.47 Mev

nkhj;j gpizg;G Mw;wy; = 13 x 7.47 Mev

= 97.11 Mev

6C 12 -y; xU fUj;Jf;fSf;fhd gpizg;G Mw;wy; = 7.68 Mev

nkhj;j gpizg;G Mw;wy; = 12 x 7.68 Mev

= 92.16 Mev epA++l;uhd ntspNaw;wj; Njitahd Mw;wy; =6C

13 -d; nkhj;j gpizg;G Mw;wy; - 6C 12-d; nkhj;j gpizg;G Mw;wy; =97.11-92.16 =4.95 MeV

66. fPo;tUk; tpidapy; ntspg;gLk; Mw;wiyf; fzf;fpL. 3Li6 +0n 1 2He

4+1H

3

3Li6 –d; mZf;fUtpd; epiw = 6.015126 amu

0n 1–d; epiw = 1.008665 amu 2He

4 –d; mZf;fUtpd; epiw = 4.002604 amu

1H3–d; mZf;fUtpd; epiw = 3.016049 amu

/ ntspg;gLk; Mw;wy; =?

3Li6 –d; epiw = 6.015126 amu 0n 1–d; epiw = 1.008665 amu

tpidgLnghUspd; epiw = 7.023791 amu

2He4 –d; epiw = 4.002604 amu

1H3–d; epiw = 3.016049 amu

tpidtpisnghUs;fspd; epiw = 7.018653 epiwtO m = tpidgL nghUs;fspd; epiw – tpid tpis

nghUs;fspd; epiw m = 7.023791 - 7.018653

m = 0.005138

ntspg;gLk; Mw;wy; = m x 931 MeV

= 0.005138 x 931 MeV

E= 4.783 MeV


33


67. 13AI27 +1H 2 12Mg25+2He4 vd;w tpidapy; ntspg;gLk; Mw;wiyf; fzf;fpLf.

[mf;Nlhgh;-2012] 13AI27 –d; epiw = 26.981535 amu

1H 2 –d; epiw = 2.014102 amu

12Mg25 –d; epiw = 24.98584amu

2He4–d; epiw = 4.002604 amu

ntspg;gLk; Mw;wy; = ?

13AI27 –d; epiw + 1H 2 –d; epiw = 26.981535 +2.014102

= 28.995637 amu

12Mg25 –d; epiw + 2He4–d; epiw = 24.98584 + 4.002604

= 28.988444 amu

epiwtO = tpidgL nghUs;fspd; epiw – tpid tpis nghUs;fspd; epiw

m = 28.995637 – 28.988444 = 0.007193 ntspg;gLk; Mw;wy; E = m x 931 Mev

= 0.007193 X 931 Mev

E = 6.696 Mev

68. 20ca40

– mZf;fU gpizg;G Mw;wy; kw;Wk; xU mZf;fUj;JfSf;fhd

gpizg;G Mw;wy; Mfpatw;iwf; fzf;fpLf. (June – 2016)

xU GNuhl;Nlhdpd; epiw (mp) = 1.007825 amu

xU epA+l;uhdpd; epiw (mn) = 1.008665 amu

20ca40

–d; mZf;fUtpd; epiw (M) = 39.96259 amu

20ca40

– y; A= 40; Z=20; N=20.

mp = 1.007825 amu

Zmp = 20 1.007825 amu

= 20.1565 amu

mn = 1.008665 amu

Nmn = 20 1.008665 amu

= 20.1733 amu

Zmp + Nmn = 40.3298 amu

20ca40

–d; cz;ik epiw = 39.96259 amu


34


m = (Zmp + Nmn) – M

= 40.3298 – 39.96259

m = 0.36721 amu

BE = m 931 MeV

= 0.36721 931 MeV

BE = 341.872 MeV

xU fUj;JfSf;fhd gpizg;G Mw;wy;

BE/A = = 8.546 MeV

BE/A = 8.546 MeV

69. CE Rw;wpy; ,izf;fg;gl;Ls;s xU buhd;rp];h; kpd;Ndhl;lg; ngUf;fk; =

0.97 MFk;. 3 k ntspaPL Gwkpd; jilf;F (Rc) ,ilNa cs;s kpd;dOj;j FiwT 6v vdpy; Rw;wpy; mbtha; kpd;Ndhl;lj;ijf; fhz;f.

[[Pd; - 2010] = 0.97

Rc = 3K

VCE= 6V

IB = ?

Ic = VCE / Rc

= 6 / 3 x 103

= 2x 10

-3 A

= / (1 - )

= 0.97 / (1 - 0.97)

= 0.97 /0.03

= 32.33

= Ic / IB

IB = Ic /

= 2 x 10-3

/ 32.33

= 0.0618 x 10-3

IB = 61.8 x 10-6

A

IB = 61.8 A


35


70. 10MHz mjph;ntz;Zk; 10 mV tPr;Rk; nfhz;l ird; tbt Ch;jp miy xd;W 5 Kz mjph;ntz;Zk; 6 mV tPr;Rk; nfhz;l ird; tbt irif miyapd; gd;Ngw;wk; nra;ag;gLfpwJ. gd;Ngw;wk; ngw;w miyapd; cs;s mjph;ntz; $WfisAk; mtw;wpd; tPr;rpfisAk; fhz;f.

[khh;r; : 2011] Ch;jp miyapd; mjph;ntz; ( fc) = 10MHz

irif miyapd; mjph;ntz; ( fs) = 5 KHz= 0.005 MHz

irifapd; miyapd; tPr;R = 6 mV

Ch;jp miyapd; tPr;R = 10 mV

gd;Ngw;wk; ngw;w miyapd; mjph;ntz; = ?

gd;Ngw;wk; ngw;w miyapd; tPr;R = ?

gd;Ngw;wk; miyapd; Nky; gf;f gl;il mjph;ntz; = fc + fs

= 10+0.005

= 10.005MHz

gd;Ngw;wk; miyapd; fPo;gf;f gl;il mjph;ntz; = fc - fc

= 10 - 0.005

= 9.955MHz

tPr;R gd;Ngw;w vz; m = Es / Ec

= 6 / 10

= 0.6

Nky; gf;f gl;il ( or ) fPo;gf;f gl;ilapd; tPr;R = mEc / 2

= (0.6 x 10 ) / 2

= 3 mV

tho;j;Jf;fSld; jhkiur; nry;td; . T KJfiy Mrpupah; (,aw;gpay;) muR Mz;fs; Nky;epiyg; gs;sp> mwe;jhq;fp – 614616

nry; : 9443645072 Email : [email protected]

mailto:[email protected]

2 nghjj;njht vojts;s khzt fz;kzpfsf;f vdj md;g fye;j tzf;fq;fs; · 2017-01-03 · 1 +2...

Documents