fganh ds iz;ksx laca/kh vkns'kksa dk ladyu jktHkk"kk foHkkx
fganh ds iz;ksx laca/kh vkns'kksa dk ladyu jktHkk"kk foHkkx
fganh ds iz;ksx laca/kh vkns'kksa dk ladyu jktHkk"kk foHkkx
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uksV%<br />
85<br />
lj<strong>dk</strong>jh {ks= <strong>ds</strong> cS<strong>dk</strong>sa ,oa foÙ<strong>kh</strong>; laLF<strong>kk</strong>vksa esa jktH<strong>kk</strong>"<strong>kk</strong> <strong>fganh</strong> <strong>ds</strong> <strong>iz</strong>xkeh <strong>iz</strong>;<strong>ksx</strong> ls <strong>laca</strong>f/kr frekgh <strong>iz</strong>xfr fjiksVZ<br />
H<strong>kk</strong>x&(I) ¼<strong>iz</strong>R;sd frekgh esa Hkjk tk,½<br />
cSad@foH<strong>kk</strong>x@<strong>dk</strong>;kZy;@foÙ<strong>kh</strong>; laLF<strong>kk</strong> <strong>dk</strong> uk<br />
H<strong>kk</strong>"<strong>kk</strong>bZ {ks=<br />
1-¼d½ frekgh <strong>ds</strong> nkSjku jktH<strong>kk</strong>"<strong>kk</strong> vf/kfu;e ] 1963 dh /<strong>kk</strong>jk 3¼3½ <strong>ds</strong><br />
vUrxZr tkjh <strong>dk</strong>xtkr¹ dh dqy la[;k -------------------------------------------- %<br />
1-¼[k½ buesa ls <strong>ds</strong>oy vaxzsth esa tkjh fd;s x;s <strong>dk</strong>xtkr --------------------------------- %<br />
______________<br />
______________<br />
______________<br />
______________<br />
--------------<strong>dk</strong>s lekIr frekgh<br />
2- <strong>fganh</strong> esa <strong>iz</strong>kIr i=ksa dh fLFkfr ¼fj<strong>dk</strong>MZ <strong>ds</strong> vuq:i½<br />
¼d½ <strong>fganh</strong> esa <strong>iz</strong>kIr i=ksa dh la[;k ----------------------------------------------------------- % ______________<br />
¼[k½ buesa ls vaxzsth esa mÙkfjr i=ksa dh la[;k -------------------------------------------- % ______________<br />
3(i) tkjh fd, x, dqy i=ksa dh la[;k<br />
muesa ls <strong>fganh</strong> esa tkjh vaxzsth esa tkjh Hksts x, i=ksa esa ls <strong>fganh</strong> i=ksa dh <strong>iz</strong>fr'krrk<br />
fiNyh frekgh esa bl frekgh esa<br />
^d* {ks= <strong>dk</strong>s<br />
^[k* {ks= <strong>dk</strong>s<br />
^x* {ks= <strong>dk</strong>s<br />
1 2 3 4<br />
1- bl<strong>ds</strong> lkFk rkj] VsysDl] QSDl vkSj en la[;k&2 esa fn[<strong>kk</strong>, x, mÙkjLo:i <strong>fganh</strong>@vaxzsth esa <strong>iz</strong>sf"kr i=ksa dh la[;k H<strong>kh</strong> '<strong>kk</strong>fey dh tk,A<br />
2- ^x* {ks= <strong>dk</strong>s tks i= f}H<strong>kk</strong>"<strong>kh</strong> Hksts x, gksa mUgsa mDr <strong>dk</strong>ye 1 esa '<strong>kk</strong>fey djsa ;fn i= ewy :i esa <strong>fganh</strong> esa rS;kj fd;k x;k gks vkSj<br />
vis{<strong>kk</strong>uqlkj ml<strong>dk</strong> vaxzsth :ikajr fd;k x;k gksA<br />
3- ^x* {ks= esa fLFkr jkT; lj<strong>dk</strong>jksa mu<strong>ds</strong> <strong>dk</strong>;kZy;ksa@O;fDr;ksa <strong>dk</strong>s Hksts x, i=ksa dh la[;k bl en esa '<strong>kk</strong>fey u djsaA<br />
3 (ii) vkarfjd <strong>dk</strong>e<strong>dk</strong>t esa fgUnh <strong>dk</strong> <strong>iz</strong>;<strong>ksx</strong><br />
fiNyh frekgh bl frekgh esa<br />
esa <strong>iz</strong>fr'kr <strong>iz</strong>fr'kr<br />
(i) iklcqd Hkjuk ¼uke]irs] tek] ukes vkfn½ μ μ<br />
(ii) okmpj rS;kj djuk μ μ<br />
(iii) MªkV tkjh djuk μ μ<br />
(iv) tek jlhnsa tkjh djuk μ μ<br />
(v) fofHkUu jftLVjksa] ystjksa vkfn esa <strong>iz</strong>fof"V;ka μ μ<br />
(vi) tkjh psd μ μ<br />
(vii) fofHkUu QkeZ Hkjuk μ μ<br />
(viii) uksV rS;kj djuk μ μ<br />
(ix) varfoZH<strong>kk</strong>xh; Kkiu vkfn μ μ<br />
(x) i=ksa] uksVksa vkfn ij fVIif.k;ka μ μ<br />
¹buesa lkekU; vkns'k] Kkiu] ladYi] vf/klwpuk,a] fu;e] djkj] lafonk] VsaMj uksfVl lalnh; <strong>iz</strong>'u vkfn '<strong>kk</strong>fey gSA<br />
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