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Title: jee mains paper
Description: Jee mains paper 2015 (set-B)

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This booklet contains 40 printed pages
...


§â ÂÚèÿææ ÂéçSÌ·¤æ ·¤æð ÌÕ Ì·¤ Ù ¹æðÜð´ ÁÕ Ì·¤ ·¤ãæ Ù Áæ°Ð

Read carefully the Instructions on the Back Cover of this Test Booklet
...
Immediately fill in the particulars on this page of the Test
Booklet with Blue/Black Ball Point Pen
...

2
...
When you
are directed to open the Test Booklet, take out the Answer
Sheet and fill in the particulars carefully
...
The test is of 3 hours duration
...
The Test Booklet consists of 90 questions
...

5
...
Each question
is allotted 4 (four) marks for correct response
...
Candidates will be awarded marks as stated above in instruction
No
...
¼ (one fourth) marks
will be deducted for indicating incorrect response of each question
...

7
...
Filling
up more than one response in any question will be treated as
wrong response and marks for wrong response will be
deducted accordingly as per instruction 6 above
...
Use Blue/Black Ball Point Pen only for writing particulars/
marking responses on Side-1 and Side–2 of the Answer Sheet
...

9
...
except the Admit Card inside the examination
room/hall
...
Rough work is to be done on the space provided for this
purpose in the Test Booklet only
...
e
...

11
...

However, the candidates are allowed to take away this Test
Booklet with them
...
The CODE for this Booklet is B
...
In case of discrepancy, the
candidate should immediately report the matter to the
Invigilator for replacement of both the Test Booklet and the
Answer Sheet
...
Do not fold or make any stray mark on the Answer Sheet
...
ÂÚUèÿææ ÂéçSÌ·¤æ ·ð¤ §â ÂëcÆU ÂÚU ¥æßàØ·¤ çßßÚU‡æ ÙèÜð / ·¤æÜð ÕæòÜ
Œßæ§´ÅU ÂðÙ âð ̈·¤æÜ ÖÚð´Ð Âðç‹âÜ ·¤æ ÂýØæð» çÕË·é¤Ü ßçÁüÌ ãñÐ
2
...
ÂÚUèÿææ ·¤è ¥ßçÏ 3 ƒæ´ÅðU ãñÐ
4
...
§â ÂÚUèÿææ ÂéçSÌ·¤æ ×ð´ ÌèÙ Öæ» A, B, C ãñ´, çÁâ·ð¤ ÂýˆØð·¤ Öæ» ×ð´
ÚUâæØÙ çߙææÙ, »ç‡æÌ °ß´ ÖæñçÌ·¤ çߙææÙ ·ð¤ 30 ÂýàÙ ãñ´ ¥æñÚU âÖè
ÂýàÙæð´ ·ð¤ ¥´·¤ â×æÙ ãñ´Ð ÂýˆØð·¤ ÂýàÙ ·ð¤ âãè ©žæÚU ·ð¤ çܰ 4 (¿æÚU)
¥´·¤ çÙÏæüçÚUÌ ç·¤Øð »Øð ãñ´Ð
6
...
ÂýˆØð·¤ ÂýàÙ ·¤æ ·ð¤ßÜ °·¤ ãè âãè ©žæÚU ãñÐ °·¤ âð ¥çÏ·¤ ©žæÚU ÎðÙð ÂÚU
©âð »ÜÌ ©žæÚU ×æÙæ ÁæØð»æ ¥æñÚU ©ÂÚUæð€Ì çÙÎðüàæ 6 ·ð¤ ¥ÙéâæÚU ¥´·¤ ·¤æÅU
çÜØð ÁæØð´»ðÐ
8
...
ÂÚUèÿææÍèü mæÚUæ ÂÚUèÿææ ·¤ÿæ/ãæòÜ ×ð´ Âýßðàæ ·¤æÇüU ·ð¤ ¥Üæßæ ç·¤âè Öè Âý·¤æÚU
·¤è ÂæÆ÷UØ âæ×»ýè, ×éçÎýÌ Øæ ãSÌçÜç¹Ì, ·¤æ»Á ·¤è Âç¿üØæ¡, ÂðÁÚU, ׿ðÕæ§Ü
ȤæðÙ Øæ ç·¤âè Öè Âý·¤æÚU ·ð¤ §Üð€ÅþUæòçÙ·¤ ©Â·¤ÚU‡ææð´ Øæ ç·¤âè ¥‹Ø Âý·¤æÚU ·¤è
âæ×»ýè ·¤æð Üð ÁæÙð Øæ ©ÂØæð» ·¤ÚUÙð ·¤è ¥Ùé×çÌ Ùãè´ ãñÐ
10
...
ÂÚUèÿææ â׿ŒÌ ãæðÙð ÂÚU, ÂÚUèÿææÍèü ·¤ÿæ/ãæòÜ ÀUæðǸÙð âð Âêßü ©žæÚU Â˜æ ·¤ÿæ
çÙÚUèÿæ·¤ ·¤æð ¥ßàØ âæñ´Â Îð´Ð ÂÚUèÿææÍèü ¥ÂÙð âæÍ §â ÂÚUèÿææ ÂéçSÌ·¤æ
·¤æð Üð Áæ â·¤Ìð ãñ´Ð
12
...
©žæÚU Â˜æ ·¤æð Ù ×æðǸ𴠰ߴ Ù ãè ©â ÂÚU ¥‹Ø çÙàææÙ Ü»æ°¡Ð

Name of the Candidate (in Capital letters ) :
Roll Number

No
...
Invigilator’s Signature :

çÙÚèÿæ·¤ ·ð¤ ãSÌæÿæÚ Ñ

2
...
8 eV

(1)

26
...
4 eV

(2)

23
...
8 eV

(3)

16
...


çِÙçÜç¹Ì ×ð´ âð ãæ§üÇþUæðÁÙ ·¤è â´Öß ©žæðçÁÌ ¥ßSÍæ
·¤è ª¤Áæü ·¤æñÙ âè ãñ?

(1)

1
...
6 eV

(4)

113
...


2
...


C6H5CH3

(1)

C6H5CHO

(3)

C6H5CH2OH

(2)

C6H5COOH

Which

compound

(4)
would

give

3
...


The ionic radii (in Å) of N32, O22 and F2

4
...
36, 1
...
40

(1)

1
...
71

ÌÍæ

1
...
71, 1
...
36

(2)

1
...
40

ÌÍæ

1
...
71, 1
...
40

(3)

1
...
36

ÌÍæ

1
...


·ý¤×àæÑ ãñ´ Ñ

1
...
40 and 1
...
36, 1
...
71

The color of KMnO4 is due to :

5
...


d 2 d transition

M ® L charge transfer transition

(4)

M ® L ¥æßðàæ

Assertion : Nitrogen and Oxygen are the

6
...

Reason :

The reaction between nitrogen

Ì·ü¤ Ñ

and oxygen requires high
temperature
...


Which of the following compounds is not

7
...


Cimetidine

Aluminium hydroxide

(4)

In the context of the Hall - Heroult process

8
...


Na3AlF6 serves as the electrolyte
CO and CO2 are produced in this
process

(4)

Match the catalysts to the correct

9
...


10
...


Bakelite

(4)

Õð·ð¤Üæ§ÅU

Which polymer is used in the manufacture

B/Page 5

11
...


ß»ü â×ÌÜèØ [Pt (Cl) (py) (NH3) (NH2OH)]1
(py 5 pyridine) ·ð¤ ’Øæç×ÌèØ â׿ߨçߨæð´ ·¤è
â´Øæ ãñ Ñ

(1)

12
...


13
...


Which among the following is the most

14
...


Two Faraday of electricity is passed

15
...
The mass of

copper deposited at the cathode is :

CuSO4 ·ð¤

°·¤ çßÜØÙ ×ð´, Îæð Èñ¤ÚUæÇðU çßléÌ ÂýßæçãÌ
·¤è »§üÐ ·ñ¤ÍæðÇU ÂÚU çÙÿæðçÂÌ Ìæ´Õð ·¤æ ÎýÃØ×æÙ ãñ :
(Cu ·¤æ ÂÚU׿ç‡ß·¤ ÎýÃØ×æÙ 563
...
mass of Cu563
...
5 g

(1)

63
...
06N °çâçÅU·¤ ¥Ü ·ð¤ 50 mL
çßÜØÙ ×ð´ 3 g âç·ý¤çØÌ÷ ·¤æcÆU ·¤æðØÜæ ç×ÜæØæ »ØæÐ
°·¤ ƒæ´ÅðU ·ð¤ Âà¿æÌ÷ ©âð ÀUæÙæ »Øæ ¥æñÚU çÙSØ´Î ·¤è
ÂýÕÜÌæ 0
...


18 mg

(4)

18 mg

3 g of activated charcoal was added to

16
...
06N) in a
flask
...
042 N
...


Free radical fluorination

(4)

×é€Ì ×êÜ·¤ ÜæðçÚUÙðàæÙ

The synthesis of alkyl fluorides is best

B/Page 7

17
...


The molecular formula of a commercial

18
...
wt
...

What would be the maximum uptake of
Ca21 ions by the resin when expressed in

°·¤ ßæç‡æ’Ø ÚðUç$ÁÙ ·¤æ ¥æç‡ß·¤ âê˜æ C8H7SO3Na
ãñ (¥æç‡ß·¤ ÖæÚU = 206) §â ÚðUç$ÁÙ ·¤è Ca21
¥æØÙ ·¤è ¥çÏ·¤Ì× ¥´Ì»ýüã‡æ ÿæ×Ìæ (׿ðÜ ÂýçÌ
»ýæ× ÚðUç$ÁÙ) €Øæ ãñ?

mole per gram resin ?
(1)

1
206

(1)

1
206

(2)

2
309

(2)

2
309

(3)

1
412

(3)

1
412

(4)

1
103

(4)

1
103

soluble ?
Vitamin D

(1)

çßÅUæç×Ù D

(2)

Vitamin E

(2)

çßÅUæç×Ù E

(3)

Vitamin K

(3)

çßÅUæç×Ù K

(4)

20
...


Vitamin C

(4)

çßÅUæç×Ù C

Which of the vitamins given below is water

The intermolecular interaction that is

19
...


dependent on the inverse cube of distance

ßã ¥´ÌÚUæ-¥‡æé·¤ ¥‹Øæð‹Ø ç·ý¤Øæ Áæð ¥‡æé¥æð´ ·ð¤ Õè¿
·¤è ÎêÚUè ·ð¤ ÂýçÌÜæð× ƒæÙ ÂÚU çÙÖüÚU ãñ, ãñ Ñ

between the molecules is :
(1)

ion - dipole interaction

(1)

¥æØÙ - çmÏýéß ¥‹Øæð‹Ø

(2)

London force

(2)

Ü´ÇUÙ ÕÜ

(3)

hydrogen bond

(3)

ãæ§üÇþUæðÁÙ Õ´Ï·¤

(4)

ion - ion interaction

(4)

¥æØÙ - ¥æØÙ ¥‹Øæð‹Ø

B/Page 8

SPACE FOR ROUGH WORK /

ÚUȤ ·¤æØü ·ð¤ çܰ Á»ã

21
...


çِÙçÜç¹Ì ¥çÖç·ý¤Øæ ·¤æð 298 K ÂÚU ç·¤Øæ »ØæÐ

298 K
...
6 kJ/mol ãñÐ 298 K ÂÚU NO2(g) ·¤è ×æÙ·¤
×é€Ì ª¤Áæü €Øæ ãñ? (Kp51
...
6 kJ/mol at 298 K
...
631012)
(1)

866001R(298) ln(1
...
631012)

(2)

86600 2

(2)

86600 2

(3)

0
...
631012)]

(3)

0
...
631012)]

(4)

R(298) ln(1
...
631012)286600

ln (1
...
6 3 1012 )
R (298)

colored yellow ?
K3[Co(NO2)6]

(1)

K3[Co(NO2)6]

(2)

(NH4)3 [As (Mo3 O10)4]

(2)

(NH4)3 [As (Mo3 O10)4]

(3)

BaCrO 4

(3)

BaCrO 4

(4)

23
...


Zn2[Fe(CN)6]

(4)

Zn2[Fe(CN)6]

Which of the following compounds is not

In Carius method of estimation of

22
...


halogens, 250 mg of an organic compound
gave 141 mg of AgBr
...
mass Ag5108; Br580)
(1)

36

(1)

36

(2)

48

(2)

48

(3)

60

(3)

60

(4)

24

(4)

24

B/Page 9

SPACE FOR ROUGH WORK /

ÚUȤ ·¤æØü ·ð¤ çܰ Á»ã

24
...


cubic lattice with a unit cell edge of 4
...

The

radius

of

sodium

atom

is

âæðçÇUØ× ÏæÌé °·¤ ¥´ÌÑ·ð¤ç‹ÎýÌ ƒæÙèØ ÁæÜ·¤ ×ð´
ç·ý¤SÅUçÜÌ ãæðÌæ ãñ çÁâ·ð¤ ·¤æðÚU ·¤è Ü´Õæ§ü 4
...
22Å

(2)

5
...
72Å

(3)

0
...
93Å

(4)
25
...
22Å

1
...
86Å

Which of the following compounds will

25
...


208C ÂÚU

exhibit geometrical isomerism ?
(1)
(2)

2 - Phenyl - 1 - butene

(3)

1, 1 - Diphenyl - 1 - propane

(4)
26
...
When 1
...

The molar mass (g mol21) of the substance

°ðçâÅUæðÙ ·¤è ßæcÂ ÎæÕ 185 torr ãñÐ ÁÕ
208C ÂÚU, 1
...


64

32

(4)

32

From the following statements regarding

27
...


CaSO 4

(4)

CaSO 4

Which one of the following alkaline earth

28
...
2 J ãñ Ð çΰ »° âר ×ð ´

2494
...
At a given time, the composition

29
...


1
, [B]52
2

300 K

ç×Ÿæ‡æ ·¤æ â´ ƒ æÅUÙ

[B]52 ¥æñÚU [C] 5

1

...
314 J/K/mol, e52
...
314 J/K/mol, e52
...


1
,
2

forward direction because Q > Kc

(4)

¥»ý çÎàææ ×ð´ €Øæð´ç·¤ Q > Kc

Which one has the highest boiling point ?

30
...


The sum of coefficients of integral powers

31
...


x

·¤è Âê‡ææZ·¤èØ

1 50
3 11
2

( )

(1)

1 50
3
2

(2)

)

1 50
3 21
2

(

)

(

)

(3)

1 50
2 11
2

(

)

(4)

1 50
3 11
2

Let f (x) be a polynomial of degree four

32
...


×æÙæ
x51

f ( x )

If lim 1 1
 5 3 , then f (2) is equal
x →0 
x2 

(

)

(

)

f (x)

ÌÍæ

ƒææÌ

4

x52

·¤æ °·¤ Õãé  Πãñ çÁâ·ð ¤
ÂÚU ¿ÚU× ×æÙ ãñ´Ð ØçÎ

f ( x )

lim 1 1
53
x →0 
x2 

to :
(1)

24

(1)

0

(2)

0

(3)

4

(3)

4

(4)

28

(4)

ãñ, Ìæð f (2) ÕÚUæÕÚU ãñ Ñ

24

(2)

33
...


observations is 16
...
0

(1)

16
...
8

(2)

15
...
0

(3)

14
...
8

(4)

16
...


The sum of first 9 terms of the series

34
...
is :
1
113
11 31 5

Ÿæð‡æè
13 1 2 3
13 1 2 3 1 3 3
13
1
1
1
...


96

71

(4)

71

Let O be the vertex and Q be any point on

35
...
If the point P divides
the line segment OQ internally in the ratio
1 : 3, then the locus of P is :

×æÙæ ÂÚUßÜØ x258y ·¤æ àæèáü O ÌÍæ ©â ÂÚU ·¤æð§ü
çÕ´ Î é Q ãñ Ð ØçÎ çÕ´ Î é P, Úð U ¹ æ¹´ Ç U OQ ·¤æð
1 : 3 ·ð¤ ¥æ´ÌçÚU·¤ ¥ÙéÂæÌ ×ð´ Õæ¡ÅUÌæ ãñ, Ìæð P ·¤æ
çÕ´ÎéÂÍ ãñ Ñ

(1)

(1)

y 2 5x

(2)

y 2 52x

(2)

y 2 52x

(3)

x 2 52y

(3)

x 2 52y

(4)

36
...


x 2 26x2250
...


If 12 identical balls are to be placed in 3

37
...


2
55  
3

55  2 11
 
3 3

10

(1)

2
55  
3

(2)

1
220  
3

(3)

1
22  
3

(4)

55  2 11
 
3 3

12

11

A complex number z is said to be

38
...
Suppose z1 and z2
z1 2 2 z2
are complex numbers such that
2 2 z1 z2

12

11

°·¤ âç×Ÿæ â´Øæ z °·¤×æÂæ´·¤è ·¤ãÜæÌè ãñ ØçÎ
?z?51 ãñÐ ×æÙæ z1 ÌÍæ z2 °ðâè âç×Ÿæ â´Øæ°¡ ãñ´
ç·¤

z1 2 2 z2
2 2 z1 z2

°·¤×æÂæ´·¤è ãñ ÌÍæ

is unimodular and z2 is not unimodular
...


(1)

y-¥ÿæ

(2)

circle of radius 2
...


z2 °·¤×æÂæ´·¤è

B/Page 14

2
...


The integral

dx

∫ x 2 ( x 4 1 1)3 4

equals :

39
...


interior of the triangle with vertices (0, 0),
(0, 41) and (41, 0), is :

ç˜æÖéÁ, çÁâ·ð¤ àæèáü (0, 0), (0, 41) ÌÍæ (41, 0) ãñ´,
·ð¤ ¥æ´ÌçÚU·¤ Öæ» ×ð´ çSÍÌ ©Ù çÕ´Îé¥æð´ ·¤è â´Øæ
çÁÙ·ð¤ ÎæðÙæð´ çÙÎðüàææ´·¤ Âê‡ææZ·¤ ãñ´, ãñ Ñ

(1)

861

(1)

861

(2)

820

(2)

820

(3)

780

(3)

780

(4)

41
...


dx
2

901

(4)

901

The distance of the point (1, 0, 2) from the
point

of

intersection

of

the

41
...


2x16y112z513

(4)

2x16y112z513

The equation of the plane containing the

42
...


The area (in sq
...


{(x, y) : y2[ 2x ÌÍæ y / 4x 2 1} mæÚUæ

ÿæð˜æ ·¤æ ÿæð˜æÈ¤Ü (ß»ü §·¤æ§Øæð´) ×ð´ ãñ Ñ

ÂçÚUÖæçáÌ

{(x, y) : y2 [ 2x and y / 4x 2 1} is :
(1)

(1)

5
64

(2)

15
64

(2)

15
64

(3)

9
32

(3)

9
32

(4)

44
...
M
...


G3 are three geometric means between l
4
4
4
and n, then G1 1 2G2 1 G 3 equals
...
M
...
M
...


Locus of the image of the point (2, 3) in

45
...


2
...

straight line parallel to x-axis
...
units) of the quadrilateral

ÚðU¹æ

ÂýçÌçÕ´Õ ·¤æ çÕ´ÎéÂÍ °·¤ Ñ
(1) y-¥ÿæ ·ð¤ â׿´ÌÚU ÚðU¹æ ãñÐ
2 ç˜æ’Øæ ·¤æ ßëžæ ãñÐ
(2)
3 ç˜æ’Øæ ·¤æ ßëžæ ãñÐ
(3)
(4) x-¥ÿæ ·ð¤ â׿´ÌÚU ÚðU¹æ ãñÐ

straight line parallel to y-axis
...


Îèƒæüßëžæ

y2
x2
1
51
9
5

×ð ´

·ð¤ ÙæçÖÜÕæð´ ·ð¤ çâÚUæð´ ÂÚU

¹è´¿è »§ü SÂàæü ÚðU¹æ¥æð´ mæÚUæ çÙç×üÌ ¿ÌéÖéüÁ ·¤æ ÿæð˜æÈ¤Ü
(ß»ü §·¤æ§Øæð´ ×ð´) ãñ Ñ

formed by the tangents at the end points
of the latera recta to the ellipse

y2
x2
1
5 1 , is :
9
5
(1)
(2)
(3)
(4)
47
...


that can be formed, using the digits 3, 5, 6,

18
27
2
27
27
4

¥´·¤æð´ 3, 5, 6, 7 ÌÍæ 8 ·ð¤ ÂýØæð» âð, çÕÙæ ÎæðãÚUæØð,
ÕÙÙð ßæÜð 6,000 âð ÕǸð Âê‡ææZ·¤æð´ ·¤è â´Øæ ãñ Ñ

7 and 8, without repetition, is :
(1)

192

(1)

192

(2)

120

(2)

120

(3)

72

(3)

72

(4)

216

(4)

216

having at least three elements is :

×æÙæ A ÌÍæ B Îæð â×é‘¿Ø ãñ´ çÁÙ×ð´ ·ý¤×àæÑ ¿æÚU ÌÍæ
Îæð ¥ßØß ãñ´, Ìæð â×é‘¿Ø A3B ·ð¤ ©Ù ©Ââ×é‘¿Øæð´
·¤è â´Øæ, çÁÙ×ð´ ÂýˆØð·¤ ×ð´ ·¤× âð ·¤× ÌèÙ ¥ßØß
ãñ´, ãñ Ñ

(1)

256

(1)

256

(2)

275

(2)

275

(3)

510

(3)

510

(4)

48
...


and two elements respectively
...


49
...



,


1

...

log x 2

x 2 1 log (36 2 12 x 1 x 2 )

1 2 3 x2

3 x 2 x3
1 1 3 x2

3 x 1 x3
1 1 3 x2

3 x 2 x3
1 2 3 x2

â׿·¤Ü
4



dx

ãñ, Ìæð y ·¤æ °·¤ ×æÙ ãñ Ñ

3 x 1 x3

2 log

log x 2

dx
x 2 1 log (36 2 12 x 1 x 2 )

is equal to :

ÕÚUæÕÚU ãñ Ñ

(1)

4

(1)

4

(2)

1

(2)

1

(3)

6

(3)

6

(4)
51
...


~ s Ú (~ r Ù s ) ·¤æ

çÙáðÏ â×ÌéËØ ãñ Ñ

to :
(1)

s Ù (r Ù ~ s)

(1)

s Ù (r Ù ~ s)

(2)

s Ú (r Ú ~ s)

(2)

s Ú (r Ú ~ s)

(3)

sÙr

(3)

sÙr

(4)

sÙ~r

(4)

sÙ~r

B/Page 18

SPACE FOR ROUGH WORK /


,


ÚUȤ ·¤æØü ·ð¤ çܰ Á»ã

52
...


tower from three collinear points A, B and
C, on a line leading to the foot of the
tower, are 308, 458 and 608 respectively,

ÌèÙ â´ÚðU¹ çÕ´Î饿ð´ A, B ÌÍæ C, °·¤ °ðâè ÚðU¹æ ÂÚU
çSÍÌ ãñ´ Áæð °·¤ ×èÙæÚU ·ð¤ ÂæÎ ·¤è çÎàææ ×ð´ Üð ÁæÌè ãñ,
âð °·¤ ×èÙæÚU ·ð¤ çàæ¹ÚU ·ð¤ ©‹ÙØÙ ·¤æð‡æ ·ý¤×àæÑ
308, 458 ÌÍæ 608 ãñ´, Ìæð AB : BC ·¤æ ¥ÙéÂæÌ ãñ Ñ

then the ratio, AB : BC, is :
(1)

(1)

3: 2

3: 2

(2)

1: 3

(2)

1: 3

(3)

2:3

(3)

2:3

(4)

53
...


lim

x→0

3:1

( 1 2 cos 2 x )( 3 1 cos x ) ÕÚUæÕÚU ãñ Ñ
x tan 4 x

(1)

(1)

3

(2)

2

(2)

2

(3)

1
2

(3)

1
2

(4)

54
...


such that no two of them are collinear and






( a 3 b )3 c 5

1 → → →
b c a
...


1 2 2 


If A 5  2 1 22  is a matrix satisfying
a 2 b 



55
...


If the function
...


ØçΠȤÜÙ

k x 1 1 , 0 [ x [ 3

g( x ) 5 
m x 1 2 , 3 < x [ 5


k x 1 1 , 0 [ x [ 3

g( x ) 5 
m x 1 2 , 3 < x [ 5


is differentiable, then the value of k1m is :

¥ß·¤ÜÙèØ ãñ, Ìæð k1m ·¤æ ×æÙ ãñ Ñ

(1)

16
5

(1)

16
5

(2)

10
3

(2)

10
3

(3)

4

(3)

4

(4)

2

(4)

2

system of linear equations :

·ð¤ âÖè ×æÙæð´ ·¤æ â×鑿Ø, çÁÙ·ð¤ çܰ ÚñUç¹·¤
â×è·¤ÚU‡æ çÙ·¤æØ

2x 122x21x 35lx 1

2x 122x21x 35lx 1

2x 123x 212x 35lx 2

2x 123x 212x 35lx 2

2x112x2

57
...


5lx3

has a non-trivial solution,
(1)

is a singleton
...


(3)

contains more than two elements
...


B/Page 20

SPACE FOR ROUGH WORK /

l

5lx3

·¤æ °·¤ ¥Ìé‘ÀU ãÜ ãñ,
(1) °·¤ °·¤Ü â×é‘¿Ø ãñÐ
(2) ×ð´ Îæð ¥ßØß ãñ´Ð
(3) ×ð´ Îæð âð ¥çÏ·¤ ¥ßØß ãñ´Ð
(4) °·¤ çÚU€Ì â×é‘¿Ø ãñÐ
ÚUȤ ·¤æØü ·ð¤ çܰ Á»ã

58
...


at (1, 1) :

ß·ý ¤ x 212xy23y 2 50 ·ð ¤ çÕ´ Î é
¥çÖÜÕ Ñ

(1, 1)

ÂÚU

(1)

ß·ý¤ ·¤æð ÎæðÕæÚUæ çmÌèØ ¿ÌéÍæZàæ ×ð´ ç×ÜÌæ ãñÐ

(2)

ß·ý¤ ·¤æð ÎæðÕæÚUæ ÌëÌèØ ¿ÌéÍæZàæ ×ð´ ç×ÜÌæ ãñÐ

(3)

ß·ý¤ ·¤æð ÎæðÕæÚUæ ¿ÌéÍü ¿ÌéÍæZàæ ×ð´ ç×ÜÌæ ãñÐ

(4)

meets the curve again in the second

ß·ý¤ ·¤æð ÎæððÕæÚUæ Ùãè´ ç×ÜÌæÐ

quadrant
...


(3)

meets the curve again in the fourth
quadrant
...


does not meet the curve again
...


ßëžææð´

x21y216x118y12650

and

ÚðU¹æ¥æð´ ·¤è â´Øæ ãñ Ñ

is :

(1)

2

(1)

2

(2)

3

(2)

3

(3)

4

(3)

4

(4)

60
...


×æÙæ ¥ß·¤Ü â×è·¤ÚU‡æ

equation

dy
1 y 5 2 x log x , ( x / 1)
...


(1)

»çÌÁ ª¤Áæü, çSÍçÌÁ ª¤Áæü ÌÍæ ·é¤Ü ª¤Áæü ×ð´
·¤×è ãæð ÁæÌè ãñÐ

(2)

»çÌÁ ª¤Áæü ·¤× ãæðÌè ãñ, çSÍçÌÁ ª¤Áæü ÕɸÌè
ãñ ¥æñÚU ·é¤Ü ª¤Áæü ßãè ÚUãÌè ãñÐ

(3)

»çÌÁ ª¤Áæü ß ·é¤Ü ª¤Áæü ·¤× ãæð ÁæÌè ãñ´
ç·¤‹Ìé, çSÍçÌÁ ª¤Áæü Õɸ ÁæÌè ãñÐ

(4)

»çÌÁ ª¤Áæü ×ð´ ßëçh ÌÍæ çSÍçÌÁ ª¤Áæü ÌÍæ
·é¤Ü ª¤Áæü ×ð´ ·¤×è ãæðÌè ãñÐ

As an electron makes a transition from an

61
...


The period of oscillation of a simple
pendulum is T 5 2p

62
...
Measured value
g

of L is 20
...
0 cm

the determination of g is :
(1)

3%

(1)

3%

(2)

1%

(2)

1%

(3)

5%

(3)

5%

(4)

2%

(4)

2%

SPACE FOR ROUGH WORK /

L
g

ãñÐ

ãñ, çÁâ·¤è ØÍæÍüÌæ

ãñÐ §â ÜæðÜ·¤ ·ð¤ 100 ÎæðÜÙæð´ ·¤æ âר
90 s ãñ, çÁâð 1s çßÖðÎÙ ·¤è ƒæÇ¸è âð ÙæÂæ »Øæ ãñÐ Ìæð,
g ·ð¤ çÙÏæüÚU‡æ ×ð´ ØÍæÍüÌæ ãæð»è Ñ
1 mm

watch of 1s resolution
...


A long cylindrical shell carries positive

63
...
The electric field lines around the
cylinder will look like figure given in :
(figures are schematic and not drawn to scale)

ç·¤âè ܐÕð ÕðÜÙæ·¤æÚU ·¤æðàæ ·ð¤ ª¤ÂÚUè Öæ» ×ð´ ÏÙæˆ×·¤
ÂëcÆU ¥æßðàæ s ÌÍæ çÙ¿Üð Öæ» ×ð´ «¤‡ææˆ×·¤ ÂëcÆU
¥æßðàæ 2s ãñ´Ð §â ÕðÜÙ (çâç܋ÇUÚU) ·ð¤ ¿æÚUæð´
¥æðÚU çßléÌ ÿæð˜æ-ÚðU¹æØð´, Øãæ¡ ÎàææüØð »Øð ¥æÚð¹æð´ ×ð´ âð
緤⠥æÚðU¹ ·ð¤ â×æÙ ãæð´»è?
(Øã ¥æÚðU¹ ·ð¤ßÜ ÃØßSÍæ ¥æÚðU¹ ãñ ¥æñÚU S·ð¤Ü ·ð¤
¥ÙéâæÚU Ùãè´ ãñ)

(1)

(1)

(2)

(2)

(3)

(3)

(4)

(4)

signal is/are :

¥æßëçžæ ·ð¤ ç·¤âè â´·ð¤Ì (çâ‚ÙÜ) ·¤æ
2 MHz ¥æßëçžæ ·¤è ßæã·¤ ÌÚ´U» ÂÚU ¥æØæ× ׿òÇéUÜÙ
ç·¤Øæ »Øæ ãñÐ Ìæð, ÂçÚU‡ææ×è çâ‚ÙÜ (â´·ð¤Ì) ·¤è
¥æßëçžæ ãæð»è Ñ

(1)

2005 kHz, and 1995 kHz

(1)

2005 kHz,

(2)

2005 kHz, 2000 kHz and 1995 kHz

(2)

2005 kHz, 2000 kHz

(3)

2000 kHz and 1995 kHz

(3)

2000 kHz

(4)

64
...


modulated on a carrier wave of frequency
2 MHz
...


Consider a spherical shell of radius R at

65
...
The black body radiation
inside it can be considered as an ideal gas
of photons with internal energy per unit
volume

u5

U
; T4
V

and

ç·¤âè »æðÜèØ ·¤æðàæ (àæñÜ) ·¤è ç˜æ’Øæ R ãñ ¥æñÚU §â·¤æ
ÌæÂ T ãñÐ §â·ð¤ ÖèÌÚU ·ë¤çc‡æ·¤æ çßç·¤ÚU‡ææð´ ·¤æð ȤæðÅUæòÙæð´
·¤è °·¤ °ðâè ¥æÎàæü »ñâ ×æÙæ Áæ â·¤Ìæ ãñ çÁâ·¤è
ÂýçÌ §·¤æ§ü ¥æØÌÙ ¥æ‹ÌçÚU·¤ ª¤Áæü,

pressure

ÌÍæ ÎæÕ,

1 U
p 5  
...


T ; e23R

(1)
(2)

T ; e2R

R

3

An inductor (L50
...


(R50
...
The key K1 has been kept closed
for a long time
...

At t51ms, the current in the circuit will
be : (e5@150)

T;

(4)

1

T;

(3)

1
R

T ; e23R

T ; e2R

1
R

1
R3

ÎàææüØð »Øð ÂçÚUÂÍ ×ð´, °·¤ ÂýðÚU·¤ (L50
...
15 kV) ç·¤âè 15V çßléÌ
ßæã·¤ ÕÜ (§ü
...
7 mA

(2)

6
...
67 mA

(3)

0
...


A pendulum made of a uniform wire of

67
...

When an additional mass M is added to
its bob, the time period changes to TM
...
ÇUè
...
1 ßæÅU ÂÚU, °·¤â×æÙ Âý·¤æàæ ©ˆâçÁüÌ ·¤ÚUÌæ ãñÐ
ÇUæØæðÇU âð 1 m ÎêÚUè ÂÚU, §â Âý·¤æàæ ·ð¤ çßléÌ ÿæð˜æ ·¤æ
¥æØæ× ãæð»æ Ñ

(1)

2
...
45 V/m

(2)

5
...
48 V/m

(3)

7
...
75 V/m

(4)

68
...
73 V/m

(4)

1
...
1 watt uniformly

68
...
The amplitude of the electric
field of the light at a distance of 1 m from

B/Page 25

SPACE FOR ROUGH WORK /

ÚUȤ ·¤æØü ·ð¤ çܰ Á»ã

69
...


carry current I in the same direction
...
Then :
(1)





F1 is radially inwards and F2 is

(1)



radially outwards
(2)

(3)

(4)
70
...


isolated closed chamber
...
The value of q is :
Cp 

g 5

Cv 




F1

ãñÐ



F1

ãñÐ

ÖèÌÚU ·¤è ¥æðÚU ß ¥ÚUèØ (ç˜æ’Ø) ãñ ¥æñÚU
ÕæãÚU ·¤è ¥æðÚU ß ¥ÚUèØ ãñÐ
F2 50

ÕæãÚU ·¤è ¥æðÚU ß ¥ÚUèØ ãñ ÌÍæ

F2 50





°·¤ ¥æÎàæü »ñ â ç·¤âè ՋΠ(â´ ß ë Ì ), çßØé € Ì
(çßÜç»Ì) ·¤ÿæ ×ð´ âèç×Ì (ÚU¹è) ãñÐ §â »ñâ ×´ð´
L¤Î÷Ïæðc× ÂýâæÚU ãæðÙð ÂÚU, §â·ð¤ ¥‡æé¥æð´ ·ð¤ Õè¿ ÅU€·¤ÚU
·¤æ ¥æñâÌ ·¤æÜ (âר) Vq ·ð¤ ¥ÙéâæÚU Õɸ ÁæÌæ ãñ,
Áãæ¡ V »ñâ ·¤æ ¥æØÌÙ ãñÐ Ìæð q ·¤æ ×æÙ ãæð»æ :
Cp 

g 5

Cv 


3g 2 5
6

(1)

3g 2 5
6

(2)

g 11
2

(2)

g11
2

(3)

g 21
2

(3)

g21
2

(4)

3g 1 5
6

(4)

3g 1 5
6

SPACE FOR ROUGH WORK /



F1 5 F25 0

(1)

B/Page 26



ÖèÌÚU ·¤è ¥æðÚU ß ¥ÚUèØ ãñ ÌÍæ

ÚUȤ ·¤æØü ·ð¤ çܰ Á»ã

71
...


pendulum
...
¥æÚU) ÂçÚUÂÍ ç·¤âè ¥ß×´çÎÌ ÜæðÜ·¤

·ð¤ ÌéËØ ãæðÌæ ãñÐ ç·¤âè LCR ÂçÚUÂÍ ×ð´ â´ÏæçÚU˜æ ·¤æð
Q0 Ì·¤ ¥æßðçàæÌ ç·¤Øæ »Øæ ãñ, ¥æñÚU çȤÚU §âð ¥æÚðU¹
×ð´ ÎàææüØð »Øð ¥ÙéâæÚU L ß R âð ÁæðÇ¸æ »Øæ ãñÐ

If a student plots graphs of the square of

ØçÎ °·¤ çßlæÍèü L ·ð¤, Îæð çßçÖóæ ×æÙæð´, L1 ÌÍæ L2
(L 1 >L 2 ) ·ð ¤ çÜØð , âר t ÌÍæ â´ Ï æçÚU ˜ æ ÂÚU

with time(t) for two different values L1 and

schematic and not drawn to scale)

2
¥çÏ·¤Ì× ¥æßðàæ ·ð¤ ß»ü QMax ·ð¤ Õè¿ Îæð »ýæÈ¤
ÕÙæÌæ ãñ Ìæð çÙÙæ´ç·¤Ì ×ð´ âð ·¤æñÙ âæ »ýæÈ¤ âãè ãñ?
(ŒÜæòÅU ·ð¤ßÜ ÃØßSÍæ ŒÜæòÅU ãñ´ ÌÍæ S·ð¤Ü ·ð¤ ¥ÙéâæÚU
Ùãè´ ãñ´)

(1)

(1)

(2)

(2)

(3)

(3)

(4)

(4)

2
maximum charge ( QMax ) on the capacitor

L2 (L1>L2) of L then which of the following

represents this graph correctly ? (plots are

B/Page 27

SPACE FOR ROUGH WORK /

ÚUȤ ·¤æØü ·ð¤ çܰ Á»ã

72
...
Taking

72
...


M

2 GM
2R

(4)

2 GM
2R

A train is moving on a straight track with
speed 20 ms21
...


the frequency of 1000 Hz
...


74
...
1
ÌÍæ B ¥æñÚU ÎèßæÚU ·ð¤ Õè¿ 0
...

These are being pressed against a wall by
a force F as shown
...
1 and
between block B and the wall is 0
...


80 N

100 N

(4)

100 N

Distance of the centre of mass of a solid

75
...
If the
radius of its base is R and its height is h
then z0 is equal to :

ç·¤âè °·¤â×æÙ ÆUæðâ àæ´·é¤ ·ð¤ ÎýÃØ×æÙ ·ð¤‹Îý ·¤è
©â·ð¤ àæèáü âð ÎêÚUè z0 ãñÐ ØçÎ àæ´·é¤ ·ð¤ ¥æÏæÚU ·¤è
ç˜æ’Øæ R ÌÍæ àæ´·é¤ ·¤è ª¡¤¿æ§ü h ãæð Ìæð z0 ·¤æ ׿Ù
çÙÙæ´ç·¤Ì ×ð´ âð ç·¤â·ð¤ ÕÚUæÕÚU ãæð»æ?

(1)

3h
4

(1)

3h
4

(2)

5h
8

(2)

5h
8

(3)

3h 2
8R

(3)

3h 2
8R

(4)

h2
4R

(4)

h2
4R

B/Page 29

SPACE FOR ROUGH WORK /

ÚUȤ ·¤æØü ·ð¤ çܰ Á»ã

figures below :

ÌÍæ 5 cm ÖéÁæ¥æð´ ·ð¤ °·¤ ¥æØÌæ·¤æÚU ÜêÂ
(Âæàæ) âð °·¤ çßléÌ ÏæÚUæ, I 5 12 A, ÂýßæçãÌ ãæðU
ÚUãè ãñÐ §â Âæàæ ·¤æð ¥æÚðU¹ ×ð´ ÎàææüØð »Øð ¥ÙéâæÚU
çßçÖóæ ¥çÖçß‹Øæâæð´ (çSÍçÌØæð´) ×ð´ ÚU¹æ »Øæ ãñÐ

(a)

(a)

(b)

(b)

(c)

(c)

(d)

(d)

If there is a uniform magnetic field of

equilibrium and (ii) unstable equilibrium ?

ØçÎ ßãæ¡ 0
...


(a) and (b), respectively

(4)

·ý¤×àæÑ

(a) ÌÍæ (b) ×ð´

A rectangular loop of sides 10 cm and

76
...
3 T in the positive z direction, in which
orientations the loop would be in (i) stable

B/Page 30

SPACE FOR ROUGH WORK /

10 cm

(a) ÌÍæ (c) ×ð´

ÚUȤ ·¤æØü ·ð¤ çܰ Á»ã

77
...


resistor is :

ÎàææüØð »Øð ÂçÚUÂÍ ×ð´
ãæð»è Ñ

(1)

0A

(1)

0 (àæê‹Ø) A

(2)

0
...
13 A, Q

âð P ·¤æð

(3)

0
...
13 A, P

âð Q ·¤æð

(4)

1
...
3 A, P

âð Q ·¤è ¥æðÚU

In the circuit shown, the current in the 1V

1V ÂýçÌÚUæðÏ·¤

âð ÂýßæçãÌ ÏæÚUæ

R has potential V0 (measured with respect

·ð¤ ç·¤âè °·¤â×æÙ ¥æßðçàæÌ ÆUæðâ »æðÜð ·ð¤
ÂëcÆU ·¤æ çßÖß V0 ãñ (: ·ð¤ âæÂðÿæ ×æÂæ »Øæ)Ð §â

equipotential surfaces with potentials

78
...


to :) on its surface
...
Then

R ç˜æ’Øæ

3V0 5V0 3V0
,
,
2
4
4

ÌÍæ

V0
4

ßæÜð â×çßÖßè Âë c ÆU æ ð ´ ·¤è ç˜æ’ØæØð ´ , ·ý ¤ ×àæÑ
R1, R2, R3 ÌÍæ R4 ãñ´Ð Ìæð,

(1)

R1 ¹ 0 and (R22R1) > (R42R3)

(1)

R1 ¹ 0

ÌÍæ (R22R1) > (R42R3)

(2)

R150 and R2 < (R42R3)

(2)

R150

ÌÍæ R2 < (R42R3)

(3)

2R < R4

(3)

2R < R4

(4)

R150 and R2 > (R42R3)

(4)

R150

B/Page 31

SPACE FOR ROUGH WORK /

çßÖßæð´

ÌÍæ R2 > (R42R3)

ÚUȤ ·¤æØü ·ð¤ çܰ Á»ã

and are not to scale)

çÎØð »Øð ÂçÚUÂÍ ×ð´, C ·ð¤ ×æÙ ·ð¤ 1mF âð 3mF
ÂçÚUßçÌüÌ ãæðÙð âð, 2mF â´ÏæçÚU˜æ ÂÚU ¥æßðàæ Q2 ×ð´
ÂçÚUßÌüÙ ãæðÌæ ãñÐ ‘C’ ·ð¤ ȤÜÙ ·ð¤ M¤Â ×ð´ Q2 ·¤æð
·¤æñÙ âæ ¥æÜð¹ âãè ÎàææüÌæ ãñ? (¥æÜð¹ ·ð¤ßÜ
ÃØßSÍæ ¥æÚðU¹ ãñ´ ¥æñÚU S·ð¤Ü ·ð¤ ¥ÙéâæÚU Ùãè´ ãñ´Ð)

(1)

(1)

(2)

(2)

(3)

(3)

(4)

79
...


to 3mF
...


A particle of mass m moving in the

80
...
If the collision is
perfectly inelastic, the percentage loss in

x-çÎàææ

×ð´

2v ¿æÜ âð ¿ÜÌð ãé° m ÎýÃØ×æÙ ·ð¤ °·¤

·¤‡æ âð, y-çÎàææ ×ð´ v ßð» âð ¿ÜÌæ ã饿 2m ÎýÃØ×æÙ
·¤æ °·¤ ·¤‡æ, ÅU·¤ÚUæÌæ ãñÐ ØçÎ Øã ⴃæÅ÷UÅU (ÅU€·¤ÚU)
Âê‡æüÌÑ ¥ÂýˆØæSÍ ãñ Ìæð, ÅU€·¤ÚU ·ð¤ ÎæñÚUæÙ ª¤Áæü ·¤æ ÿæØ
(ãæçÙ) ãæð»è Ñ

the energy during the collision is close to :
(1)

50%

(1)

50%

(2)

56%

(2)

56%

(3)

62%

(3)

62%

(4)

44%

(4)

44%

B/Page 32

SPACE FOR ROUGH WORK /

ÚUȤ ·¤æØü ·ð¤ çܰ Á»ã

81
...


prism of angle A
...




 1  
u < sin21 m sin  A 2 sin21    

 m  






 1  
u > sin21 m sin  A 2 sin21    

 m  




(4)



 1  
u > sin21 m sin  A 2 sin21    

 m  




From a solid sphere of mass M and radius

82
...
Moment of inertia of cube about an
axis passing through its center and
perpendicular to one of its faces is :

ç·¤âè ÆUæðâ »æðÜð ·¤æ ÎýÃØ×æÙ M ÌÍæ §â·¤è ç˜æ’Øæ
R ãñÐ §â×ð´ âð ¥çÏ·¤Ì× â´Öß ¥æØÌÙ ·¤æ °·¤
€ØêÕ (ƒæÙ) ·¤æÅU çÜØæ ÁæÌæ ãñÐ §â €ØêÕ ·¤æ
ÁǸˆß ¥æƒæê‡æü ç·¤ÌÙæ ãæð»æ, ØçÎ, §â·¤è ƒæê‡æüÙ-¥ÿæ,
§â·ð¤ ·ð¤‹Îý âð ãæð·¤ÚU »é$ÁÚUÌè ãñ ÌÍæ §â·ð¤ ç·¤âè °·¤
Ȥܷ¤ ·ð¤ ܐÕßÌ÷U ãñ?

(1)

MR 2
16 2p

(1)

MR 2
16 2p

(2)

4MR 2
9 3p

(2)

4MR 2
9 3p

(3)

4MR 2
3 3p

(3)

4MR 2
3 3p

(4)

MR 2
32 2p

(4)

MR 2
32 2p

B/Page 33

SPACE FOR ROUGH WORK /

ÚUȤ ·¤æØü ·ð¤ çܰ Á»ã

83
...


with List - II (its conclusion) and select
the correct option from the choices given

âê¿è - I (×êÜ ÂýØæð») ·¤æ âê¿è - II (©â·ð¤ ÂçÚU‡ææ×)
·ð¤ âæÍ âé×ðÜÙ (×ñ¿) ·¤èçÁØð ¥æñÚU çÙÙæ´ç·¤Ì
çß·¤ËÂæð´ ×ð´ âð âãè çß·¤Ë ·¤æ ¿ØÙ ·¤èçÁØð Ñ

below the list :
List - I

ÇÏ¤Í - I

List - II

(A)

Franck-Hertz
Experiment
...


(ii)

Discrete energy
levels of atom

(B)

§âœ‰ËÅË ÌÄlα §â½ËÕ 

(ii)

(C)

Davison - Germer
Wave nature of
(iii)
Experiment
...


(A) - (ii)

(A) - (i)

(B) - (iv)

(C) - (iii)

(4)

(A) - (i)

(B) - (iv)

(C) - (iii)

When 5V potential difference is applied

84
...
1 m, the drift
speed of electrons is 2
...
If
the electron density in the wire is
831028 m23, the resistivity of the material

0
...
531024 ms21 ãæðÌè ãñÐ ØçÎ §â ÌæÚU ×ð´ §Üð€ÅþUæòÙ
ƒæÙˆß 831028 m23 ãæð Ìæð, §â ·ð¤ ÂÎæÍü ·¤è
ÂýçÌÚUæðÏ·¤Ìæ ãæð»è, ֻܻ Ñ

is close to :
(1)

1
...
631027 Vm

(2)

1
...
631026 Vm

(3)

1
...
631025 Vm

(4)

1
...
631028 Vm

B/Page 34

SPACE FOR ROUGH WORK /

ÚUȤ ·¤æØü ·ð¤ çܰ Á»ã

(graphs are schematic and not drawn to scale)

ç·¤âè âÚUÜ ÜæðÜ·¤ ·ð¤ çÜØð, ©â·ð¤ çßSÍæÂÙ d ÌÍæ
©â·¤è »çÌÁ ª¤Áæü ·ð¤ Õè¿ ¥æñÚU çßSÍæÂÙ d ÌÍæ
©â·¤è çSÍçÌÁ ª¤Áæü ·ð¤ Õè¿ »ýæÈ¤ ¹è´¿ð »Øð ãñ´Ð
çÙÙæ´ç·¤Ì ×ð´ âð ·¤æñÙ âæ »ýæÈ¤ (¥æÜð¹) âãè ãñ?
(Øãæ¡ »ýæÈ¤ ·ð¤ßÜ ÃØßSÍæ ¥æÚðU¹ ãñ´ ¥æñÚU S·ð¤Ü ·ð¤
¥ÙéâæÚU Ùãè´ ãñ´)

(1)

(1)

(2)

(2)

(3)

(3)

(4)

85
...


between its kinetic energy (KE) and
potential

energy

(PE)

against

its

displacement d
...


Two stones are thrown up simultaneously

86
...
Which of the following graph
best represents the time variation of
relative position of the second stone with

ç·¤âè 240 m ª¡¤¿è ¿æðÅUè ·ð¤ °·¤ ç·¤ÙæÚðU âð, Îæð
ˆÍÚUæð´ ·¤æð °·¤âæÍ ª¤ÂÚU ·¤è ¥æðÚU Èð´¤·¤æ »Øæ ãñ, §Ù·¤è
ÂýæÚ´UçÖ·¤ ¿æÜ ·ý¤×àæÑ 10 m/s ÌÍæ 40 m/s ãñ, Ìæð,
çÙÙæ´ç·¤Ì ×ð´ âð ·¤æñÙâæ »ýæÈ¤ (¥æÜð¹) ÂãÜð ˆÍÚU
·ð¤ âæÂðÿæ ÎêâÚðU ˆÍÚU ·¤è çSÍçÌ ·ð¤ âר çß¿ÚU‡æ
(ÂçÚUßÌüÙ) ·¤æð âßæüçÏ·¤ âãè ÎàææüÌæ ãñ?

respect to the first ?
(Assume stones do not rebound after
hitting the ground and neglect air
resistance, take g510 m/s2)

(×æÙ ÜèçÁ° ç·¤, ˆÍÚU Á×èÙ âð ÅU·¤ÚUæÙð ·ð¤ Âà¿æÌ
ª¤ÂÚU ·¤è ¥æðÚU Ùãè´ ©ÀUÜÌð ãñ´ ÌÍæ ßæØé ·¤æ ÂýçÌÚUæðÏ
Ù»‡Ø ãñ, çÎØæ ãñ g510 m/s2)

scale)

(Øãæ¡ »ýæÈ¤ ·ð¤ßÜ ÃØßSÍæ ¥æÚðU¹ ãñ´ ¥æñÚU S·ð¤Ü ·ð¤
¥ÙéâæÚU Ùãè´ ãñ´)

(1)

(1)

(2)

(2)

(3)

(3)

(4)

(4)

(The figures are schematic and not drawn to

B/Page 36

SPACE FOR ROUGH WORK /

ÚUȤ ·¤æØü ·ð¤ çܰ Á»ã

contact with reservoirs in two ways :

°·¤ ÆUæðâ ç´ÇU (ßSÌé) ·¤è çSÍÚU ª¤c׿ ÏæçÚUÌæ
1 J/8C ãñÐ §â·¤æð ª¤c×·¤æð´ (ª¤c׿ Ö´ÇUæÚUæð´) ·ð¤ âÂ·ü¤
×ð´ ÚU¹·¤ÚU çÙÙ Îæð Âý·¤æÚU âð »×ü ç·¤Øæ ÁæÌæ ãñ,

(i)

87
...


1 J/8C is being heated by keeping it in

Sequentially keeping in contact with
2 reservoirs such that each reservoir
supplies same amount of heat
...


ÎæðÙæð´ çSÍçÌØæð´ ×ð´ ç´ÇU ·¤æ ÂýæÚ´UçÖ·¤ ÌæÂ 1008C ÌÍæ
¥ç‹Ì× ÌæÂ 2008C ãñÐ Ìæð, §Ù Îæð çSÍçÌØæð´ ×ð´ ç´ÇU
·¤è °‹ÅþUæòÂè ×ð´ ÂçÚUßÌüÙ ãæð»æ, ·ý¤×àæÑ

In both the cases body is brought from
initial temperature 1008C to final
temperature 2008C
...
25 cm, ¥æñÚU
SÂcÅU âéçßÏæ ÁÙ·¤ Îð¹Ùð ·¤è ÎêÚUè 25 cm ãæð Ìæð,
500 nm ÌÚ´U»ÎñƒØü ·ð¤ Âý·¤æàæ ×ð´, Îæð ßSÌé¥æð´ ·ð¤ Õè¿
ç·¤ÌÙè ‹ØêÙÌ× ÎêÚUè Ì·¤ ׿Ùß Ùð˜æ ©Ù ÎæðÙæð´ ·ð¤ Õè¿
çßÖðÎÙ ·¤ÚU â·ð¤»æ?

(1)

30 mm

(1)

30 mm

(2)

100 mm

(2)

100 mm

(3)

300 mm

(3)

300 mm

(4)

88
...


of 0
...


89
...
If
wires have mass l per unit length then the
value of I is :
(g5gravitational acceleration)
(1)

2sinu

(2)

2

(3)

(4)
90
...


index of air is smallest near the ground and
increases with height from the ground
...
ÂÚUèÿææ ÂéçSÌ·¤æ/©žæÚU ˜æ ÂÚU çÙÏæüçÚUÌ SÍæÙ ·ð¤ ¥Üæßæ ÂÚUèÿææÍèü
¥ÂÙæ ¥ÙéR¤×æ´·¤ ¥‹Ø ·¤ãè´ Ùãè´ çܹð´Ð
4
...
ÂýˆØð·¤ »ÜÌ ©žæÚU ·ð¤ çܰ ©â ÂýàÙ ·ð¤ çܰ çÙÏæüçÚUÌ ·é¤Ü ¥´·¤æð´
×ð´ âð °·¤-¿æñÍæ§ü (¼) ¥´·¤ ·é¤Ü Øæð» ×ð´ âð ·¤æÅU çܰ Áæ°¡»ðÐ
ØçÎ ©žæÚU ˜æ ×ð´ ç·¤âè ÂýàÙ ·¤æ ·¤æð§ü ©žæÚU Ùãè´ çÎØæ »Øæ ãñ, Ìæð
·é¤Ü Øæð» ×ð´ âð ·¤æð§ü ¥´·¤ Ùãè´ ·¤æÅðU Áæ°¡»ðÐ
6
...
©žæÚU ˜æ ÂÚU ·¤æð§ü Öè ÚUȤ ·¤æØü Øæ çܹæ§ü ·¤æ ·¤æ× ·¤ÚUÙð ·¤è
¥Ùé×çÌ Ùãè´ ãñÐ âÖè »‡æÙæ °ß´ çܹæ§ü ·¤æ ·¤æ×, ÂÚUèÿææ ÂéçSÌ·¤æ
×ð´ çÙÏæüçÚUÌ Á»ã Áæð ç·¤ ÒÚUȤ ·¤æØü ·ð¤ çܰ Á»ãÓ mæÚUæ Ùæ×æ´ç·¤Ì
ãñ, ÂÚU ãè ç·¤Øæ Áæ°»æÐ Øã Á»ã ÂýˆØð·¤ ÂëD ÂÚU Ùè¿ð ·¤è ¥æðÚU ¥æñÚU
ÂéçSÌ·¤æ ·ð¤ ¥´Ì ×ð´ °·¤ ÂëD ÂÚU (ÂëD 39) Îè »§ü ãñÐ
8
...
׿´»ð ÁæÙð ÂÚU ÂýˆØð·¤ ÂÚUèÿææÍèü çÙÚUèÿæ·¤ ·¤æð ¥ÂÙæ Âýßàæ ·¤æÇü çι氡Ð
ð
10
...
·¤æØüÚUÌ çÙÚUèÿæ·¤ ·¤æð ¥ÂÙæ ©žæÚU ˜æ çΰ çÕÙæ °ß´ ©ÂçSÍçÌ Â˜æ
ÂÚU ÎéÕæÚUæ ãSÌæÿæÚU ç·¤° çÕÙæ ·¤æð§ü ÂÚUèÿææÍèü ÂÚUèÿææ ãæòÜ Ùãè´ ÀUæðǸð´»ðÐ
ØçÎ ç·¤âè ÂÚUèÿææÍèü Ùð ÎêâÚUè ÕæÚU ©ÂçSÍçÌ Â˜æ ÂÚU ãSÌæÿæÚU Ùãè´
ç·¤° Ìæð Øã ×æÙæ Áæ°»æ ç·¤ ©âÙ𠩞æÚU ˜æ Ùãè´ ÜæñÅUæØæ ãñ çÁâð
¥Ùéç¿Ì âæÏÙ ÂýØæð» Ÿæð‡æè ×ð´ ×æÙæ Áæ°»æÐ ÂÚUèÿææÍèü ¥ÂÙð ÕæØð´
ãæÍ ·ð¤ ¥´»êÆðU ·¤æ çÙàææÙ ©ÂçSÍçÌ Â˜æ ×ð´ çΰ »° SÍæÙ ÂÚU
¥ßàØ Ü»æ°¡Ð
12
...
ÂÚUèÿææ ãæòÜ ×ð´ ¥æ¿ÚU‡æ ·ð¤ çܰ ÂÚUèÿææÍèü Á
...
/ÕæðÇüU ·ð¤ çÙØ×æð´ °ß´ çßçÙØ×æð´ ·ð¤
¥ÙéâæÚU ãæð»æÐ
14
...
ÂÚUèÿææÍèü mæÚUæ ÂÚUèÿææ ·¤ÿæ/ãæòÜ ×ð´ Âýßðàæ ·¤æÇüU ·ð¤ ¥Üæßæ
ç·¤âè Öè Âý·¤æÚU ·¤è ÂæÆ÷UØ âæ×»ýè, ×éçÎýÌ Øæ ãSÌçÜç¹Ì,
·¤æ»Á ·¤è Âç¿üØæ¡, ÂðÁÚU, ׿ðÕæ§Ü ȤæðÙ Øæ ç·¤âè Öè Âý·¤æÚU
·ð¤ §Üð€ÅþUæòçÙ·¤ ©Â·¤ÚU‡ææð´ Øæ ç·¤âè ¥‹Ø Âý·¤æÚU ·¤è âæ×»ýè
·¤æð Üð ÁæÙð Øæ ©ÂØæð» ·¤ÚUÙð ·¤è ¥Ùé×çÌ Ùãè´ ãñÐ

1
...

on the Test Booklet and Answer Sheet (Side–1) with
Blue/Black Ball Point Pen
...
For writing/marking particulars on Side–2 of the 2
...


3
...

4
...

5
...
No deduction from the total score,
however, will be made if no response is indicated for
an item in the Answer Sheet
...
Handle the Test Booklet and Answer Sheet with care,

as under no circumstances (except for discrepancy in
Test Booklet Code and Answer Sheet Code), another set
will be provided
...
The candidates are not allowed to do any rough work
or writing work on the Answer Sheet
...
This space is given at the bottom of
each page and in one page (i
...
Page 39) at the end of
the booklet
...
On completion of the test, the candidates must hand
over the Answer Sheet to the Invigilator on duty in the
Room/Hall
...

9
...

10
...

11
...
Cases where a candidate has not signed the
Attendance Sheet second time will be deemed not to
have handed over the Answer Sheet and dealt with as
an unfair means case
...

12
...
is
prohibited
...
The candidates are governed by all Rules and
Regulations of the JAB/Board with regard to their
conduct in the Examination Hall
...

14
...

15
...


B/Page 40


Title: jee mains paper
Description: Jee mains paper 2015 (set-B)