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iz'u& izdk’k ds/kzo.k D;k gSA /kzo.kds mi;ksx fy[kksa
mRRkj& izdk’k rjax }kjk rjax ds pyus dh fn’kk ds pkjksa vksj lefufr
dhdeh iznf’kZr djuk izdk’k dk /kqo.k dgykrk gSA
tc v/kzqfor izdk’k fdlh ikjn’khZ iz"B ¼ tSls½ ¼dkWp½ls
ijkofrZr gksrk gS rks og vkWaf’kd /kzfor gks tkrk gSA ftlesa vkiur
ry ds yEccr~ dEiu djus okyk ?kVd vf/kd vf/kd rFkk ikrru ry ds lekUrj
dEiu djus okyk ?kVd de gksrk gSA vkiru dks.k cnyus ij ,d fo’ks"k
vkiru dks.k ij ijkofrZr izdk’k iw.kZr% lery /kzfor gksrk gS ftlesa
dEiu vkiru ry ds yEcor gksrs gSA bl vkiru dks.k dks /kzqo.k dks.k
vFkok oqLVj dks.k dsk /kzqo.k dks.k dgrs gSAc
cqLVj ds fu;ekuqlkj]
/kzo.k dks.k ip dhLi’kZT;k dsviorZukad ds
cjkcj gksrh gSA
vFkkZrtan ip = μ
/kzqo.k dks.k ij vkiru gksus ij ifuofrZr fdj.k rFkk viofrZr fdj.k ,d
nqljs ds yEcor~ gksrh gSA ok;q dkWp ds lhek iz"B xy ij vkifrr fdj.k
po gSA ftldk vaf’kd Hkkx ijkoZfrr gks tkrk gSA ijkofrZr fdj.k OR
gSA rFkk vifrZr fdj.k OS gSA fp= ls Li"V gSA fd ;fn vkiru dks.k ¼ =
/kzo.k dks.k½ ip rFkk viofrZrdks.k r gS rks]
czqLVj dsfu;e ls ] tan ip = μ rFkk
LuSy dsfu;e ls ] μ =
:- tan ip = ;k
=
;k cosip = cosi(900-r)
ip= 900-r ;k r = 900-ip
Sin ip
sin r
Sin ip
sin r
Sin ip
sin r
Sin ip
sin r
vr% ijkofrZr fdj.k oR rFkk viofrZr fdj.k os ds e/; dks.k
ROS = 1800 – (ip+r)
=1800 –[ (ip+ 1900 – ip)] = 900
Blls fl) gksrk gSA fd nksek/;eksads lhekiz"B ij ;fn izdk’k ip(=tan-1 μ) ij
vkifrr gksrkgS rksijkojfrZr o viofrZr fdj.ks ,d & nqljs ds yEcorgksrh gSA
/kzqo.kdsmi;ksx%&
¼1½ /kzqo.kdh?kVukdsoyvuqizLFkrjaxksa esaghlEHkogSAvuq/ks;Z
rjaxksa esaughaA
¼2½ ;fnlk/kkj.kcYols izkIrizdk’kdksVqesZyhufØLVyls gksdj xqtkjssarFkk
fØLVydks?kqekrs gq,fuxZr izdk’kdhrhozrkd ns[ksrksfuxaZrizdk’kdhrhozrkesa
dksbZifjorZuughagksrkgSA
¼3½ v/kzqforizdk’kesavla[;vuqizLFkrjaxas mifLFkr gksrhgSftuds dkj.k
rjax dspyusdhfn’kkdsyEcorlHkhlaEHkoryksaesa fo|qrosDVj dsdEiumifLFkr gksrs gS
¼4½lery /kzqforizdk’kesaog ryftlesafo|qrosDVjdsdEiu dhfn’kkrFkk
izdk’kdslapj.kdhfn’kknksuksagskrh gSA
¼5½/kzo.kdks.kfdlhijkorZdryij izdk’kdkogvkiru dks.k gSA& tan ip =
μ

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PHYSIC

  • 1.
  • 2. iz'u& izdk’k ds/kzo.k D;k gSA /kzo.kds mi;ksx fy[kksa mRRkj& izdk’k rjax }kjk rjax ds pyus dh fn’kk ds pkjksa vksj lefufr dhdeh iznf’kZr djuk izdk’k dk /kqo.k dgykrk gSA tc v/kzqfor izdk’k fdlh ikjn’khZ iz"B ¼ tSls½ ¼dkWp½ls ijkofrZr gksrk gS rks og vkWaf’kd /kzfor gks tkrk gSA ftlesa vkiur ry ds yEccr~ dEiu djus okyk ?kVd vf/kd vf/kd rFkk ikrru ry ds lekUrj dEiu djus okyk ?kVd de gksrk gSA vkiru dks.k cnyus ij ,d fo’ks"k vkiru dks.k ij ijkofrZr izdk’k iw.kZr% lery /kzfor gksrk gS ftlesa dEiu vkiru ry ds yEcor gksrs gSA bl vkiru dks.k dks /kzqo.k dks.k vFkok oqLVj dks.k dsk /kzqo.k dks.k dgrs gSAc
  • 3. cqLVj ds fu;ekuqlkj] /kzo.k dks.k ip dhLi’kZT;k dsviorZukad ds cjkcj gksrh gSA vFkkZrtan ip = μ /kzqo.k dks.k ij vkiru gksus ij ifuofrZr fdj.k rFkk viofrZr fdj.k ,d nqljs ds yEcor~ gksrh gSA ok;q dkWp ds lhek iz"B xy ij vkifrr fdj.k po gSA ftldk vaf’kd Hkkx ijkoZfrr gks tkrk gSA ijkofrZr fdj.k OR gSA rFkk vifrZr fdj.k OS gSA fp= ls Li"V gSA fd ;fn vkiru dks.k ¼ = /kzo.k dks.k½ ip rFkk viofrZrdks.k r gS rks]
  • 4. czqLVj dsfu;e ls ] tan ip = μ rFkk LuSy dsfu;e ls ] μ = :- tan ip = ;k = ;k cosip = cosi(900-r) ip= 900-r ;k r = 900-ip Sin ip sin r Sin ip sin r Sin ip sin r Sin ip sin r
  • 5. vr% ijkofrZr fdj.k oR rFkk viofrZr fdj.k os ds e/; dks.k ROS = 1800 – (ip+r) =1800 –[ (ip+ 1900 – ip)] = 900 Blls fl) gksrk gSA fd nksek/;eksads lhekiz"B ij ;fn izdk’k ip(=tan-1 μ) ij vkifrr gksrkgS rksijkojfrZr o viofrZr fdj.ks ,d & nqljs ds yEcorgksrh gSA
  • 6. /kzqo.kdsmi;ksx%& ¼1½ /kzqo.kdh?kVukdsoyvuqizLFkrjaxksa esaghlEHkogSAvuq/ks;Z rjaxksa esaughaA ¼2½ ;fnlk/kkj.kcYols izkIrizdk’kdksVqesZyhufØLVyls gksdj xqtkjssarFkk fØLVydks?kqekrs gq,fuxZr izdk’kdhrhozrkd ns[ksrksfuxaZrizdk’kdhrhozrkesa dksbZifjorZuughagksrkgSA ¼3½ v/kzqforizdk’kesavla[;vuqizLFkrjaxas mifLFkr gksrhgSftuds dkj.k rjax dspyusdhfn’kkdsyEcorlHkhlaEHkoryksaesa fo|qrosDVj dsdEiumifLFkr gksrs gS ¼4½lery /kzqforizdk’kesaog ryftlesafo|qrosDVjdsdEiu dhfn’kkrFkk izdk’kdslapj.kdhfn’kknksuksagskrh gSA ¼5½/kzo.kdks.kfdlhijkorZdryij izdk’kdkogvkiru dks.k gSA& tan ip = μ

Editor's Notes

  1. :-