†fŠZ ivwk I cwigvc 1

gƒj eBGqi AwZwiÚ Ask cÉ^g AaÅvq: ˆfŒZ ivwk I cwigvc

cix¶vq Kgb †c‡Z AviI cÖ‡kœvËi

cÉk²1 ˆKvGbv eÕ§i Š`NÆÅ wbYÆGqi mgq cÉavb ˆÕ•Gji cvV

19mm ‰es fvwYÆqvi mgcvZb 7 cvIqv ˆMj| K. ÕÏvBW KÅvwjcvmÆ Kx? 1 L. ÕÏvBW KÅvwjcvGmÆi mvnvGhÅ wewf®² AvK‡wZi eÕ§i AvqZb

wbYÆGqi mƒò ˆjL| 2 M. fvwYÆqvi aË‚eK 0.1mm nGj eÕ§wUi Š`NÆÅ KZ? 3 N. ÕÏvBW KÅvwjcvGmÆi mvnvGhÅ ˆhGKvGbv ARvbv Š`GNÆÅi

cwigvc Kiv hvq@weGkÏlY Ki| 4 1 bs cÉGk²i Dîi

K ÕÏvBW KÅvwjcvmÆ ‰KwU cwigvcK h¯¨ ˆhwU mƒß cwigvGci RbÅ eÅenvi Kiv nq|

L ÕÏvBW KÅvwjcvGmÆi mvnvGhÅ Avgiv wewf®² AvK‡wZi eÕ§i Š`NÆÅ, cÉÕ©, DœPZv, eÅvm BZÅvw` cwigvc KiGZ cvwi| AZtci DÚ eÕ§i AvqZb wbYÆGqi mƒGò cwigvcK‡Z gvb ewmGq eÕ§i AvqZb wbYÆq Kiv hvq| fvwbÆqvi ˆÕ•j «¼viv eÕ§i Š`NÆÅ, cÉÕ©, DœPZv wKsev eÅvm wbYÆGqi mƒò nGjv:

Š`NÆÅ = cÉavb ˆÕ•Gji cvV + fvwbÆqvi mgcvZb fvwbÆqvi aË‚eK

M ‰LvGb, cÉavb ˆÕ•Gji cvV, M = 19mm

fvwbÆqvi mgcvZb, V = 7

fvwbÆqvi aË‚eK, VC = 0.1mm

eÕ§i Š`NÆÅ, L = ?

Avgiv Rvwb,

eÕ§i Š`NÆÅ = cÉavb ˆÕ•Gji cvV + fvwbÆqvi mgcvZb fvwbÆqvi aË‚eK ev, L = M + V VC

= 19 mm + (7 0.1)mm = 19.7 mm (Ans.)

N “ÕÏvBW KÅvwjcvGmÆi mvnvGhÅ ˆh ˆKvb ARvbv Š`NÆÅ cwigvc Kiv hvq” Zv wbGP weGkÏlY Kiv nj| gGb Kiv hvK, ‰KwU `G´£i Š`NÆÅ ˆei KiGZ nGe| `´£wUGK ÕÏvBW KÅvwjcvGmÆi ˆPvqvj yBwUi gvSLvGb Õ©vcb KiGZ nq| fvwbÆqvi ˆÕ•Gji mvG^ jvMvGbv ˆPvqvj ˆVGj mvgGb AvbGZ nq hvGZ cÉavb ˆÕ•Gji ˆPvqvj I fvwbÆqvGii ˆPvqvj eÕ§wUGK wecixZ w`K ˆ^GK Õ·kÆ KGi| `´£wUi evg cÉv¯¦ cÉavb ˆÕ•Gji kƒbÅ (0) `vGMi mvG^ wgwjGq fvwbÆqviwU mvgGb ev ˆcQGb mwiGq `G´£i Wvb cÉvG¯¦i mvG^ wgjvGbv nq| gGb Kiv hvK `G´£i Wvb cÉv¯¦ ˆÕ•Gji M wgwg `vM AwZKÌg KGiGQ, ZvnGj ‰i Š`NÆÅ M I (M +1) wgwg ‰i gvSgvwS| ‰B M wgwg ‰i ˆPGq evowZ Š`NÆÅ fvwbÆqvi eÅenvi KGi ˆei KiGZ nGe| ‰i Š`NÆÅUzKz nGe fvwbÆqvi cvV|

‰evi ˆ`LGZ nGe fvwbÆqvGii ˆKvb `vMwU cÉavb ˆÕ•Gji ˆKvGbv ‰KwU `vGMi mvG^ wgGjGQ| hw` ˆKvGbv `vM bv wgGj ^vGK, ZvnGj ˆ`LGZ nGe fvwbÆqvGii ˆKvb `vMwU cÉavb ˆÕ•Gji ‰KwU `vGMi mvG^ wgGjGQ hv KvQvKvwQ nGqGQ| myZivs fvwbÆqvi aË‚eK VC nGj, `G´£i Š`NÆÅ = cÉavb ˆÕ•j cvV + fvwbÆqvi ˆÕ•j cvV = cÉavb

ˆÕ•j cvV + fvwbÆqvi mgcvZb fvwbÆqvi aË‚eK A^Ævr, L = M + V VC

cÉk²2 `kg ˆkÉwYi ‰KRb wkÞv^Æx AvwKd eÅenvwiK ˆkÉwYGZ

‰KwU wmwj´£vGii AvqZb wbYÆq KiGZ wMGq ÕÏvBW KÅvwjcvmÆ I gvBGKÌvwgUvi Õ˜zMR eÅenvi KGi| cÉ^gwU w`Gq Š`NÆÅ I w«¼ZxqwU w`Gq eÅvm wbYÆq KGi| ÕÏvBW KÅvwjcvmÆ cÉavb ˆÕ•Gji cvV 5.2 cm, fvwbÆqvi mgcvZb 5 ‰es gvBGKÌvwgUvi Õ˜zMGR ŠiwLK ˆÕ•Gji cvV 3mm I PKÌvKvi ˆÕ•Gji fvM msLÅv 12 cvIqv ˆMj| fvwbÆqvi aË‚eK 0.01 cm ‰es jwNÓ¤ gvb 0.01mm|

K. wcP Kx? 1 L. cÉGZÅK ivwk cwigvGci ‰KwU ‰KK wbaÆviY cÉGqvRb ˆKb?2 M. wmwj´£vGii wbaÆvwiZ AvqZb KZ? 3 N. AvwKGdi yBwU h¯ eÅenvGii ˆhŒwÚKZv ˆ`LvI| 4

2 bs cÉGk²i Dîi

K Õ•zMGRi e†îvKvi ˆÕ•Gji UzwcGK ‰Kevi ˆNvivGj ˆmwU ŠiwLK ˆÕ•j eivei ˆh `ƒiZ½ AwZKÌg KGi ZvGK wcP eGj|

L AvgvG`i Š`bw±`b RxeGb cÉwZwU KvGRi mvG^ gvcGRvL RwoZ| Avi ˆhGKvb wKQzi cwigvY wbYÆq KiGZ nGj ZvGK ‰KwU wbw ÆÓ¡ cwigvGYi mvG^ Zzjbv KiGZ nq| ‰B wbw ÆÓ¡ cwigvYB nj ‰KK| ZvB ˆhGKvb wKQzi cwigvGci RbÅ ‰KwU wbw ÆÓ¡ ‰KGKi cÉGqvRb nq|

M ‰LvGb, ÕÏvBW KÅvwjcvGmÆi ˆÞGò, cÉavb ˆÕ•j cvV l = 5.2cm fvwbÆqvi mgcvZb V = 5

fvwbÆqvi aË‚eK VC = 0.01 cm

Õ˜z MGRi ˆÞGò, ‹iwLK ˆÕ•j cvV l = 3mm

e†îvKvi ˆÕ•Gji fvMmsLÅv C = 12 jwNÓ¤ MYb LC = 0.01mm

AB `G´£i AvqZb V = ?

AB `G´£i Š`NÆÅ L = l + V VC

= (5.2 + 5 0.01) cm = 5.25 cm

AB `G´£i eÅvm D = l + C LC

= (3 + 12 0.01)mm = 3.12 mm = 0.312 cm

AB `G´£i AvqZb V = 4

D2L

2 cv‡Äix gva¨wgK m„Rbkxj c`v_©weÁvb

=

3.14

4 (0.312)2 5.25 cm3

V = 0.40117 cm3 (Ans)

N mƒß cwigvGci ˆÞGò ÕÏvBW KÅvwjcvGmÆi f„wgKv: ÕÏvBW

KÅvwjcvGmÆi mvnvGhÅ ˆKvb eÕ§i Š`NÆÅ ev DœPZv mwVKfvGe cwigvc Kiv hvq, hv mvaviY wgUvi ˆÕ•Gji mvnvGhÅ mÁ¿e bq| mvaviY wgUvi ˆÕ•Gji mvnvGhÅ Avgiv mvaviYZ 0.1cm chƯ¦ wbfzÆjfvGe cwigvc KiGZ cvwi| wK¯§ ÕÏvBW KÅvwjcvmÆ eÅenvi KGi Avgiv 0.01 cm ev 0.1 mm chƯ¦ wbfzÆjfvGe gvcGZ cvwi|

mƒß cwigvGci ˆÞGò Õ˜z-MGRi f„wgKv: Õ˜z-MGRi mvnvGhÅ ˆKvb

ZvGii eÅvm, ˆQvU ˆPvGãi eÅvm BZÅvw` AwaK mwVKfvGe gvcv nq, hv wgUvi ˆÕ•Gji mvnvGhÅ mÁ¿e nq bv| Aciw`GK ÕÏvBW KÅvwjcvGmÆi mvnvGhÅ eo ˆPvGãi wfZGii I evBGii eÅvm mwVKfvGe gvcv ˆMGjI Þz`Ë eÅvGmi ˆÞGò Zv AwaK mwVK nq bv| ‰RbÅ Þz`Ë eÅvGmi cwigvGci RbÅ Õ˜z-MR eÅenvi Kiv nq| myZivs, DcGivÚ cwigvGci ˆÞGò AvwKGdi h¯¨ `ywUi eÅenvi ˆhŒwÚK wQj|

DËi ms‡KZmn m„Rbkxj cÖkœ

cÉk²1 AvØvm Zvi ˆj` ˆgwkGb wewf®² gvGci h¯¨cvwZ ŠZwi

KGi| mƒÞÄ I mwVK cwigvGci RGbÅ Zvi ‰KwU ÕÏvBW KÅvwjcvGmÆi cÉGqvRb| ÕÏvBW KÅvwjcvmÆ ˆKbvi RGbÅ AvØvm XvKvi bevecyi ˆivGW nvWÆIqÅvGii ˆ`vKvGb wMGq ‰KwU ÕÏvBW KÅvwjcvmÆ PvBj| ˆ`vKvb`vi ejGjb, Kx gvGci ÕÏvBW KÅvwjcvmÆ `iKvi| ˆm ejj, fvwbÆqvi aË‚eGKi gvb wbYÆq Kiv hvq ‰gb ÕÏvBW KÅvwjcvmÆ w`b| AvØvm ˆ`Lj, fvwbÆqvi ˆÕ•Gji kƒbÅ `vM cÉavb ˆÕ•Gji kƒbÅ `vGMi mvG^ wgGj hvq ‰es fvwbÆqvi ˆÕ•Gji 10 fvM cÉavb ˆÕ•Gji 9

fvGMi mgvb| ‰KwU avZe `Gíi Š`NÆÅ gvcvi RGbÅ ‰GK ÕÏvBW KÅvwjcvGmÆi ˆPvqvj«¼Gqi gvGS Õ©vcb KiGZ nq|

K. ÕÏvBW KÅvwjcvmÆ Kx ? 1 L. jwNÓ¤ MYb wKfvGe cvIqv hvq? 2 M. AvØvm ÕÏvBW KÅvwjcvGmÆi mvnvGhÅ KxfvGe fvwbÆqvi aË‚eK

wbYÆq KiGeeÅvLÅv Ki| 3 N. ˆKvGbv `Gíi Š`NÆÅ wbYÆGq AvØvGmi KÌqK‡Z h¯¨wUi

DcGhvwMZv AvGjvPbv Ki| 4 1 bs cÉGk²i Dîi

K ÕÏvBW KÅvwjcvmÆ ‰K aiGbi cwigvGci ˆÕ•j hv «¼viv fvwbÆqvi c«¬wZGZ ˆKvGbv eÕ§ ev `Gíi Š`NÆÅ mƒÞÄfvGe wbYÆq Kiv mÁ¿e|

L hG¯¨i wcPGK e†îvKvi ˆmKGji msLÅv «¼viv fvM KiGj jwNÓ¤ MYb cvIqv hvq|

jwNÓ¤ MYb = wcP

e†îvKvi ˆÕ•Gji fvM msLÅv

mycvi wUcm& : cÉGqvM I DœPZi `ÞZvi cÉGk²i DîGii RGbÅ

Abyi…c ˆh cÉGk²i DîiwU Rvbv ^vKGZ nGe

M ÕÏvBW KÅvwjcvGmÆi fvwbÆqvi aË‚eK KxfvGe wbYÆq Kiv hvq|

N ˆKvGbv `Gíi Š`NÆÅ wbYÆGq ÕÏvBW KÅvwjcvGmÆi DcGhvwMZv eYÆbv Ki|

cÉk²2 iwng ‰KwU wmwj´£vGii AvqZb wbYÆq KiGZ wMGq ÕÏvBW

KÅvwjcvmÆ I gvBGKÌvwgUvi Õ˜z MR eÅenvi KiGjb| 1g wU w`Gq Š`NÆÅ ‰es w«¼ZxqwU w`Gq eÅvm wbYÆq KiGjb| ÕÏvBW KÅvwjcvGmÆ cÉavb ˆÕ•Gji cvV 10.2 cm, fvwbÆqvi mgcvZb 8 ‰es gvBGKÌvwgUvi Õ˜zMR ŠiwLK ˆÕ•Gji cvV 9mm, PKÌvKvi ˆÕ•Gji fvM msLÅv 12 cvIqv ˆMj| fvwbÆqvi aË‚eK 0.01cm ‰es jwNÓ¤ gvb 0.01mm.

K. wcP Kx? 1 L. cÉGZÅK ivwk cwigvGc ‰KwU ‰KK wbaÆviY cÉGqvRb

ˆKb? 2 M. wmwj´£viwUi wbYxÆZ AvqZb KZ? 3 N. iwnGgi yBwU h¯ eÅenvGii ˆhŒwÚKZv eÅvLÅv Ki| 4

2 bs cÉGk²i Dîi

K Õ˜z MGRi Õ˜zGK ‰Kevi NyivGj ‰i ŠiwLK ˆÕ•j eivei ˆh Š`NÆÅ AwZKÌg KGi ZvGK wcP eGj|

L ‰ ˆfŒZ RMGZ cwigvcGhvMÅ hv wKQy meB ivwk| Avi cÉGZÅKwU ˆfŒZ ivwkGK cwigvGci RbÅ ‰KK wbaÆviY AekÅB cÉGqvRb| KviY@ hw` ejv nq, ˆKvGbv ‰KwU eÕ§i Š`NÆÅ 10 ZGe ‰wU «¼viv eÕ§i mÁ·GKÆ cÉK‡Z aviYv cvIqv hvq bv| cÉK‡Z aviYv cvIqvi RbÅ Š`GNÆÅi msLÅvMZ gvGbi cvGk ‰KK eÅenvi KiGZ nq| ˆhgb, ‰KwU eÕ§i Š`NÆÅ 10 wgUvi|

mycvi wUcm& : cÉGqvM I DœPZi `ÞZvi cÉGk²i DîGii RGbÅ

Abyi…c ˆh cÉGk²i DîiwU Rvbv ^vKGZ nGe

M ÕÏvBW KÅvwjcvGmÆi mvnvGhÅ KxfvGe wmwjívGii AvqZb wbYÆq Kiv hvq eYÆbv Ki|

N myÞÄ cwigvGci RbÅ ÕÏvBW KÅvwjcvmÆ I gvBGKÌvwgwUvi Õ˜z-MGRi cÉGqvRbxqZv eYÆbv Ki|

†fŠZ ivwk I cwigvc 3

PC-02// \\prepress47\E\Data 2015-2016\Link 2016 Class 06-09\Class 09\c09phy 20.01.16\phyq01.doc

wb‡R‡K hvPvB Kwi

eüwbeÆvPwb cÉk²

mgq: 35 wgwbU; gvb-35 1. c`vG^Æi AYyàGjv MwZkxj AvGQ, ‰ aviYv

c`vG^Æi ˆKvb ZGî½i gƒj welq? K üGKi Zî½ L cÅvmGKGji Zî½ M AvYweK Zî½ N eGqGji Zî½ 2. AbÅ ivwki Ici wbfÆi KGi i. ej, KvR I Zvc ii. Zvcgvòv, mgq I Zwor cÉevn

iii. ˆeM, Z½iY I Zvc wbGPi ˆKvbwU mwVK?

K i I ii L ii I iii M i I iii N i, ii I iii 3. ‰KwU ÕÏvBW KÅvwjcvGmÆ cÉavb ˆÕ•Gji Þz`ËZg

‰K NGii gvb 1mm I fvwbÆqvi ˆÕ•Gji fvM msLÅv 20 nGj ‰B ˆÕ•jwU w`Gq KZUzKz mƒÞÄfvGe cwigvc Kiv hvGe?

K 0.01mm L 0.005mm

M 0.005cm N 0.001mm

4. ˆevmb Kx aiGbi KYv? K ˆgŒwjK KYv L ˆhŒwMK KYv M `yeÆj KYv N ivmvqwbK KYv 5. ‰K ˆUiv evBU 10 wMMvevBGUi KZàY? K 10 L 100 M 1000 N 10000 6. ˆmŒiGKw± ÊK ZGî½i aviYvi MvwYwZK eYÆbv ˆ`b

ˆK? K UvBGKveËvGn L ˆ^wjm M ˆKcjvi N ˆKvcviwbKvm 7. ZworGÞò I ˆPŒÁ¼K ˆÞòGK ‰Kxf„Z KGi

ZvwoZ ˆPŒÁ¼K ZGî½i weKvk NUvb ˆK? K gÅvÝIGqj L IGqiGÕ¡W M dÅvivGW N Ave`ym mvjvg 8. “chÆGeÞY I cixÞvi gvaÅGgB weævGbi mZÅZv

hvPvB Kiv DwPr” ‰wU Kvi gZ? K BDwKÑW L iRvi ˆeKb M wbDUb N MÅvwjwjI

9. ‘cigvYy wdkbGhvMÅ’ ‰B ài‚Z½cƒYÆ AvweÓ•viwU NGU KZ mvGj?

K 1900 L 1930 M 1938 N 1968 10. wbGPi mÁ·KÆàGjv jÞ Ki i. 1 ˆcUvwgUvi = 1015m

ii. 1 wcGKvwgUvi = 1012m

iii. 1 bÅvGbvwgUvi = 109m

wbGPi ˆKvbwU mwVK?

K i I ii L ii I iii M i I iii N i, ii I iii 11. ˆKvb weævbx cÉgvY KGib ˆh, KÅvjwiK ejGZ

evÕ¦Ge wKQy ˆbB? K mvwjÆ L eUgwj M BbGRb nvDR N KvD´Ÿ ivgGdvWÆ 12. ‰KwU ÕÏvBW KÅvwjcvGmÆi cÉavb ˆÕ•Gji cvV

4cm. fvwbÆqvi mgcvZb 7 ‰es fvwbÆqvi aË‚eK 0.1mm. `íwUi Š`NÆÅ KZ?

K 4.07 cm L 4.7 cm M 4.07 mm N 4.7 mm

13. mGZű Êbv emy ˆKvb wek¼we ÅvjGqi c v ÆweævGbi

cÉGdmi wQGjb?

K wmWbx wek¼we`Åvjq

L KÅvwÁ¼ËR wek¼we`Åvjq

M Avj& AvRvnvi wek¼we`Åvjq

N XvKv wek¼we`Åvjq 14. Wv: wMjevUÆ Kx KviGY weLÅvZ wQGjb?

K PzÁ¼KZ½ wbGq MGelYv I Zî½ cÉ vGbi RbÅ

L wewf®² PvGc MÅvGmi agÆ ˆei Kivi RbÅ M AvGjvi ˆeM cwigvc Kivi RbÅ

N ˆmŒiGKw± ÊK ZGî½i aviYv ˆ`qvi RbÅ 15. ˆkjWb ™ÏvGkv ˆKvb ˆ`Gki ˆbvGej weRqx?

K ˆÕ·b L RvgÆvbx

M BZvwj N gvwKÆb hyÚivÓ¡Ì 16. ‰KwU Õ˜zMGRi e†îvKvi ˆÕ•Gji fvM msLÅv x

jwNÓ¤ MYb y ‰es Õ˜zi cxP z aiGj wbGPi ˆKvbwU mwVK?

K x = yz L y = zx

M z = xy N xyz = 1 17. wWwRUvj ^vgv Nwoi wbfzÆjZv cwigvc nGjv i. 0.01s ii. + 0.01s

iii. + 0.1s

wbGPi ˆKvbwU mwVK?

K i I ii L ii I iii

M i I iii N i, ii I iii 18. ˆgŒwjK ivwk KqwU?

K 6wU L 7wU M 8wU N 9wU 19. ‰KwU `íGK ÕÏvBW KÅvwjcvGmÆ Õ©vcGbi ci ˆh

cvV cvIqv ˆMj Zv nGœQ cÉavb ˆÕ•j cvV 4cm,

fvwbÆqvi mgcvZb 7 ‰es fvwbÆqvi aË‚eK

0.1mm| `íwUi Š`NÆÅ KZ? K 4.07mm L 4.07cm M 4.7mm N 4.7cm 20. ˆKvb weævbxi Ae`vGbi Õ¼xK‡wZ Õ¼i…c ‰KGkÉwYi

KYvi bvg weævbxi bvgvbymvGi “ˆevmb” ejv nq?

K mÅvi RM xk P± Ê emy

L P± ÊGkLi igb

M bxjm& ˆevi N mGZű`Êbv^ emy wbGPi DóxcKwU jÞÅ Ki ‰es 21 I 22 bs cÉGk²i DIi `vI|

‰KwU ÕÏvBW KÅvwjcvGmÆi cÉavb ˆÕ•Gji 39 fvM

fvwbÆqvi ˆÕ•Gji 40 fvGMi mgvb| ‰i cÉavb ˆÕ•Gji

‰K Þz`ËfvGMi gvb 1mm. DÚ h¯¨wU «¼viv ‰KwU eÕ¦yi

Š`NÆÅ wbYÆq KiGZ wMGq cÉavb ˆÕ•Gji cvV cvIqv

ˆMj 4cm ‰es fvwbÆqvGii mgcvZb 4 | 21. h¯¨wUi fvwbÆqvi aË‚eK KZ? K 0.01mm L .005cm

M 0.025mm N 0.025cm

22. eÕ¦ywUi Š`NÆÅ KZ? K 4.04cm L 4.4mm

M 4.1mm N 40.1mm

23. jº¬ ivwk

i. ˆeM ii. KvR

iii. mgq

wbGPi ˆKvbwU mwVK?

K i I ii L i I iii

M ii I iii N i, ii I iii

24. ‰KwU NbGKi evüi Š`NÆÅ 6cm ‰es ‰KwU

ˆMvjGKi eÅvm 6cm ‰G`i AvqZGbi AbycvZ KZ?

K 1 t 2 L 2 t 1

M 1.9 t 1 N 3 t 2

25. ˆgŒwjK ivwki ‰KKmgƒn

i. nGZ nGe AcwiewZÆZ

ii. mnGR cybi‚rcv`b Kiv hvGe bv

iii. AbÅ ‰KKàGjvi Ici wbfÆi KGi bv

wbGPi ˆKvbwU mwVK?

K i I ii L ii I iii

M i I iii N i, ii I iii

26. miY, MwZ, Z½iY, mgq BZÅvw` msæv^Æ I ‰G`i

gGaÅ mÁ·KÆ wbaÆviY KGib ˆK?

K wbDUb L ˆKcjvi

M MÅvwjwjI N ˆeKb

27. ˆKvb kZvõxGZ wPwKrmv weævGbi AMÉMwZGZ

c`v^Æ weævb ài‚Z½cƒYÆ Ae`vb ivLGQ?

K ‰Kwesk L wesk

M òGqv`k N cç`k

28. ˆK µÏÅvGâi ˆKvqv´Ÿvg ZGî½i ‰KwU ÷«¬Zi

cÉgvY DcÕ©vcb KGib?

K RM`xkP±`Ê emy

L wbDUb

M P± ÊGkLi igb

N mGZű`Êbv^ emy

29. Š`e ò‚wUi cÉZÅvwkZ gvb KZ?

K `k L ‰KkZ

M kƒbÅ N Amxg

30. wbDUGbi gGZ ˆKvbwUi ÷i‚ ev ˆkl bvB

K kwÚ L ÞgZv

M KvR N Õ©vb

31. evqy cvÁ· ˆK AvweÓ•vi KGib?

K fbàGqwiK L ievUÆ üK

M wbDUb N nvBGMb

32. wbGÁ²i wee†wZàGjv jÞÅ Ki:

i. kƒƒbÅ Õ©vGb AvGjv 299792458 wgUvi ƒiZ½ cÉwZ

ˆmGKG´£ AwZKÌg KGi

ii. cvwbi Šòa we±`yi Zvcgvòv 273.16C

iii. 1 wcGKv dÅvivGW 10–24 ˆUiv dÅvivGWi

mgvb wbGPi ˆKvbwU mwVK?

K i I ii L ii I iii

M i I iii N i, ii I iii

4 cv‡Äix gva¨wgK m„Rbkxj c`v_©weÁvb

33. ˆmŒiGKw± ÊK ZGî½i aviYv cÉ^g ˆ`b ˆK?

K ˆKvcvi wbKvm L ˆivgvi M ˆKcjvi N AÅvwiÕ¡vKÆvm

34. ‰KwU ˆgvevBGj ˆgGgvwi 3 ˆgMvevBU| ‰GK

evBGU cÉKvk KiGj KZ nGe?

K 3 103 evBU L 3 106 evBU

M 3 106 evBU N 3 103 evBU

35. wbGPi ˆKvbwU ˆgŒwjK ivwk bq?

K Zwor cÉevn L `xcb ZxeËZv M `xcb ÞgZv N Zvcgvòv

m†Rbkxj cÉk²

mgq: 2 N¥Ÿv 10 wgwbU; gvb-40

1. ÕÏvBW KÅvwjcvGmÆi mvG^ jvMvGbv cÉavb ˆÕ•Gji DcGi

AvGiKwU weGkl ˆÕ•j ^vGK, hvGK fvwbÆqvi ˆÕ•j eGj| ˆKvGbv

‰KwU fvwbÆqvi ˆÕ•Gji 20 fvM cÉavb ˆÕ•Gji 19 fvGMi mgvb

‰es cÉavb ˆÕ•Gji Þz`ËZg 1 fvM mgvb 1 wg. wg.|

K. eÅwÚMZ ò‚wU KvGK eGj? 1

L. eGji gvòv mgxKiYwU ˆei KGi ˆ`LvI| 2

M. h¯¨wUi fvwbÆqvi aË‚eK KZ? 3

N. h¯¨wUGZ weGkl ˆÕ•Gji cÉGqvRbxqZv KZUzKz gƒjÅvqb Ki| 4

2. ‰KwU ÕÏvBW KÅvwjcvGmÆi fvwbÆqvi ˆÕ•Gji 50 fvM cÉavb

ˆÕ•Gji Þz`ËZg 49 fvGMi mgvb| ‰KwU wmwj´£vGii DœPZv I

eÅvmvaÆ gvcvi mgq wbÁ²i…c cvV cvIqv hvq@

eÕ¦yi ŠewkÓ¡Å cÉavb ˆÕ•j (mm) fvwbÆqvi mgcvZb

eÅvm 56 45

DœPZv 89 5

ÕÏvBW KÅvwjcvGmÆi hvw¯¨K ò‚wUGK c «¼viv cÉKvk Kiv nq| gƒj

ˆÕ•Gji ˆPvqvj hLb fvwbÆqvi ˆÕ•Gji ˆPvqvGji mvG^ ˆjGM ^vGK

ZLb fvwbÆqvi ˆÕ•Gji kƒbÅ `vM gƒj ˆÕ•Gji Wvb cvGk AvGQ bv evg

cvGk AvGQ ˆmB Abyhvqx c abvñK ev FYvñK nZ cvGi|

K. AvqZGbi SI ‰KK Kx? 1

L. hvw¯¨K ò‚wUi wPn× wKfvGe wbwYÆZ nq eÅvLÅv Ki| 2

M. h¯wUi fvwbÆqvi aË‚eK KZ wbYÆq Ki| 3

N. wmwjívGii AvqZb KZ MvwYwZKfvGe weGkÏlY Ki| 4

3. P I Q eÕ¦y«¼qGK A I B h¯¨ «¼viv mƒÞÄfvGe cwigvc Kiv hvq|

P eÕ¦yGK A hG¯¨ jÁ¼fvGe Õ©vcb KiGj cÉavb ˆÕ•Gj 2mm AwZKÌg

KGi Þz`Ë ˆÕ•Gj 8 fvGM wgGj hvq| Avevi, Q eÕ¦yGK A hG¯¨ Õ©vcb

KiGj kƒbÅ `vM AwZKÌg KGi 9 fvGM wgwjZ nq| wK¯¦y B hG¯¨

Õ©vcb KiGj kƒbÅ `vM AwZKÌg KGi 87 fvGM wgwjZ nq|

VC = 0.01cm ‰es LC = 0.01 mm|

K. ˆgŒwjK ivwk Kx? 1

L. hvw¯¨K ò‚wU ejGZ Kx ˆevS| 2

M. P eÕ¦ywUi cÉÕ©GœQG`i ˆÞòdj wbYÆq Ki| 3

N. Q eÕ¦ywUi eÅvm ˆKvb hG¯¨i mvnvGhÅ mwVKfvGe cwigvc Kiv

nq-cÉgvYmn@ eÅvLÅv KGiv| 4

4. ‰KwU Õ˜z-MGR e†îvKvi ˆÕ•Gji fvMmsLÅv 100 ‰es ŠiwLK

ˆÕ•Gji fvMmsLÅv 20, hvi cÉwZ fvGMi gvb 1mm| Õ˜z-MRwU

wbGq wnGgj ˆKvGbv ZvGii eÅvm wbYÆq ŠiwLK I e†îvKvi ˆÕ•j cvV

ˆcj h^vKÌGg 2 ‰es 65| ‰KB jwNÓ¤ MYGbi Aci ‰KwU Õ˜z-MR

wbGq ˆmvGnj ZviwUi cÉÕ©GœQ` wbYÆq Kij 5.53 10–2cm2|

K. jwNÓ¤ MYb KvGK eGj? 1

L. ˆKvGbv wKQy cwigvGc ‰KGKi cÉGqvRbxqZv eÅvLÅv Ki| 2

M. Õ˜z-MR ywUi cÉwZwUi jwNÓ¤ NYb wbYÆq Ki| 3

N. wnGgj I ˆmvGnGji ZvGii wbYxÆZ cÉÕ©GœQG`i ˆÞòdGji gvb

wK ‰KB nGe? KviY weGkÏlY Ki| 4

5. cwigvGci ivwkàGjvi mwVK gƒjÅvqGbi RbÅ ‰KK AwZ

ài‚Z½cƒYÆ| ‰KK cÉavb `y’cÉKvi| (i) ˆgŒwjK ‰KK (ii) jº¬ ‰KK|

weævbxiv ‰ ivwkàGjv msLÅvi ŠeævwbK c«¬wZi mvnvGhÅ mnGR

cÉKvk KGi| ivwki cwigvGci RbÅ wewf®² ˆQvU ‰es eo ‰KK

eÅenvi Kiv nq|

K. `xcb ZxeËZvi ‰KK Kx? 1

L. DÚ `yaiGbi ‰KGKi gGaÅ cv ÆKÅ ˆ`LvI| 2

M. weævbxG`i mnR Dcvq 0.00000314 msLÅvwU cÉKvk Ki| 3

N. ˆkGlvÚ DwÚwUi weGkÏlY Ki| 4

6. Õ˜z-MGRi mvnvGhÅ ZvGii eÅvmvaÆ, mi‚ ˆPvGOi eÅvmvaÆ I ˆQvU

Š`NÆÅ cwigvc Kiv hvq| ‰GZ iGqGQ `yB cÉvG¯¦ `ywU mgv¯¦ivj

evüwewkÓ¡ U AvK‡wZi ˆdÌg KvVvGgv| R‹bK wkÞv^xÆ ‰i mvnvGhÅ

‰KwU cvGòi ˆea wbYÆq KiGZ wMGq cvGòi ŠiwLK ˆÕ•Gji cvV

8mm ‰es e†îvKvi ˆÕ•Gji fvM msLÅv 40 ˆ`LGZ ˆcGjb| ˆm

djvdGj wKQy ò‚wUI ˆ`LGZ ˆcj|

K. jº¬ ‰KK Kx? 1

L. c`v^ÆweævGb wbDUGbi Ae`vb eYÆbv Ki| 2

M. cvGòi cÉÕ©GœQG`i ˆÞòdj wbYÆq Ki| 3

N. ò‚wUgyÚ djvdj cvIqvi RbÅ Kx Kx mZKÆZv AejÁ¼b Kiv

DwPZ eGj Zywg gGb Ki| 4

wbGRGK hvPvB KGiv: eüwbeÆvPwb cÉk²

1 M 2 M 3 M 4 K 5 L 6 M 7 K 8 L 9 M 10 N 11 N 12 K 13 N 14 K 15 N 16 M

17 K 18 L 19 L 20 N 21 M 22 N 23 K 24 M 25 M 26 M 27 L 28 N 29 M 30 N 31 K 32 N

Dîig

vjv

33 N 34 M 35 M