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lh®bf£
Édh ÉilfŸ
1kâ¥bg©
nkšÃiy - Kjyh« M©L
òâa áfu« bjhLnth«
bjhFâ - I & II
áw¥g«r§fŸ
2018 M« M©o‰fhd òâa ghl¤â£l¤â‹go jahÇ¡f¥g£LŸsJ.
xU kâ¥bg© Édh-ÉilfŸ ghlthÇahf ãǤJ ju¥g£LŸsd.
ghlgFâ cŸ Édh¡fŸ, áªjid Édh¡fŸ, nj®î¡fhd K¡»a Édh¡fŸ
M»ait bfhL¡f¥g£LŸsd.
Kjš gUt ïil¤ nj®î (2018-19) [First Mid-2018], fhyh©L¤ nj®î
[QY-2018], muR khâÇ Édh¤jhŸ [Govt. MQP-2018] Édh ÉilfŸ
nr®¡f¥g£LŸsd.
Ruh g¥Ënfõ‹°
br‹id
ïa‰ãaš
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[ii]
Our Guides for +1 Standard✤ Sura’s Tamil✤ Sura’s English✤ Sura’s Will to Win English✤ Sura’s English Workbook✤ Sura’s Mathematics (EM/TM )✤ Sura’s Physics (EM/TM)✤ Sura’s Chemistry (EM/TM)✤ Sura’s Biology (EM/TM)✤ Sura’s Computer Science (EM/TM)✤ Sura’s Commerce (EM/TM)✤ Sura’s Economics (EM/TM)✤ Sura’s Accountancy (EM/TM)✤ Sura’s Business Maths (EM/TM)
Also available Sigaram Thoduvom mini guide (EM/TM) for all Subjects.
2018-19 © btËp£lhs®fŸ
ISBN : 978-93-81650-58-5
F¿p£L v© : SG 180
jiyik mYtyf«:
1620, `n#’ ãsh¡, 16-MtJ ãujhd rhiy, m©zh ef®,
br‹id-600 040. 91-44-26161088, 26161099
96001 75757 / 81242 01000 / 81243 01000, th£°m¥: 8124201000e-mail : [email protected], website : www.surabooks.com
nkY« Étu§fS¡F / bjhl®ò¡F
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ghl¡F¿¥òfË‹bjhF¡f¥g£lgFâfisvkJhttp://tnkalvi.in ïizajs¤âÈUªJïytrkhfgâÉw¡»¡bfhŸsyh«
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[iii]
TO ORDER WITH USSCHOOLS and TEACHERS:
We are grateful for your support and patronage to ‘SURA PUBLICATIONS’
Kindly prepare your order in your School letterhead and send it to us. For Orders contact: 81242 01000 / 81243 01000
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DEMAND DRAFT / CHEQUEPlease send Demand Draft / cheque in favour of ‘SURA
PUBLICATIONS’ payable at Chennai. The Demand Draft / cheque should be sent with your order in School
letterhead.
STUDENTS : Order via Money Order (M/O) to
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bjhFâ - I
1. ïašcyf¤â‹j‹ikí«
mså£oaY« ........................................... 1 - 12
2. ïa¡fÉaš ............................................. 13 - 21
3. ïa¡fÉâfŸ ......................................... 22 - 43
4. ntiy,M‰wšk‰W«âw‹ ............... 44 - 61
5. JfŸfshyhdmik¥òk‰W«
â©k¥bghU£fË‹ïa¡f« .............. 62 - 76
bjhFâ - II
6. <®¥ãaš ..................................................... 77 - 85
7. gU¥bghUË‹g©òfŸ ........................ 86 - 94
8. bt¥gK«bt¥gïa¡fÉaY« .......... 95 - 101
9. thí¡fË‹ïa¡fÉa‰bfhŸif ....102 - 108
10. miyîfŸ .............................................109 - 116
11. miyfŸ ................................................117 - 124
[iv]
bghUsl¡f«
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bjhFâ - I
1. ïaš cyf¤â‹ j‹ikí«
mså£oaY«
kâ¥ÕL
1. mo¥gil kh¿ÈfËš ïUªJ hc
G v‹w xU rk‹ghL
bgw¥gL»wJ. ïªj rk‹gh£o‹ myF
(a) kg2 (b) m3 (c) s –1 (d) m [Éil. (a) kg2]
2. xU nfhs¤â‹ Mu¤ij msÉLjÈš ãiH 2% vÅš, mj‹ fd msit¡ fz¡»LjÈ‹ ãiHahdJ.
(a) 8% (b) 2% (c) 4% (d) 6% [Éil. (d) 6%]
3. miyîW« CrÈ‹ Ús« k‰W« miyî neu« bg‰WŸs ãiHfŸ Kiwna 1% k‰W« 3% vÅš <®¥ò KL¡f« msÉLjÈš V‰gL« ãiH [AMPMT 2008](a) 4% (b) 5% (c) 6% (d) 7%
[Éil. (d) 7%]4. bghUbsh‹¿‹ Ús« 3.51 m vd msÉl¥g£LŸsJ.
JšÈa¤j‹ik 0.01 m vÅš, mså£o‹ ÉG¡fh£L¥ ãiH
(a) 351% (b) 1%(c) 0.28% (d) 0.035% [Éil. (c) 0.28%]
5. Ñœf©lt‰WŸ mâf K¡»a v©QU¡fis¡ bfh©lJ vJ? [First Mid-2018](a) 0.007 m2 (b) 2.64 × 1024 kg(c) 0.0006032 m2 (d) 6.3200 J [Éil. (d) 6.3200 J]
6. π ï‹ kâ¥ò 3.14 vÅš π2 ï‹ kâ¥ò [QY-2018](a) 9.8596 (b) 9.860(c) 9.86 (d) 9.9 [Éil. (c) 9.86]
[1]
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RuhÉ‹ ïa‰ãaš 11 M« tF¥ò - bjhFâ - I 1 kâ¥bg© 7
21. Éir = X
Density bfhL¡f¥g£l rk‹gh£oš X-‹
gÇkhzf§fŸ ahJ? [First Mid-2018]
(a) M1L4 T–2 (b) M2L–2 T–1
(c) M2L–2 T–2 (d) M1L–2 T–1
[Éil. (c) M2L–2 T–2]
22. bghUbsh‹¿‹ Ãiw 4.27 g k‰W« mj‹ gUk‹ 1.3 cm3 vÅš, m¥bghUË‹ ml®¤âÆ‹ K¡»a v©QU¡fË‹ v©Âif [Govt.MQP-2018]
(a) 1 (b) 2 (c) 3 (d) 4 [Éil. (d) 4]
23. ÚÇ‹ K¥òŸË bt¥gÃiy _______. [QY-2018]
(a) 273.16 K (b) 237.16 C(c) 273.16 C (d) 0 K [Éil. (a) 273.16 K]
24. Ãiw, bt¥gÃiy, Ä‹ndh£l« M»ait [QY-2018]
(a) mo¥gil msîfŸ (b) °nfyh®
(c) bt¡l®msîfŸ (d) (a) k‰W« (b)ïu©L«
[Éil. (d) (a) k‰W« (b) ïu©L«]
nj®î¡fhd K¡»a Édh¡fŸ
1. thÅaš fhy msîfŸ k‰W« ik¡nuh°nfhã¡ msî¡Fkhd å¢R.
(a) 1015s Kjš10–15s (b) 109s Kjš10–18s(c) 1018s Kjš10–22s (d) 1011s Kjš10–16s [Éil. (c) 1018s Kjš 10–22s]
2. ã‹tU« mo¥gil Éirfis mj‹ bjhl®òila tÈikíl‹ bghU¤Jf.
1. òÉ <®¥ò Éir a 12. Ä‹ fhªj Éir b 10–39
3.tÈikFiwªjÃô¡Ëa®Éir c 10–2
4.tÈikahdÃô¡Ëa®Éir d 10–13
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RuhÉ‹ ïa‰ãaš 11 M« tF¥ò - bjhFâ - I 1 kâ¥bg© 9
10. 2.64 × 104 kg š cŸs K¡»a v©QU¡fË‹ v©Â¡if.
(a) 2 (b) 4 (c) 5 (d) 3 [Éil. (d) 3]
11. ã‹d¥ãiH ∆x
x
(a) ±∆
aa
(b) ± ∆
n a
a
(c) ± ∆
n a
aelog
(d) ± ∆
n a
alog10
[Éil. (b) ± ∆
n a
a]
áªjid Édh¡fŸ
1. xU JfË‹ ïl¥bga®¢á X-m¢áš fhy¤ij¥ bghU¤J ïa§F»wJ vÅš x = at + bt2– ct3. b ‹ gÇkhz§fŸ
(a) L°T–3 (b) L°T–3 (c) LT–2 (d) LT–3
[Éil. (c) LT–2]F¿¥ò : x = at + bt2 – ct3
L = aT + bT2 – cT3 ∴b = LT–2
2. E k‰W« B v‹gJ Ä‹òy«, k‰W« fhªj¥òy« vÅš E, B ¡fhd É»j¤â‹ gÇkhz«
(a) nfhz« (b) KL¡f«
(c) âir ntf« (d) ïl¥bga®¢á
[Éil. (c) âir ntf«]F¿¥ò :
� � � �F = + ×q(E B)v ;
�E ‹ gÇkhz« v
�B ¡Frk«.
EB
‹ gÇkhz« = v Æ‹ gÇkhz«.
3. Éir |F|, âirntf« |v| k‰W« fhy« |T| v‹gd mo¥gil myFfŸ vÅš ÃiwÆ‹ gÇkhz§fŸ.
(a) Fv–1T (b) Fv–1T (c) FvT–1 (d) FvT–2 [Éil. (c) FvT–1]
F¿¥ò :
F = = −mvt
[ ] [F T]m v 1 ∵a vt
=
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2. ïa¡fÉaš
kâ¥ÕL
1. ã‹tU« vªj fh®Oáa‹ Ma m¢R¤bjhF¥ò ïa‰ãaÈš ga‹gL¤j¥gLtâšiy?
(a)
z
xy (b)
zx
y
(c) z
x
y
(d) z
x
y
[Éil. (d) z
x
y
]
2. ã‹tUtdt‰WŸ vJ XuyF bt¡l®?
(a) i j∧ ∧+ (b)
i∧
2
(c) k j∧∧
−2
(d) i j∧ ∧
+2
[Éil. (d) i jŸŸ ŸŸ++
2]
3. ã‹tUtdt‰WŸ vªj ïa‰ãaš msî °nfyuhš F¿¥ãl ïayhJ?
(a) Ãiw (b) Ús«
(c) cªj« (d) KL¡f¤â‹v©kâ¥ò
[Éil. (c) cªj«]
[13]
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RuhÉ‹ ïa‰ãaš 11 M« tF¥ò - bjhFâ - I 1 kâ¥bg© 19
nj®î¡fhd K¡»a Édh¡fŸ
1. ã‹tU« R‰¿š vJ c©ik?
(a) °nfy®msîxUeilKiwiacŸsl¡»aJ.
(b) °nfy®msîbt‰¿l¤âšxUòŸËÆÈUªJk‰bwh®
òŸËÆšntWglhJ.
(c) °nfy® msîfS¡F v©kâ¥ò k£Lnk c©L. âir
ïšiy.
(d) xU °nfy® msî vâ®kiw kâ¥òfËš vL¤J¡
bfhŸs¥glhJ. [Éil. (c) °nfy® msîfS¡F
v©kâ¥ò k£Lnk c©L. âir ïšiy]2. A = i + j k‰W« B = i – j ïa‰¿‰»ilnaahd nfhz«
(a) 45° (b) 90° (c) –45° (d) 180° [Éil. (b) 90°]
3. Ãiybt¡l® �r ‹ TW x m¢áš bgU« kâ¥ò bgW« vÅš
(a) �r –xm¢ášcŸsnghJ
(b) �r –xm¢Rl‹nfhz«45°cUth¡F«nghJ
(c) �r –ym¢ášcŸsnghJ
(d) �r – vâ®kiw ym¢ášcŸsnghJ
[Éil. (a) �r –x m¢áš cŸsnghJ]
4. xU v¿bghUË‹ »il¤js beL¡f« 50 m. v¿a¥g£l nfhz« 15° ïJ 45° nfhz¤âš v¿a¥g£lhš ïj‹ beL¡f«
(a) 125 m (b) 75 m (c) 100 m (d) 150 m
[Éil. (c) 100 m]5. ã‹tUtdt‰¿š ïU gÇkhz ïa¡f«
(a) j©lths¤âšbršY«xUòift©oÆ‹ïa¡f«
(b) òÉ¡FmU»šòÉ<®¥ãdhšjilÆ‹¿ÉG«ïa¡f«
(c) xU JfshdJ xU js¤âš xU tisî¥ ghijÆš
ïa§FtJ
(d) gy¤jfh‰WåR«nghJxUg£l¤ij¥gw¡fÉLjš.
[Éil. (c) xU JfshdJ xU js¤âš xU tisî¥
ghijÆš ïa§FtJ]
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20 RuhÉ‹ 11 M« tF¥ò áfu« bjhLnth« lh®bf£ ïa‰ãaš
6. »uhÄa Éisah£lhd ‘»£oòŸ’Ëš òŸË‹ ghij
(a) t£l¥ghij (b) ne®¡nfh£L¥ghij
(c) gutisa¥ghij (d) tisî¥ ghij [Éil. (c) gutisa¥ ghij]
7. xU KG t£l« ______ nuoaid¡ F¿¡F«.
(a) 60 (b) π (c) 2π (d) π180
[Éil. (c) 2π]
áªjid Édh¡fŸ
1. »il¤js¤Jl‹ 30° nfhz¤âš 30ms–1 v‹w âirntf¤Jl‹ bghUbsh‹W v¿a¥gL»wJ. mj‹ gw¡F« fhy¤ij¡ fz¡»Lf.
(a) 3.06s (b) 30.6s(c) 3.06 min (d) 30.6 min [Éil. (a) 3.06s]
F¿¥ò :
gw¡F«fhy«( tf ) = 2 2 30 30
9 8µ θsin sin
.g=× ×
= 60 0 5
9 8´ ..
= 3.06s
2. 6kg ÃiwíŸs bghUŸ x‹¿‹ ÛJ brašgL« Éir mj‹
âirntf¤ij 3ms–1 ÈUªJ 5 ms–1 ¡F kh‰W»wJ.
ÉirÆ‹ jh¡f¤ij¡ fz¡»Lf. 2 behofS¡F Éir brašgh£lhš m›Éir ................ .
(a) 12N (b) 6N (c) 18N (d) 0.6N [Éil. (b) 6N]
3. 30kg ÃiwíŸs bg£o x‹iw jiyÛJ RkªJ bfh©oU¡F« xUt® br§F¤jhf¢ brŒj ntiy ahJ?
(a) 2940 kJ (b) 2940 erg(c) 2940J (d) ïitvJî«ïšiy
[Éil. (c) 2940J]
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[22]
3. ïa¡f ÉâfŸ
kâ¥ÕL
1. tisî¢ rhiy x‹¿š fh® x‹W âObu‹W ïlJòwkhf¤ âU«ò« nghJ m¡fhÇYŸs gaÂfŸ tyJòwkhf¤ jŸs¥gLtj‰F, ã‹tUtdt‰WŸ vJ fhuzkhf mikí«?
(a) âirÆš Ãiyk« [QY-2018](b) ïa¡f¤âšÃiyk«
(c) XŒÉš Ãiyk«
(d) Ãiykk‰w j‹ik [Éil. (a) âirÆš Ãiyk«]2. ã‹tU« gl¤âš fh£l¥g£LŸsthW, m v‹w Ãiw br§F¤J¢
Rtbuh‹W eGthkš Égj‰fhf F v‹w »il¤js Éir mªÃiwÆ‹ ÛJ brY¤j¥gL»wJ. ïªÃiyÆš »il¤jŸ Éir F‹ áWk kâ¥ò v‹d? (IIT JEE 1994)(a) mg IÉl¡Fiwî Wall
Fm(b) mg ¡F¢rk«
(c) mg I Él mâf«
(d) f©l¿aKoahJ [Éil. (c) mg I Él mâf«]
3. ne®¡F¿ X m¢R¤ âirÆš br‹W bfh©oU¡F« thfd¤â‹ jilia (brake) âObu‹W brY¤J«nghJ eilbgWtJ vJ?
(a) v⮡F¿ X m¢R¤âirÆš thfd¤â‹ÛJ cuhŒîÉir brašgL«.
(b) ne®¡F¿ X m¢R¤âirÆš thfd¤â‹ÛJ cuhŒîÉir brašgL«.
(c) thfd¤â‹ÛJv›ÉjcuhŒîÉirí«brašglhJ.
(d) Ñœneh¡»aâirÆšcuhŒîÉirbrašgL«.
[Éil. (a) v⮡F¿ X m¢R¤âirÆš thfd¤â‹ÛJ cuhŒî Éir brašgL«.]
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26 RuhÉ‹ 11 M« tF¥ò áfu« bjhLnth« lh®bf£ ïa‰ãaš
ghl¥ gFâ cŸ Édh¡fŸ
1. ÉirÆ‹ mo¥gil tiuaiwia¤ jUtJ
(a) _‹wh« Éâ
(b) Ãô£lÅ‹KjšÉâ
(c) Ãô£lÅ‹ïu©lh«Éâ
(d) ïitmid¤J«
[Éil. (b) Ãô£lÅ‹ Kjš Éâ]2. braš k‰W« vâ®braš.
(a) ïUbt›ntWbghUŸfŸÛJbrašgL«
(b) vâ®âirÆš brašgL«
(c) rkkhd msîilahJ
(d) ïitmid¤J« [Éil. (d) ïit mid¤J«]3. xU gªJ bjhl¡f cªj« Píl‹ xU Éiw¥ghd RtUl‹
F¤jhf nkhJ»wJ. P1v‹gJ ne®¡nfh£L cªj« KG Û£á nkhjY¡F ã‹ vÅš,
(a) P1 = P (b) P1 = –P(c) P1 = 2P (d) P1 = –2P
[Éil. (b) P1 = –P]
4. xU fdkhd ïU«ò j©o‹ vil W xUKid jiuÆ‹ ÛJ cŸsJ. ïj‹ k‰bwhU Kid xU egÇ‹ njhŸg£ilÆš cŸsJ. j©L »ilk£l¤Jl‹ cUth¡F« nfhz« θ, kÅjdhš czu¥gL« vil v‹d?
(a) W sin θ (b) W cos θ(c) W (d) 2
W [Éil. (d) 2
W]
5. fz¤jh¡»‹ gÇkhz« ïjid x¤jJ.
(a) Éir (b) cªj«(c) M‰wš (d) KL¡f«
[Éil. (b) cªj«]6. cªj« v‹gJ ïjDl‹ beU§»a bjhl®ò cilaJ.
(a) Éir (b) fz¤jh¡f«(c) M‰wš (d) KL¡f«
[Éil. (b) fz¤jh¡f«]
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RuhÉ‹ ïa‰ãaš 11 M« tF¥ò - bjhFâ - I 1 kâ¥bg© 35
14. xU Éir 2 N »il¤js¤Jl‹ V‰gL¤J« nfhz« 45º. x âirÆš ÉirÆ‹ v¡TW cŸsJ?
(a) RÊ (b) 1 N(c) 2 N (d) 2.5 N [Éil. (b) 1 N]
áªjid Édh¡fŸ
1. xU f¥gÈ‹ Ãiw 3×106 bjhl¡f¤âš XŒî ÃiyÆš cŸsJ. ïJ 6×104 Éirahš 4m bjhiyɉF ïG¡f¥gL»wJ vÅš f¥gÈ‹ ntf« (ÚÇ‹ kW¥ò òw¡f¡f¤j¡fJ)
(a) 1.5 m/s (b) 20 m/s(c) 0.5 m/s (d) 0.4 m/s [Éil. (d) 0.4 m/s]
F¿¥ò : a = mF = 3 × 106
6 × 104 = 2× 10–2 ms–2
ntf« V = 2 2 2 10 42as = × × ×−
= 16 10 2× − =
2 2 2 10 42as = × × ×−
= 16 10 2× − = 4 × 10–1 = 0.4
2. ïU f£ofË‹ ÃiwfŸ 2m & m Ãiwa‰w, Û£á¤
2mm
A
B
j‹ika‰w f«ãahš ïiz¡f¥g£LŸsJ. f«ãia bt£oa cl‹ A k‰W« B‹ KL¡f¤â‹ msîfŸ.
(a) g2 ,g (b) g, g
(c) g, g2 (d)
g2 ,
g2
[Éil. (a) g2
, g]
F¿¥ò :
A B2m m
2mg mg
3 mg
F Bd
aA aB
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36 RuhÉ‹ 11 M« tF¥ò áfu« bjhLnth« lh®bf£ ïa‰ãaš
bt£Ltj‰FK‹nkšneh¡»aÉirkx = 3mg bt£oaãwFJ©LA : 2m aA = 3mg – 2mg
aA = g2
bt£oaãwFJ©LB : m aB = mg = aB = g.
3. xU f£oÆ‹ Ãiw M »ilk£l cuhŒt‰w gu¥ã‹ ÛJ
m Ãiwíila fƉ¿dhš ïG¡f¥gL»wJ. fƉ¿‹ gS
ïšyhj KidÆš Éir brašgL¤j¥gL»wJ. f£o‹ ÛJ
fƉwhš mË¡f¥gL« Éir?
(a) MF
M + m (b)
MMF
+ m
(c) M
M − m.F (d) M
M− m .F
[Éil. (a) MF
M + m]
F¿¥ò : F = (M + m)a (or) a = F
M + m fƉwhšbrašgL¤j¥gL«Éir= a =
MFM + m
4. _‹W ÉirfŸ F1, F2 & F3 JfË‹ ÛJ brašgL»‹wd.
mjhtJ F2 & F3 x‹W¡bfh‹W br§F¤jhf cŸsd.
JfshdJ Ãiyahf cŸsJ. Éir F1 Ú¡f¥gLkhdhš
JfË‹ KL¡f«.
(a) F1
m (b)
F FF
2 3
m (c)
F F2 3−m
(d) F2
m
[Éil. (a) F1
m]
F¿¥ò : JfŸfŸÃiyahfïU¡»‹wdÉirfŸ
brašgL«nghJ F1 + F2 + F3 = 0.
F1 Ú¡f¥gL«nghJ= F F F2 3 1+ = −→
a = –F→
1
m
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[44]
4. ntiy, M‰wš k‰W« âw‹
kâ¥ÕL
1. 2 i j∧ ∧+( ) N v‹w Óuhd Éir 1 kg ÃiwíŸs xU
bghUË‹ÛJ brašgL»wJ. bghUshdJ 3 j k∧ ∧
+( ) v‹w
Ãiy Kjš 5 3i j∧ ∧+( ) v‹w Ãiy tiu ïl«bgaU»wJ.
bghUË‹ ÛJ ÉirÆdhš brŒa¥g£l ntiy (AIPMT khâÇ 2013)
(a) 9 J (b) 6 J(c) 10 J (d) 12 J [Éil. (c) 10 J]
﨔 : F 1 2
→ ∧ ∧ → ∧ ∧ → ∧ ∧= +( ) = +( ) = +( )2 3 5 3i j i k i j, ,r r
∴W = F S F 2 1
→ → → → →= −. . r r ∵ S 2 1
→ → →= −( )r r
ïl¥bga®¢á
W = 2 5 10i j i∧ ∧ ∧
+( ) =. J
2. 80 m cauKŸs xU f£ol¤â‹ nkÈUªJ 1 kg k‰W« 2 kg ÃiwíŸs gªJfŸ nghl¥gL»wJ. òÉia neh¡» x›bth‹W« 40 m ÉGªj ãwF mt‰¿‹ ïa¡f M‰wšfË‹ É»j« (AIPMT khâÇ 2013)(a) 2 1: (b) 1 2:(c) 2 : 1 (d) 1 : 2 [Éil. (d) 1 : 2]
﨔 : m1gh1 = 12 m1v1
2
m2gh2 = 12 m2v2
2
K.E. ‹É»j«1 402 40
4080
1 2× ×× ×
= =gg
:
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RuhÉ‹ ïa‰ãaš 11 M« tF¥ò - bjhFâ - I 1 kâ¥bg© 53
15. m ÃiwíŸs xU bghUŸ jiuÆÈUªJ h cau¤â‰F khwh âirntf¤âš vL¤J¢ bršy¥g£lhš <®¥ò ÉirÆdhš brŒa¥g£l ntiy [Govt.MQP-2018]
(a) W = mgh (b) W = –mgh(c) W = 0 (d) W = 2 mgh [Éil. (b) W = –mgh]
16. brŒa¥g£l ntiy JfŸ ef®ªj ghijia¢ rh®ªâU¡fÉšiybaÅš, m¤JfË‹ ÛJ brašg£l Éir
(a) M‰wš kh‰W« Éir [Govt.MQP-2018](b) M‰wš kh‰wh Éir
(c) Ãô£lÅ‹ Éir
(d) ikaÉy¡FÉir [Éil. (b) M‰wš kh‰wh Éir]17. xU Fâiu¤âw‹ v‹gJ [Govt.MQP-2018]
(a) 707 W (b) 786 W(c) 746 W (d) 647 W [Éil. (c) 746 W]
nj®î¡fhd K¡»a Édh¡fŸ
1. xU ÓuhdghijÆ‹ ÛJ xU fh® KL¡f¥g£oU¡»wJ mj‹ bjhl¡f âir ntf¤âš 3 kl§»id mil»wJ. ïjdhš fhÇ‹ Ãiy M‰wš.
(a) khwhJ
(b) bjhl¡f«nghšïUkl§F
(c) bjhl¡f«nghš4kl§fhF«
(d) bjhl¡f¤ij¥nghš16kl§fhF«. [Éil. (a) khwhJ]2. xU ïU«ò nfhs¤â‹ Ãiw 8 kg jhÄu¡ nfhs¤â‹ Ãiw
4 kg ïu©L« xnu É£l« cilaJ. xU nfhòu¤âÈUªJ ïU nfhs§fisí« xnu rka¤âš ÑnH nghl¥gL»wJ. jiu¡F nkny 10 m cau¤âš cŸs nghJ miy ïu©L« rkkhd ________ bg‰¿U¡F«
(a) KL¡f« (b) cªj«
(c) Ãiy M‰wš (d) ïa¡fM‰wš
[Éil. (a) KL¡f«]
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[62]
5. ïaš cyf¤â‹ j‹ikí«
mså£oaY«
kâ¥ÕL
1. JfŸfshš Md mik¥ã‹ Ãiw ika« rhuhâU¥gJ (AIPMT 1997, AIEEE 2004) (a) JfŸfË‹Ãiy
(b) JfŸfS¡»ilnacŸsbjhiyî
(c) JfŸfË‹Ãiw
(d) JfË‹ÛJbrašgL«Éir
[Éil. (d) JfË‹ ÛJ brašgL« Éir]2. ïu£il cUth¡FtJ (AIPMT 1997)
(a) RH‰áïa¡f«
(b) ïl¥bga®¢áïa¡f«
(c) RH‰ák‰W«ïl¥bga®¢á
(d) ïa¡fÄ‹ik [Éil. (a) RH‰á ïa¡f«]3. JfŸ x‹W khwhj âirntf¤Jl‹ X m¢R¡F ïizahd
ne®nfh£o‹ tÊna ïa§» bfh©oU¡»wJ. Mâia¥ bghU¤J v©zsÉš mj‹ nfhz cªj«. (IIT 2002)(a) RÊ
(b) x I¥bghU¤JmâfÇ¡»wJ
(c) x I¥bghU¤JFiw»wJ
(d) khwhjJ [Éil. (d) khwhjJ]4. 3 kg Ãiwí« 40 cm MuK« bfh©L cŸçl‰w cUisÆ‹
ÛJ fÆW x‹W R‰w¥g£LŸsJ. fƉiw 30 N Éiria bfh©L ïG¡f¥gL« nghJ cUisÆ‹ nfhz KL¡f¤ij fh©f. (NEET 2017)
(a) 0.25 rad s–2 (b) 25 rad s–2
(c) 5 m s–2 (d) 25 m s–2
[Éil. (b) 25 rad s–2]
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66 RuhÉ‹ 11 M« tF¥ò áfu« bjhLnth« lh®bf£ ïa‰ãaš
ghl¥ gFâ cŸ Édh¡fŸ
1. eh‹F x¤j cUisfŸ x›bth‹¿‹ Ãiw m 2 Û g¡f msîbfh©l rJu¤â‹ _iyfËš it¡f¥gL»‹wd. _iyÉ£l§fŸ rªâ¡F« òŸËia rªâ¡F« òŸË, Mâ¥òŸËahf bfh©lhš (Origin) Ãiwika¤â‹ Ma m¢R¥òŸËfŸ.
(a) (1, 1) (b) (0, 0)(c) (1, –1) (d) (–1, 1) [Éil. (b) (0, 0)]
2. cªj Éir v‹gJ
(a) nfhzcªj« (b) âU¥ò Éir
(c) ïu£il (d) vJîÄšiy
[Éil. (b) âU¥ò Éir]3. xU ïu£il ______ ïa¡f¤ij c©Lg©Q«
(a) ne®¡nfh£Lk‰W«RH‰á
(b) RH‰ák£L«
(c) ne®¡nfh£Lïa¡f«k£L«
(d) vJîÄšiy [Éil. (b) RH‰á k£L«]4. nfhz cªj« v‹gJ
(a) ne®¡nfh£Lcªj¤â‹âU¥ò¤âw‹
(b) Ãiwk‰W«nfhz¤âirntf¤â‹bgU¡f‰gy‹
(c) Ãiyk¤âU¥òâw‹ k‰W« âirntf« ït‰¿‹
bgU¡fškâ¥ò
(d) nfhzïa¡f¤â‹âU¥ò¤âw‹
[Éil. (a) ne®¡nfh£L cªj¤â‹ âU¥ò¤âw‹]5. ã‹tUtdt‰¿š vj‰F mâfkhd Ãiy¤âU¥ò¤âw‹
cŸsJ?
(a) xUtisa«mj‹m¢Rjs¤â‰Fbr§F¤jhfcŸsJ.
(b) t£Lmj‹m¢Rjs¤â‰Fbr§F¤jhfcŸsJ
(c) â©k¡nfhs«
(d) r£l¡fhªj«
[Éil. (a) xU tisa« mj‹ m¢Rjs¤â‰F br§F¤jhf cŸsJ.]
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RuhÉ‹ ïa‰ãaš 11 M« tF¥ò - bjhFâ - I 1 kâ¥bg© 69
nj®î¡fhd K¡»a Édh¡fŸ
1. ‘m’ k‰W« ‘M’ vD« ïU Ãiwfisí« ïiz¡F«nghJ Ãiw ika« v§F mikí«?
(a) mneh¡»
(b) Mneh¡»
(c) m¡F«M¡F«ïilna
(d) m k‰W« MÈUªJÉy» [Éil. (b) M neh¡»]2. ïU bghU£fË‹ ÃiwfŸ Kiwna 2 kg k‰W« 3 kg
i j k∧ ∧ ∧+ +2 k‰W« ( )− − +
∧ ∧ ∧4 3 6i j k Ãiy bt¡l®fŸ cilad
ã‹tUtdt‰¿š vJ ï›tik¥ã‹ Ãiwika¤â‹ Ãiw bt¡l®fŸ.
(a) –3i –j (b) 5i – j + 2k
(c) − − +∧ ∧ ∧
2i j k4 (d) − − +∧ ∧ ∧
3i j k7
[Éil. (c) − − +∧ ∧ ∧2 4i j k ]
3. ïu©L bghU£fŸ bjhl¡f¤âš XŒî ÃiyÆš cŸsd. mt‰¿‹ mf ft®¢á Éirahš x‹iwbah‹W neh¡» ef®»‹wd. VjhtJ xU òŸËÆš ït‰¿‹ ntf§fŸ 4v k‰W« 2v Mf ïUªjhš ï›tik¥ã‹ Ãiwika¤â‹ ntf«.
(a) 2v (b) RÊ (c) v (d) 1.5 v [Éil. (b) RÊ]
F¿¥ò.ï›tik¥ã‹ VJ« Ãiwika¤âš brašglhj nghJ
bjhF¥ghdJMŒîÃiyÆšïU¡F«(cm ‹ntf«RÊ).
4. xU bghUË‹ ÛJ Éir brašgL«nghJ, mj‹ brašnfhLfŸ <®¥ò ika¤â‹ tÊna bršyÉšiybaÅš mâš V‰gL« Ãfœî.
(a) nfhzKL¡f«
(b) ne®¡nfh£LKL¡f«
(c) nfhzKL¡f«k‰W«ne®¡nfh£LKL¡f«
(d) vJîÄšiy [Éil. (c) nfhz KL¡f« k‰W« ne®¡nfh£L KL¡f«]
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72 RuhÉ‹ 11 M« tF¥ò áfu« bjhLnth« lh®bf£ ïa‰ãaš
áªjid Édh¡fŸ
1. ïu©L f£ofË‹ ÃiwfŸ 20 kg k‰W« 5 kg xU RUŸÉš _y« ïiz¡f¥g£L cuhŒt‰w »il¤js¤âš it¡f¥gL»wJ. fdkhd f£o¡F xU cªj« 15 m/s âirntf¤ij nyrhd ãsh¡ cŸs âirÆš bfhL¡f¥gL»wJ. Ãiwika¤â‹ âir ntf«.
(a) 22 ms–1 (b) 30 ms–1
(c) 12 ms–1 (d) 15 ms–1
[Éil. (c) 12 ms–1]
F¿¥ò. Vcm = m v m vm m
1 1 2 2
1 2
++
[v1 = 15 m/s, v2 = 0, m1 = 20kg m2 = 5 kg]
Vcm = 20 15 5 0
2530025
× + × = = 12
2. ïU x¤j JfŸfŸ x‹iwbah‹W neh¡» 2v k‰W«
v âirntf¤Jl‹ ef®»‹wd. Ãiw ika¤â‹ âirntf«
(a) v (b) v3
(c) v2
(d) RÊ [Éil. (c) v
2]
F¿¥ò. Vcm = m v m vm m
1 1 2 2
1 2
++
[m1 = m2 = m, 2v = v1, v2 = –v]
3. _‹W x¤j nfhs tot¡ TLfŸ x›bth‹¿‹ Ãiw ‘m’ Mu« ‘r’ XX′ m¢rhdJ ïu©L TLfis¤bjh£L¡ bfh©L« _‹wh« T£o‹ É£l¤â‹ tÊahf¢ brštjhf¡ bfhŸnth«. vÅš XX′ m¢ir¥g‰¿a Ãiyk¤âU¥ò¤âw‹
(a) 3mr2 (b) 4mr2
(c) 165 mr2 (d) 11
5 mr2
[Éil. (b) 4mr2]F¿¥ò.(ïizm¢R¤nj‰w¤ij¥ga‹gL¤j)
Ixx′ s= I1(É£l«)+I2(nfhL)+I3 (bjhLnfhL)
X
X′
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76 RuhÉ‹ 11 M« tF¥ò áfu« bjhLnth« lh®bf£ ïa‰ãaš
13. xU mik¥ò ïU Ãiwfis cilaJ. mJ ïiz¡f¥g£LŸs ÃiwÆšyh j©L x m¢áš »l¡»wJ 0.2 kg Ãiw x = 0.5 m bjhiyÉY«, 0.3 kg Ãiw x = 1m v‹w bjhiyÉY« ïUªjhš x‹ Ma m¢R¤ bjhiyÉš Ãiwika¤â‹ bjhiyî.
(a) 2.5m (b) 5m(c) 22.5m (d) 0.8m [Éil. (d) 0.8m]
F¿¥ò. x = m r m rm m1 1 2 2
1 2
0 2 0 5 0 3 10 5
++
= × + ×( . . ) ( . ).
= 0.8
14. j‰nghJ mm Mu¤âÈUªJ 0.75 jlitfŸ âObud òÉ RU§Fkhdhš mj‹ gfš bghGâ‹ Ús«.
(a) 12 hr (b) 18 hr(c) 15.5 hr (d) 13.5 hr [Éil. (d) 13.5 hr]
F¿¥ò. I1w1 = I2w2
25
2 25
212
12
2
2MR
TMR
T
= π π ; 0.75 R1 = R2
TR2
1
1
2
1=
0.75R
T = 13.5 hr
15. xU RHY« bghUË‹ nfhz cªj« ïu£o¥ghF« nghJ mj‹ RH‰áÆ‹ ïa¡f M‰wš K.ERoT(a) 2 jlitfŸ (b) 4 jlitfŸ
(c) ghâahf (d) 8 jlitfŸ
[Éil. (b) 4 jlitfŸ]F¿¥ò.
L = Iw K.E. = 12 Iw2 = E
LL
EE
1 1= Iw2 = 2E (Iw)2 = 2EI
2 1 1= ∴EE
E = 4E
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[77]
bjhFâ - II
6. <®¥ãaš
kâ¥ÕL
1. nfhË‹ Ãiy bt¡lU« nfhz cªjK« x‹W¡bfh‹W br§F¤jhf miktJ
(a) m©ikÃiyk‰W«nrŒikÃiyÆY«(b) mid¤JòŸËfËY«(c) m©ik ÃiyÆš k£L«
(d) v¥òŸËÆY«mšy
[Éil. (a) m©ik Ãiy k‰W« nrŒik ÃiyÆY«]
2. âObud òÉ k‰W« NÇaÅ‹ ÃiwfŸ ïUkl§fhf kh¿dhš, mitfS¡»ilnaahd <®¥ãaš Éir
(a) khwhJ (b) 2kl§FmâfÇ¡F«
(c) 4kl§FmâfÇ¡F«
(d) 2 kl§F Fiwí« [Éil. (c) 4 kl§F mâfÇ¡F«]
3. NÇaid xU nfhŸ ÚŸt£l¥ ghijÆš R‰¿ tU»wJ. nfhË‹ m©ik bjhiyî (r1) k‰W« nrŒik¤ bjhiyî
(r2) fËš âirntf§fŸ Kiwna v1 k‰W« v2 vÅš vv
1
2=
(a) rr
rr
rr
rr
2
1
1
2
2
1
2
1
2
2
(b) rr
rr
rr
rr
2
1
1
2
2
1
2
1
2
2
(NEET 2016)
(c) rr
rr
rr
rr
2
1
1
2
2
1
2
1
2
2
(d) rr
rr
rr
rr
2
1
1
2
2
1
2
1
2
2
[Éil. (a) rr
rr
rr
rr
2
1
1
2
2
1
2
1
2
2
]
4. òÉÆid t£l¥ghijÆš R‰¿ tU« Jiz¡nfhË‹ R‰W¡fhy« vjid rh®ªjJ mšy?
(a) R‰W¥ghijÆ‹Mu«
(b) Jiz¡nfhË‹Ãiw
(c) R‰W¥ghijÆ‹Mu« k‰W« Jiz¡nfhË‹ ÃiwM»aïu©ilí«
(d) R‰W¥ghijÆ‹Mu« k‰W« Jiz¡nfhË‹ ÃiwM»aïu©ilí«mšy.
[Éil. (b) Jiz¡nfhË‹ Ãiw]
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80 RuhÉ‹ 11 M« tF¥ò áfu« bjhLnth« lh®bf£ ïa‰ãaš
ghl¥ gFâ cŸ Édh¡fŸ
1. bf¥sÇ‹ ïu©lh« ÉâÆš KL¡f« rh®ªJ xU nfhË‹ Mubt¡l® rk fhy ïilbtËfËš rkgu¥ãid flªJ brš»wJ vÅš ã‹tUtdt‰¿š ÉâÆ‹ khwhÉisî
(a) ne®¡nfh£Lcªj« (b) nfhzcªj«
(c) M‰wš (d) Ãô£lÅ‹<®¥ãašÉâ
[Éil. (b) nfhz cªj«]
2. xU bghUË‹ ÉLgL âirntf« rh®ªJŸs Ãiw
(a) m° (b) m(c) m2 (d) m3 [Éil. (a) m°]
3. óÄÆ‹ ika¤âš xU bghUË‹ vil
(a) KoÉÈ (b) RÊ
(c) óÄÆ‹gu¥ã‹Ûjhdvil¡Frk«
(d) 5kl§F [Éil. (b) RÊ]
4. ïu©L nfhŸfË‹ Mu§fË‹ É»j« k. <®¥ò KL¡f§fS¡fhd É»j« s. ïj‹ ÉLgL ntf¤â‰fhd É»j«
(a) ks
sk
k s − (b) ks
sk
k s − (c) ks
sk
k s − (d) ks
[Éil. (c) ks
sk
k s − ]5. òÉÆ‹ Mu« 1 rjåj« RU§Fkhdhš mj‹ Ûjhd òÉp®¥ò
KL¡f« (ÃiwÆš kh‰w« ïšiy)
(a) Fiwí« (b) TwïayhJ
(c) khwhjJ
(d) mâfÇ¡F« [Éil. (d) mâfÇ¡F«]6. òÉÆ‹ ika¥ gFâÆÈUªJ JUt¥ gFâ¡F efU«nghJ
<®¥ò KL¡f¤â‹ kâ¥ò
(a) KjÈšmâfǤJã‹Fiwí«
(b) Fiwí«
(c) xnukhâÇ(d) mâfÇ¡F« [Éil. (d) mâfÇ¡F«]
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82 RuhÉ‹ 11 M« tF¥ò áfu« bjhLnth« lh®bf£ ïa‰ãaš
12. <®¥ò Éir ã‹tUtdt‰¿š vj‰F njit¥gL»wJ?
(a) bt¥g¡fâ®årš (b) fl¤jš
(c) bt¥g¢ryd« (d) VJÄšiy
[Éil. (c) bt¥g¢ryd«]
13. òÉÆ‹ Mu« 6400km k‰W« br›thÆ‹ Mu« 3200km. òÉÆ‹ ÃiwahdJ br›thÆ‹ Ãiwia¥ nghš 10 kl§F. xU bghUË‹ vil 200N óÄÆ‹ gu¥ãš cŸsnghJ, br›thÆ‹ gu¥ã‹ ÛJ.
(a) 40 N (b) 2 N(c) 88 N (d) 80 N [Éil. (d) 80 N]
F¿¥ò : FF
MM
RR
M10M
m
e
m
e
e
m
m
m
=
=
= =
2
264003200
410
25
FF
MM
RR
M10M
m
e
m
e
e
m
m
m
=
=
= =
2
264003200
410
25
Fm =
FF
MM
RR
M10M
m
e
m
e
e
m
m
m
=
=
= =
2
264003200
410
25
; Fe =
FF
MM
RR
M10M
m
e
m
e
e
m
m
m
=
=
= =
2
264003200
410
25 × 200 = 80 N.
14. xU Vîfiz ÉLgLntf¤ij Él Fiwthd âir ntf¤Jl‹ Vt¥gL»wJ. mj‹ Ãiy M‰wš, ïa¡f M‰wÈ‹ T£L¤ bjhif.
(a) x‹W (b) v⮡F¿
(c) RÊ (d) ne®¡F¿
[Éil. (b) v⮡F¿]
nj®î¡fhd K¡»a Édh¡fŸ
1. x¤j Ãiw 'm' bfh©l ïU JfŸfŸ R Mu« bfh©l xU t£l¥ghijÆš gÇkh‰W òÉ<®¥ò braÈdhš R‰W»wJ. x›bthU JfË‹ ntf«
(a) 1
21
212
4R Gm
GmR
GmR
GmR
(b) 1
21
212
4R Gm
GmR
GmR
GmR
(c) 1
21
212
4R Gm
GmR
GmR
GmR
(d)
12
12
12
4R Gm
GmR
GmR
GmR
[Éil. (c) 1
21
212
4R Gm
GmR
GmR
GmR
]
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84 RuhÉ‹ 11 M« tF¥ò áfu« bjhLnth« lh®bf£ ïa‰ãaš
áªjid Édh¡fŸ
1. Ñœ¡f©l msitfËš vit kh¿È?
(a) nfhË‹ne®nfh£Lcªj«
(b) nfhË‹nfhzcªj«k‰W«nfhË‹bkh¤jÃiyM‰wš
(c) nfhË‹bkh¤jM‰wš
(d) nfhË‹ÃiyM‰wš [Éil. (b) nfhË‹ nfhz cªj« k‰W« nfhË‹
bkh¤j Ãiy M‰wš]
2. Xuh©L fhy¤âš òÉÆ‹ ÛJ NÇa‹ brŒj ntiyÆ‹ msî
(a) RÊ
(b) RÊ mšy
(c) ne®F¿kâ¥òcilaJ
(d) vâ®F¿kâ¥òcilaJ [Éil. (a) RÊ]3. F¿¥ã£l fhy msÉš NÇa‹ òÉ ÛJ brŒj ntiyÆ‹
msî v›thW ïU¡F«?
(a) ne®F¿ahf, vâÇF¿ahf mšyJ RÊahf
(b) v¥nghJ« ne®F¿
(c) v¥nghJ« vâ®F¿
(d) v¥bghGJ« RÊ [Éil. (d) v¥bghGJ« RÊ]4. xU uh¡bf£ óÄÆÈUªJ Vt¥gL«nghJ mj‹ Ú£á ÃiyÆš
óÄ¡F«, rªâuD¡F« ïilnaahd mj‹ bjhiyî r1 òÉÆ‹ Ãiw 8 kl§F rªâuÅ‹ ÃiwiaíilaJ. uh¡bf£ Ûjhd <®¥ò Éir RÊ vÅš rªâuÅÈUªJ
(a) r r r r5 10 15 20
(b) r r r r5 10 15 20
(c) r r r r5 10 15 20
(d) r r r r5 10 15 20
[Éil. (a) r r r r5 10 15 20
]
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[86]
7. gU¥bghUË‹ g©òfŸ
kâ¥ÕL
1. x k‰W« y v‹w ïU f«ãfis¡ fUJf. x f«ãÆ‹ MukhdJ y f«ãÆ‹ Mu¤ij¥ nghy 3 kl§F cŸsJ. mit rkkhd gSthš Ú£l¥g£lhš y ï‹ Ûjhd jifî
(a) x-ï‹jifî¡Frk«
(b) x-ï‹jifit¥nghš3kl§F
(c) x-ï‹jifit¥nghš9kl§F
(d) x-ï‹jifÉšghâ
[Éil. (c) x-ï‹ jifit¥nghš 9 kl§F]
2. xU f«ãahdJ mj‹ bjhl¡f Ús¤ij¥ nghy ïU kl§F Ú£l¥g£lhš f«ãÆš V‰g£l âÇò
(a) 1 (b) 2 (c) 3 (d) 4 [Éil. (a) 1]3. xnu bghUshš Md _‹W f«ãfË‹ gS Ú£o tiugl«
gl¤âš fh£l¥g£LŸsJ. Ñœ¡f©lt‰WŸ jokdhd f«ã vJ?
O
1
2
3
(a) f«ã1
(b) f«ã2
(c) f«ã3
(d) mid¤J«xnujok‹bfh©lit
[Éil. (a) f«ã 1]
4. bfhL¡f¥g£l xU bghUS¡F Éiw¥ò¡ FzfkhdJ a§
Fzf¤âš 13
g§F cŸsJ. mj‹ ghŒbrhŒ É»j«.
(a) 0 (b) 0.25
(c) 0.3 (d) 0.5 [Éil. (d) 0.5]
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RuhÉ‹ ïa‰ãaš 11 M« tF¥ò - bjhFâ - II 1 kâ¥bg© 89
14. xU gu¥ig xU âut¤jhš <ukh¡F« msî Kj‹ikahf rh®ªJŸsJ
(a) ghFÃiy (b) gu¥òïGÉir
(c) ml®¤â
(d) gu¥ò¡F«âut¤â‰F«ïilnacŸsnr®nfhz« [Éil. (d) gu¥ò¡F« âut¤â‰F« ïilna
cŸs nr®nfhz«]
15. khWg£l FW¡F bt£L¥ gu¥ò bfh©l xU »ilk£l¡
FHhÆš, ÚuhdJ 20 cm FHhÆ‹ É£lKŸs xU òŸËÆš
1 ms-1 âirntf¤âš brš»wJ. 1.5 ms-1 âirntf¤âš
bršY« òŸËÆš FHhÆ‹ É£lkhdJ.
(a) 8 (b) 16 (c) 24 (d) 32
[Éil. (b) 16]
ghl¥ gFâ cŸ Édh¡fŸ
1. xU v~F gªJ v©bzÆš ÉG«nghJ
(a) á¿J neu¤â‰F ãwF Ãiyahd âirntf¤ij
milí«.
(b) gªJ rhí«
(c) gªâ‹ntf«mâfǤJÉLgL«
(d) VJÄšiy
[Éil. (a) á¿J neu¤â‰F ãwF Ãiyahd
âirntf¤ij milí«.]
2. Ékhd« nkny cau¤ ö¡» gw¥gJ ïªÃfœÉid És¡f¡ fhuzkhd bfhŸif
(a) M®¡»Äo°bfhŸif
(b) bg®bdsÈ bfhŸif
(c) Äj¥ò
(d) gh°fšÉâ [Éil. (b) bg®bdsÈ bfhŸif]
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RuhÉ‹ ïa‰ãaš 11 M« tF¥ò - bjhFâ - II 1 kâ¥bg© 91
9. th©l®thš° ``mG¤j¡ FiwghL''¡fhd rk‹gh£oid jUÉ¡F«nghJ fh£á¥gL¤j¥g£l mG¤j« P, gUk‹ V, thí mG¤j thí gUkÅš
(a) P + av (b) P + a
v2
(c) P + (a × v) (d) P + (a × v2) [Éil. (b) P + a
v2 ]
10. xU ghŒk« ïa¡f¤âš cŸsnghJ mj‹ ghFÃiy 1 ghŒ° (poise) mJ XŒî ÃiyÆš cŸsnghJ mj‹ ghFÃiy (ghŒ°) š F¿¥ãL.
(a) 0 (b) 0.5 (c) 1 (d) 2 [Éil. (c) 1]11. xU ghŒk« ïa¡f¤âš cŸsnghJ mj‹ mL¤jL¤j
mL¡FfS¡»ilnaahd rh®ò ïa¡f« ghFÉir.
(a) v⮡F« (b) ghâ¡fhJ
(c) K‹ndh¡»ef®¤J«
(d) áyÃiyfËšghâ¡F« [Éil. (a) v⮡F«]
12. fÂrkhf bghUŸfŸ Ú£áailí«nghJ cilatj‰F K‹ Û£áa‰w FW¡f¤ij miltJ
(a) cilí«bghUŸfŸ (b) Û£áíŸsbghUŸfŸ
(c) cil¡f¡ToabghUŸfŸ
(d) ÚS« j‹ikíila bghU£fŸ
[Éil. (d) ÚS« j‹ikíila bghU£fŸ]
nj®î¡fhd K¡»a Édh¡fŸ
1. xU E©òiH FHhŒ tÊna xU cau¤â‰F ÚuhdJ
ca®»wJ. mjhtJ gu¥ò ïGÉirahš âut¥
òa¤â‹ vilÆ‹ fhuzkhf nkšneh¡F Éir
62.84 × 10-5N Éirahš rk‹ brŒa¥gL»wJ. ÚÇ‹ gu¥ò
ïGÉir 70 × 10-3Nm vÅš E©òiH¡ FHhÆ‹ Mu«.
(a) 1.43 ×10-3m (b) 2.835 ×10-3m(c) 1.43 ×10-2m (d) 2.83 ×10-3m
[Éil. (a) 1.43 ×10-3m]
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[95]
8. bt¥gK« bt¥g ïa¡fÉaY«
kâ¥ÕL
1. bt¥gkhd nfhilfhy¤âš rhjhuz ÚÇš Fˤj ã‹d® ekJ clÈ‹
(a) mf M‰wš Fiwí«(b) mfM‰wšmâfÇ¡F«(c) bt¥g« Fiwí«
(d) mfM‰wšk‰W«bt¥g¤âškh‰w«ÃfHhJ
[Éil. (b) mf M‰wš mâfÇ¡F«]
2. rh®y° ÉâÆ‹go gUk‹ k‰W« bt¥g Ãiy¡Fkhd tiugl«
(a) xU ÚŸt£l« (b) xU t£l«
(c) xUne®¡nfhL (d) xUgutisa«
[Éil. (c) xU ne®¡nfhL]3. ir¡»š la® âObu‹W bto¤J mâš cŸs fh‰W
ÉÇtil»wJ. ïj‰F .............. Ãfœî v‹W bga®.
(a) bt¥gÃiykhwh (b) bt¥g¥gÇkh‰wÄšyh
(c) mG¤j«khwh (d) gUk‹ khwh
[Éil. (b) bt¥g¥gÇkh‰wÄšyh]4. xU ešÈašò thí x‹W (P1, V1, T1, N) v‹w rkÃiy
ÃiyÆÈUªJ (2P1, 3V1, T2, N) v‹w k‰bwhU rkÃiy Ãiy¡F¢ br‹whš
(a) T1 = T2 (b) T1 = T2
6(c) T1 = 6T2 (d) T1 = 3T2
[Éil. (b) T1 = T2
6]
5. Óuhd ml®¤â cŸs j©L x‹¿id bt¥g¥gL¤J« nghJ m¤j©o‹ ã‹tU« v¥g©ò mâfÇ¡F«
(a) Ãiw (b) vil
(c) Ãiw ika« (d) Ãiyk¤âU¥ò¤âw‹
[Éil. (d) Ãiyk¤âU¥ò¤âw‹]
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100 RuhÉ‹ 11 M« tF¥ò áfu« bjhLnth« lh®bf£ ïa‰ãaš
13. fh®dh£ R‰¿š ã‹tU« v«KiwÆš bt¥g¤jŸsš eilbgW»wJ.
(a) bt¥g khwh ÉÇî
(b) bt¥g¥ gÇkh‰wÄšyh ÉÇî
(c) bt¥gkhwhFW¡f«
(d) bt¥g¥gÇkh‰wÄšyhFW¡f«
[Éil. (c) bt¥g khwh FW¡f«]
nj®î¡fhd K¡»a Édh¡fŸ
1. thí kh¿È R v‹gJ _____ ï‹ ïU j‹ bt¥g§fË‹
(a) É»j« (b) TLjš
(c) bgU¡f« (d) ntWghL
[Éil. (d) ntWghL]2. jÅRÊ bt¥gÃiy
(a) 273 K (b) – 273 K(c) – 273ºC (d) 273ºC [Éil. (c) – 273ºC]
3. ÚÇ‹ j‹bt¥g V‰ò¤âw‹
(a) 1.817 (b) 2512(c) 4.187 (d) VJÄšiy
[Éil. (c) 4.187]4. bghJ thí kh¿È
(a) Cp / Cv (b) Cp – Cv(c) Cp + Cv (d) Cv / Cp [Éil. (b) Cp – Cv]
5. xU nkhš thí g = 75
MdJ 1 nkhš thí g =53
cl‹
fy¡f¥gL«nghJ, »il¡F« fyitÆ‹ g kâ¥ò.
(a) 75
(b) 25
(c) 32
(d) 127
[Éil. (c) 32
]6. xU thí¡fyit 16g ëÈa« k‰W« 16g M¡á#idí«
bfh©LŸsJ. fyitÆ‹ ïU j‹ bt¥g¤â‰Fkhd É»j«.
(a) 1.4 (b) 1.54 (c) 1.59 (d) 1.62 [Éil. (d) 1.62]
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RuhÉ‹ ïa‰ãaš 11 M« tF¥ò - bjhFâ - II 1 kâ¥bg© 101
áªjid Édh¡fŸ
1. X® mQ thíÉš Ãiyahd gUkÅš j‹bt¥g¤â‰fhd tiugl«.
(a) CV
T
(b) CV 3R
T
(c) 3R/2CV
T
(d) CV
T [Éil. (c) 3R/2
CV
T
]
2. ïU bghUŸ, _‹whtJ bghUSl‹ bt¥g¢ rkÃiyÆš cŸsnghJ, mit x‹Wl‹ x‹W bt¥g¢rkÃiyÆš ïU¡F« ïJ.
(a) bfšÉ‹ãsh§¡Éâ
(b) bt¥gïa¡fÉaÈ‹KjšÉâ
(c) bt¥gïa¡fÉaÈ‹RÊÉâ
(d) bt¥gïa¡fÉaÈ‹ïu©lh«Éâ
[Éil. (c) bt¥g ïa¡fÉaÈ‹ RÊ Éâ]3. brašgL« bghUË‹ bt¥gÃiy khwhJ ïU¥gJ ã‹tU«
vªj KiwÆ‹ mj‹ ÉÇî Ãfœî mšyJ FW¡f ÃfœÉyh.
(a) bt¥g khwh
(b) bt¥g gÇkh‰wÄšyh
(c) mG¤jkhwh
(d) gUk‹ khwh [Éil. (a) bt¥g khwh]
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9. thí¡fË‹ ïa¡fÉa‰ bfhŸif
kâ¥ÕL
1. m Ãiwbfh©l gªJ x‹W u ntf¤Jl‹ x m¢ir¥bghU¤J 60° nfhz¤âš br‹W Rtbuh‹¿‹ ÛJ Û£á nkhjiy V‰gL¤J»wJ x k‰W« y âirÆš m¥gªâ‹ cªjkhWghL v‹d?
(a) ∆px = – mu, ∆py = 0
(b) ∆px = –2 mu, ∆py = 0(c) ∆px = 0, ∆py = mu
(d) ∆px = mu, ∆py = 0 [Éil. (a) ∆px = – mu, ∆py = 0]
2. ešÈašò thí x‹W rkÃiyÆš cŸsnghJ ã‹tU« msîfËš vj‹ kâ¥ò RÊahF«?
(a) rms ntf« (b) ruhrÇntf«
(c) ruhrÇâirntf« (d) Äfî«rh¤âakhdntf«
[Éil. (c) ruhrÇ âirntf«]
3. khwh mG¤j¤âYŸs ešÈašò thí x‹¿‹ bt¥gÃiyia 100 K ÈUªJ 1000 K ¡F ca®¤J«nghJ, mj‹ ruhrÇ
ïUko_y ntf« vrms v›thW khWgL«?
(a) 5kl§FmâfÇ¡F«
(b) 10kl§FmâfÇ¡F«
(c) khwhJ
(d) 7kl§FmâfÇ¡F«
[Éil. (b) 10 kl§F mâfÇ¡F«]4. xU âwªj fjÉ‹ _y« ïiz¡f¥g£l, KGtJ« x¤j
msîŸs A k‰W« B v‹w ïu©L miwfŸ cŸsd. FË® rhjd trâíŸs A°C miwÆ‹ bt¥gÃiy B miwiaÉl 4 Fiwthf cŸsJ. vªj miwÆYŸs fh‰¿‹ msî mâfkhf ïU¡F«?
(a) miw A (b) miw B(c) ïu©LmiwfËY«xnumsîŸsfh‰WïU¡F«.
(d) f©l¿aïayhJ [Éil. (a) miw A]
[102]
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108 RuhÉ‹ 11 M« tF¥ò áfu« bjhLnth« lh®bf£ ïa‰ãaš
áªjid Édh¡fŸ
6. bt¥g kh‰Öl‰w ÃfœÉ‹nghJ thíÉ‹ mG¤j« mj‹ jÅ bt¥gÃiyÆ‹ K«ko _y¤â‰F É»j« Mdhš thíÉ‹CCp
v
(a) 43
(b) 2 (c) 53
(d) 32
[Éil. (d) 32
]
7. thíÉ‹ ruhrÇ ntf« SO2 I¥ nghš eh‹F kl§F vÅš (_y¡TW Ãiw 64)
(a) He (_y¡TWÃiw64)
(b) O2 (_y¡TWÃiw4)
(c) M2 (_y¡TWÃiw32)
(d) CH4 (_y¡TWÃiw16)
[Éil. (a) He (_y¡TW Ãiw 64)]
8. ïU thí¡fË‹ MÉ ml®¤âfË‹ É»j« gn 9 : 8 mt‰¿‹ _y¡TWfË‹ rms âirntf§fË‹ É»j«
(a) 3 : 2 2 (b) 2 2 : 3
(c) 9 : 8 (d) 8 : 9 [Éil. (b) 2 2 : 3]
9. xU bt¥g kh‰Öl‰w kh‰w¤âš XuQ _y¡TW thíÉ‹ mG¤j« k‰W« bt¥gÃiy P × TC, C v‹gJ
(a) 25
(b) 52
(c) 35
(d) 53 [Éil.(b)
52
]
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[109]
10. ïaš cyf¤â‹ j‹ikí«
mså£oaY«
kâ¥ÕL
1. jÅÓÇif ïa¡f¤âš xU KG miyɉfhd ïl¥bga®¢á¡F vâuhd KL¡fkhdJ V‰gL¤JtJ (model NSEP 2000-01)(a) ÚŸt£l« (b) t£l«
(c) gutisa« (d) ne®¡nfhL
[Éil. (d) ne®¡nfhL]
2. ÓÇir ïa¡f¤ij nk‰bfhŸS« JfŸ, A k‰W« B v‹w òŸËfis xnu âirntf¤Jl‹ fl¡»wJ. A ÆÈUªJ B¡F bršy vL¤J¡ bfhŸS« neu« 3s k‰W« BÆÈUªJ A¡F bršy Û©L« 3s vL¤J¡ bfhŸ»wJ vÅš mj‹ miyî neu«.
(a) 15s (b) 6s (c) 12s (d) 9s [Éil. (c) 12s]
3. òÉÆ‹ nk‰gu¥ãš cŸs Édho CrÈ‹ Ús« 0.9m. òÉia¥ nghy n kl§F KL¡f¤ij¥ bg‰WŸs x v‹w nfhË‹ nk‰gu¥ãš cŸsnghJ mnj CrÈ‹ Ús«
(a) 0.9nm (b) 0 9 0 9 1 12 2 2
2 22 2
. .n n g a
g ag a
+
++
m
(c) 0.9n2m (d) 0 9 0 9 1 1
2 2 2
2 22 2
. .n n g a
g ag a
+
++
m [Éil. (a) 0.9nm]
4. a KL¡f¤Jl‹, »il¤js¤âš ïa§»¡ bfh©oU¡F« gŸË thfd¤â‹ nk‰TiuÆš f£o bjh§fÉl¥g£l jÅ Crš x‹¿‹ miyî neu«.
(a) T ∝ 0 9 0 9 1 1
2 2 2
2 22 2
. .n n g a
g ag a
+
++ (b) T ∝
0 9 0 9 1 12 2 2
2 22 2
. .n n g a
g ag a
+
++
(c) T ∝ 0 9 0 9 1 1
2 2 2
2 22 2
. .n n g a
g ag a
+
++
(d) T ∝(g2 + a2) [Éil. (b) T∝
0 9 0 9 1 12 2 2
2 22 2
. .n n g a
g ag a
+
++]
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116 RuhÉ‹ 11 M« tF¥ò áfu« bjhLnth« lh®bf£ ïa‰ãaš
áªjid Édh¡fŸ
1. xU JfŸ jÅ ÓÇir ïa¡f¤ij nk‰bfhŸStj‰fhd
x – t tiugl« bfhL¡f¥g£LŸsJ. m¤JfË‹ KL¡f« t =43
(a) 332
2pcm s/ πcm/s2 (b) −π2
2
32cm s/ cm/s2
(c) p22
32cm s/cm/s2 (d) − 3
322 2π cm s/ π2cm/s2
[Éil. (d) − 332
2 2π cm s/ π2cm/s2]
2. Ãiw 'm' xU jÅÓÇir ïa¡f¤âš miyîW»wJ. mj‹ å¢R A, å¢á‹ òŸË Pš
0
–1
1
x 4 8 t(s)12
(a) kk1
2
A (b) k1
k2A
(c) k1 + k2
k1A (d)
kk k
2
1 2
A+
[Éil. (a) kk1
2
A]
3. ïU jÅ CršfË‹ fhy msîfŸ 2.0s k‰W« 2.1s x¤jthW mâ®tila¢ brŒa¥gL»‹wd. KjÈš xnu f£l¤âš cŸsd. xnu f£l¤âš v¤jid mâ®îfŸ ïU¡F«?
(a) 21 (b) 25 (c) 30 (d) 35
[Éil. (c) 21]
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[117]
11. ïaš cyf¤â‹ j‹ikí«
mså£oaY«
kâ¥ÕL
1. khzt® xUt® jdJ »£lhiu, 120 Hz ïir¡fitahš Û£o mnjneu¤âš 4 tJ f«ãiaí« Û£L»wh‹. T®ªJ ftÅ¡F«nghJ, T£L xÈÆ‹ å¢R Édho¡F 3 Kiw miyîW»wJ. 4 tJ f«ãÆ‹ mâ®bt© Ñœ¡f©lt‰WŸ vJ?
(a) 130 (b) 117(c) 110 (d) 120 [Éil. (b) 117]
2. FW¡fiy x‹W A Clf¤âÈUªJ B Clf¤â‰F brš»wJ. A Clf¤âš FW¡fiyÆ‹ âirntf« 500 ms–1 miyÚs« 5m. B Clf¤âš âirntf« 600 ms–1
,
vÅš B š mâ®bt©, miyÚs« Kiwna
(a) 120 Hz k‰W« 5 m (b) 100 Hz k‰W« 5 m(c) 120 Hz k‰W« 6 m (d) 100 Hz k‰W« 6 m
[Éil. (d) 100 Hz k‰W« 6 m]
3. xU F¿¥ã£l FHhŒ¡F 1000 Hz Él Fiwthd 4 ÓÇir mâ®bt©fŸ ÑnH bfhL¡f¥g£LŸsd. mit: 300 Hz, 600 Hz, 750 Hz k‰W« 900 Hz ïªj bjhlÇš ÉLg£l ïU mâ®bt©fŸ ahit?
(a) 100 Hz, 150 Hz (b) 150 Hz, 450 Hz(c) 450 Hz, 700 Hz (d) 700 Hz, 800 Hz
[Éil. (b) 150 Hz, 450 Hz]
4. Ñœ¡f©lt‰WŸ vJ rÇ?
A B(1)ju« (A) br¿î
(2) RUâ (B) miy tot«
(3)cu¥ò (C) mâ®bt©
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122 RuhÉ‹ 11 M« tF¥ò áfu« bjhLnth« lh®bf£ ïa‰ãaš
9. xU jÅ ÓÇir miyÆ‹ rk‹ghL y = 5 sin π2 (100t –x) x,
y- Û£lÇY«, neu« - brf©LfËY« cŸsJ. miyÆ‹ fhy msî brf©LfŸ
(a) 0.04 (b) 0.01(c) 1 (d) 5 [Éil. (a) 0.04]
10. xU xÈia¥ bgWgtuhš 20dB msɉF xÈ k£L¥gL¤j¥gL»wJ vÅš br¿Éš V‰gL« jhœÉ‹ fhuÂ
(a) 100 (b) 1000(c) 10000 (d) 10 [Éil. (a) 100]
11. xU miyÆ‹ ïl¥bga®¢á y‹ x m¢áš flªJ brštj‰fhd
rk‹ghL y = 10–4 sin(600t – 2x + pp3
) x Û£lÇY«
t brf©LfËY« F¿¡f¥gL»wJ. miyÆa¡f¤â‹ ntf«
(a) 300ms–1 (b) 600 ms–1
(c) 1200 ms–1 (d) 200 ms–1
[Éil. (a) 300ms–1]
nj®î¡fhd K¡»a Édh¡fŸ
1. fh‰¿š xÈmiyÆ‹ ntf«
(a) bt¥gÃiybghU¤jjšy
(b) mG¤jJl‹mâfÇ¡F«
(c) ca®<u¥gj¤Jl‹mâfÇ¡F«
(d) ca®<u¥gj¤Jl‹Fiwí«
[Éil. (c) ca® <u¥gj¤Jl‹ mâfÇ¡F«]2. Clf¤â‹ bt¥gÃiy khW«nghJ khWtJ
(a) xÈmiyfË‹mâ®bt©
(b) xÈmiyfË‹å¢R
(c) xÈmiyfË‹miyÚs«
(d) xÈmiyÆ‹cu¥ò
[Éil. (c) xÈ miyfË‹ miyÚs«]
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RuhÉ‹ ïa‰ãaš 11 M« tF¥ò - bjhFâ - II 1 kâ¥bg© 123
3. be£liyfŸ Clf¤â‹ tÊna K‹nd¿¢ bršY«nghJ fl¤j¥gLtJ
(a) bghUŸ
(b) M‰wš
(c) bghUŸ k‰W« M‰wš
(d) cªj«,M‰wš,bghUŸ [Éil. (b) M‰wš]4. miy Ús« λ bfh©l xÈ miyfŸ xU Clf¤â‹
tÊna v m/s ntf¤Jl‹ EiHí« nghJ ntf« 2 v m/s M»wJ. ïu©lh« Clf¤âš xÈ miyfË‹ miy Ús«
(a) λ (b) λ2
(c) 2λ (d) 4λ [Éil. (c) 2λ]
5. vªâu glF ÚÇš c©lh¡F« miyfŸ
(a) FW¡fiy
(b) be£liy
(c) Ãiyahd miyfŸ
(d) be£liy k‰W«FW¡fiy [Éil. (d) be£liy k‰W« FW¡fiy]
6. xU rkjs K‹ndW miyfŸ K‹nd¿¢ bršY« nghJ
(a) všyhJfŸfË‹å¢R«rk«
(b) Clf¤â‹ JfŸfŸ jÅÓÇir ïa¡f¤ijnk‰bfhŸS«
(c) miyÆ‹ âirntf« Clf¤â‹ j‹ikia¥bghU¤jJ.
(d) nk‰f©lmid¤J«
[Éil. (d) nk‰f©l mid¤J«]
áªjid Édh¡fŸ
1. miy y = Acos (wt + kx) x m¢áš ïa§Fkhdhš
miy¡nfhLfË‹ tot« t = 0 k‰W« t = 2sš
(a) bt›ntwhfïU¡F«
(b) rkkhfïU¡F«
(c) rkkhfïšyhkY«ïU¡fyh«
(d) VJÄšiy [Éil. (b) rkkhf ïU¡F«]
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124 RuhÉ‹ 11 M« tF¥ò áfu« bjhLnth« lh®bf£ ïa‰ãaš
2. É©ÛÅÈUªJ tU« xËÆ‹ miy Ús¤âš c©lhF« ã‹dkh‰w« 0.014% mj‹ âirntf«
(a) 4.2 × 103 m/s (b) 3.8 × 103 m/s(c) 3.5 × 103 m/s (d) 4.2 × 104 m/s
[Éil. (d) 4.2 × 104 m/s]
3. x m¢á‹ tÊna bršY« xU miy¡fhd rk‹ghL
y(x, t) = 0.005 cos (αx–βt). λ= 0.008 k‰W« t = 2.03 vÅš
(a) α = 12.50π β = π
2 0.(b) α = 25.00π β = π
(c) α = 0 08.π
β = 2 0.π
(d) α = 0 04.π
β = 4 0.π
[Éil. (b) α = 25.00 π β = π]
4. xU M®f‹ FHhÆ‹ âwªjKid Kjš nk‰Ru¤âš mâ®til»wJ. ïJ ïU Kidí« âwªj k‰bwhU FHhíl‹ x¤jâ®Éš cŸsJ. _‹wh« ÓÇirÆš mâ®îW»wJ ïU FHhŒfË‹ Ús¤â‹ É»j«
(a) 1 : 2 (b) 4 : 1(c) 8 : 3 (d) 3 : 8 [Éil. (a) 1 : 2]
5. xU iruÅ‹ t£oš 60 JisfŸ bfh©L xU Ãiyahd ntf¤âš 360 rpm RHš»‹wJ. cÄH¥g£l xÈahdJ ïir¡fitíl‹ vªj mâ®bt©Âš x¤jjhf ïU¡F«
(a) 10Hz (b) 360Hz(c) 216Hz (d) 60Mz [Éil. (b) 360Hz]
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