This document contains instructions for a test booklet and answer sheet. It states that the test booklet has 40 printed pages and should not be opened until instructed. Candidates must fill in their details on the answer sheet carefully. The test is 3 hours long and consists of 90 questions worth a total of 360 marks across 3 sections. Questions are worth 4 marks each for the correct answer and there will be deductions for incorrect answers. Candidates are not allowed to bring unauthorized materials into the exam hall.
Model Attribute Check Company Auto PropertyCeline George
In Odoo, the multi-company feature allows you to manage multiple companies within a single Odoo database instance. Each company can have its own configurations while still sharing common resources such as products, customers, and suppliers.
Operation “Blue Star” is the only event in the history of Independent India where the state went into war with its own people. Even after about 40 years it is not clear if it was culmination of states anger over people of the region, a political game of power or start of dictatorial chapter in the democratic setup.
The people of Punjab felt alienated from main stream due to denial of their just demands during a long democratic struggle since independence. As it happen all over the word, it led to militant struggle with great loss of lives of military, police and civilian personnel. Killing of Indira Gandhi and massacre of innocent Sikhs in Delhi and other India cities was also associated with this movement.
Macroeconomics- Movie Location
This will be used as part of your Personal Professional Portfolio once graded.
Objective:
Prepare a presentation or a paper using research, basic comparative analysis, data organization and application of economic information. You will make an informed assessment of an economic climate outside of the United States to accomplish an entertainment industry objective.
2024.06.01 Introducing a competency framework for languag learning materials ...Sandy Millin
http://sandymillin.wordpress.com/iateflwebinar2024
Published classroom materials form the basis of syllabuses, drive teacher professional development, and have a potentially huge influence on learners, teachers and education systems. All teachers also create their own materials, whether a few sentences on a blackboard, a highly-structured fully-realised online course, or anything in between. Despite this, the knowledge and skills needed to create effective language learning materials are rarely part of teacher training, and are mostly learnt by trial and error.
Knowledge and skills frameworks, generally called competency frameworks, for ELT teachers, trainers and managers have existed for a few years now. However, until I created one for my MA dissertation, there wasn’t one drawing together what we need to know and do to be able to effectively produce language learning materials.
This webinar will introduce you to my framework, highlighting the key competencies I identified from my research. It will also show how anybody involved in language teaching (any language, not just English!), teacher training, managing schools or developing language learning materials can benefit from using the framework.
How to Make a Field invisible in Odoo 17Celine George
It is possible to hide or invisible some fields in odoo. Commonly using “invisible” attribute in the field definition to invisible the fields. This slide will show how to make a field invisible in odoo 17.
Francesca Gottschalk - How can education support child empowerment.pptxEduSkills OECD
Francesca Gottschalk from the OECD’s Centre for Educational Research and Innovation presents at the Ask an Expert Webinar: How can education support child empowerment?
The French Revolution, which began in 1789, was a period of radical social and political upheaval in France. It marked the decline of absolute monarchies, the rise of secular and democratic republics, and the eventual rise of Napoleon Bonaparte. This revolutionary period is crucial in understanding the transition from feudalism to modernity in Europe.
For more information, visit-www.vavaclasses.com
8. B/Page 8 SPACE FOR ROUGH WORK / ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ã
18. The molecular formula of a commercial
resin used for exchanging ions in water
softening is C8H7SO3Na (Mol. wt. 206).
What would be the maximum uptake of
Ca21 ions by the resin when expressed in
mole per gram resin ?
(1)
1
206
(2)
2
309
(3)
1
412
(4)
1
103
19. Which of the vitamins given below is water
soluble ?
(1) Vitamin D
(2) Vitamin E
(3) Vitamin K
(4) Vitamin C
20. The intermolecular interaction that is
dependent on the inverse cube of distance
between the molecules is :
(1) ion - dipole interaction
(2) London force
(3) hydrogen bond
(4) ion - ion interaction
18. °·¤ 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 (×æðÜ ÂýçÌ
»ýæ× ÚðUç$ÁÙ) €Øæ ãñ?
(1)
1
206
(2)
2
309
(3)
1
412
(4)
1
103
19. çÙÙçÜç¹Ì çßÅUæç×Ùæð´ ×ð´ ÁÜ ×ð´ çßÜðØ ãæðÙð ßæÜæ
ãñ Ñ
(1) çßÅUæç×Ù D
(2) çßÅUæç×Ù E
(3) çßÅUæç×Ù K
(4) çßÅUæç×Ù C
20. ßã ¥´ÌÚUæ-¥‡æé·¤ ¥‹Øæð‹Ø ç·ý¤Øæ Áæ𠥇æé¥æð´ ·ð¤ Õè¿
·¤è ÎêÚUè ·ð¤ ÂýçÌÜæð× ƒæÙ ÂÚU çÙÖüÚU ãñ, ãñ Ñ
(1) ¥æØÙ - çmÏýéß ¥‹Øæð‹Ø
(2) Ü´ÇUÙ ÕÜ
(3) ãæ§üÇþUæðÁÙ Õ´Ï·¤
(4) ¥æØÙ - ¥æØÙ ¥‹Øæð‹Ø
9. SPACE FOR ROUGH WORK / ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ãB/Page 9
21. The following reaction is performed at
298 K.
2 22NO(g) O (g) 2NO (g)1 ì
The standard free energy of formation of
NO(g) is 86.6 kJ/mol at 298 K. What is
the standard free energy of formation of
NO2(g) at 298 K? (Kp51.631012)
(1) 866001R(298) ln(1.631012)
(2)
12
n (1.6 10 )
86600
R (298)
l 3
2
(3) 0.5[2386,6002R(298) ln(1.631012)]
(4) R(298) ln(1.631012)286600
22. Which of the following compounds is not
colored yellow ?
(1) K3[Co(NO2)6]
(2) (NH4)3 [As (Mo3 O10)4]
(3) BaCrO4
(4) Zn2[Fe(CN)6]
23. In Carius method of estimation of
halogens, 250 mg of an organic compound
gave 141 mg of AgBr. The percentage of
bromine in the compound is :
(at. mass Ag5108; Br580)
(1) 36
(2) 48
(3) 60
(4) 24
21. çÙÙçÜç¹Ì ¥çÖç·ý¤Øæ ·¤æð 298 K ÂÚU ç·¤Øæ »ØæÐ
2 22NO(g) O (g) 2NO (g)1 ì
298 K ÂÚU NO(g) ·ð¤ â´ÖßÙ ·¤è ×æÙ·¤ ×é€Ì ª¤Áæü
86.6 kJ/mol ãñÐ 298 K ÂÚU NO2(g) ·¤è ×æÙ·¤
×é€Ì ª¤Áæü €Øæ ãñ? (Kp51.631012)
(1) 866001R(298) ln(1.631012)
(2)
12
n (1.6 10 )
86600
R (298)
l 3
2
(3) 0.5[2386,6002R(298) ln(1.631012)]
(4) R(298) ln(1.631012)286600
22. çΰ »° Øæñç»·¤æð´ ×ð´ ·¤æñÙ âð Øæñç»·¤ ·¤æ Ú´U» ÂèÜæ Ùãè´
ãñ?
(1) K3[Co(NO2)6]
(2) (NH4)3 [As (Mo3 O10)4]
(3) BaCrO4
(4) Zn2[Fe(CN)6]
23. ãñÜæðÁÙ ·ð¤ ¥æ·¤ÜÙ ·¤è ·ñ¤çÚU¥â çßçÏ ×ð´ 250 mg
·¤æÕüçÙ·¤ Øæñç»·¤ 141 mg AgBr ÎðÌæ ãñÐ Øæñç»·¤
×ð´ Õýæð×èÙ ·¤è ÂýçÌàæÌÌæ ãñ :
(ÂÚU×æç‡ß·¤ ÎýÃØ×æÙ Ag5108; Br580)
(1) 36
(2) 48
(3) 60
(4) 24
10. B/Page 10 SPACE FOR ROUGH WORK / ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ã
24. âæðçÇUØ× ÏæÌé °·¤ ¥´ÌÑ·ð¤ç‹ÎýÌ ƒæÙèØ ÁæÜ·¤ ×ð´
ç·ý¤SÅUçÜÌ ãæðÌæ ãñ çÁâ·ð¤ ·¤æðÚU ·¤è Ü´Õæ§ü 4.29Å ãñÐ
âæðçÇUØ× ÂÚU×æ‡æé ·¤è ç˜æ’Øæ ֻܻ ãñ Ñ
(1) 3.22Å
(2) 5.72Å
(3) 0.93Å
(4) 1.86Å
25. çÙÙçÜç¹Ì ×ð´ âð ·¤æñÙ âæ Øæñç»·¤ ’Øæç×ÌèØ
â×æßØßÌæ ÎàææüÌæ ãñ?
(1) 3 - Èð¤çÙÜ - 1 - ŽØêÅUèÙ
(2) 2 - Èð¤çÙÜ - 1 - ŽØêÅUèÙ
(3) 1, 1 - ÇUæ§üÈð¤çÙÜ - 1 - ÂýæðÂðÙ
(4) 1 - Èð¤çÙÜ - 2 - ŽØêÅUèÙ
26. 208C ÂÚU °ðçâÅUæðÙ ·¤è ßæc ÎæÕ 185 torr ãñÐ ÁÕ
208C ÂÚU, 1.2 g ¥ßæcÂàæèÜ ÂÎæÍü ·¤æð 100 g
°ðçâÅUæðÙ ×ð´ ƒææðÜæ »Øæ, ÌÕ ßæc ÎæÕ 183 torr ãæð
»ØæÐ §â ÂÎæÍü ·¤æ ×æðÜÚU ÎýÃØ×æÙ (g mol21 ×ð´)
ãñ Ñ
(1) 64
(2) 128
(3) 488
(4) 32
27. H2O2 ·ð¤ â´ÎÖü ×ð´, çÙÙçÜç¹Ì ·¤ÍÙæð´ ×ð´ âð »ÜÌ
·¤ÍÙ ¿éçÙ° Ñ
(1) Âý·¤æàæ ×ð´ §â·¤æ ¥ÂƒæÅUÙ ãæðÌæ ãñ
(2) §âð ŒÜæçSÅU·¤ Øæ ×æð×¥ÅðU ·¤æ´¿ ÕæðÌÜæð´ ×ð´ ¥´ÏðÚðU
×ð´ â´»ýçãÌ ç·¤Øæ ÁæÌæ ãñ
(3) §âð ÏêÜ âð ÎêÚU ÚU¹Ùæ ¿æçã°
(4) Øã ·ð¤ßÜ ¥æò€âè·¤æÚU·¤ ãñ
24. Sodium metal crystallizes in a body centred
cubic lattice with a unit cell edge of 4.29Å.
The radius of sodium atom is
approximately :
(1) 3.22Å
(2) 5.72Å
(3) 0.93Å
(4) 1.86Å
25. Which of the following compounds will
exhibit geometrical isomerism ?
(1) 3 - Phenyl - 1 - butene
(2) 2 - Phenyl - 1 - butene
(3) 1, 1 - Diphenyl - 1 - propane
(4) 1 - Phenyl - 2 - butene
26. The vapour pressure of acetone at 208C is
185 torr. When 1.2 g of a non-volatile
substance was dissolved in 100 g of acetone
at 208C, its vapour pressure was 183 torr.
The molar mass (g mol21) of the substance
is :
(1) 64
(2) 128
(3) 488
(4) 32
27. From the following statements regarding
H2O2, choose the incorrect statement :
(1) It decomposes on exposure to light
(2) It has to be stored in plastic or wax
lined glass bottles in dark
(3) It has to be kept away from dust
(4) It can act only as an oxidizing agent
12. B/Page 12 SPACE FOR ROUGH WORK / ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ã
PART B — MATHEMATICS Öæ» B — »ç‡æÌ
31. The sum of coefficients of integral powers
of x in the binomial expansion of
( )
50
1 2 x2 is :
(1) ( )501
3
2
(2) ( )501
3 1
2
2
(3) ( )501
2 1
2
1
(4) ( )501
3 1
2
1
32. Let f (x) be a polynomial of degree four
having extreme values at x51 and x52.
If 20
( )
1 3
x
f x
lim
x→
1 5 , then f (2) is equal
to :
(1) 24
(2) 0
(3) 4
(4) 28
33. The mean of the data set comprising of 16
observations is 16. If one of the observation
valued 16 is deleted and three new
observations valued 3, 4 and 5 are added
to the data, then the mean of the resultant
data, is :
(1) 16.0
(2) 15.8
(3) 14.0
(4) 16.8
31. ( )
50
1 2 x2 ·ð¤ çmÂÎ ÂýâæÚU ×ð´ x ·¤è Âê‡ææZ·¤èØ
ƒææÌæ𴠷𤠻é‡ææ´·¤æð´ ·¤æ Øæð» ãñ Ñ
(1) ( )501
3
2
(2) ( )501
3 1
2
2
(3) ( )501
2 1
2
1
(4) ( )501
3 1
2
1
32. ×æÙæ f (x) ƒææÌ 4 ·¤æ °·¤ ÕãéÂÎ ãñ çÁâ·ð¤
x51 ÌÍæ x52 ÂÚU ¿ÚU× ×æÙ ãñ´Ð ØçÎ
20
( )
1 3
x
f x
lim
x→
1 5 ãñ, Ìæð f (2) ÕÚUæÕÚU ãñ Ñ
(1) 24
(2) 0
(3) 4
(4) 28
33. 16 Âýðÿæ‡ææð´ ßæÜð ¥æ¡·¤Ç¸æð´ ·¤æ ×æŠØ 16 ãñÐ ØçÎ °·¤
Âýðÿæ‡æ çÁâ·¤æ ×æÙ 16 ãñ, ·¤æð ãÅUæ ·¤ÚU, 3 ÙØð Âýðÿæ‡æ
çÁÙ·ð¤ ×æÙ 3, 4 ÌÍæ 5 ãñ´, ¥æ¡·¤Ç¸æð´ ×ð´ ç×Üæ çÎØð ÁæÌð
ãñ´, Ìæð ÙØð ¥æ¡·¤Ç¸æð´ ·¤æ ×æŠØ ãñ Ñ
(1) 16.0
(2) 15.8
(3) 14.0
(4) 16.8
16. B/Page 16 SPACE FOR ROUGH WORK / ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ã
42. The equation of the plane containing the
line 2x25y1z53; x1y14z55, and
parallel to the plane, x13y16z51, is :
(1) x13y16z527
(2) x13y16z57
(3) 2x16y112z5213
(4) 2x16y112z513
43. The area (in sq. units) of the region
described by
{(x, y) : y2 [ 2x and y / 4x 2 1} is :
(1)
5
64
(2)
15
64
(3)
9
32
(4)
7
32
44. If m is the A.M. of two distinct real
numbers l and n (l, n > 1) and G1, G2 and
G3 are three geometric means between l
and n, then 4 4 4
1 2 3G 2G G1 1 equals.
(1) 4 lm2n
(2) 4 lmn2
(3) 4 l2m2n2
(4) 4 l2mn
42. ÚðU¹æ 2x25y1z53, x1y14z55 ·¤æð ¥´ÌçßücÅU
·¤ÚUÙð ßæÜð â×ÌÜ, Áæð â×ÌÜ x13y16z51 ·ð¤
â×æ´ÌÚU ãñ, ·¤æ â×è·¤ÚU‡æ ãñ Ñ
(1) x13y16z527
(2) x13y16z57
(3) 2x16y112z5213
(4) 2x16y112z513
43. {(x, y) : y2[ 2x ÌÍæ y / 4x 2 1} mæÚUæ ÂçÚUÖæçáÌ
ÿæð˜æ ·¤æ ÿæð˜æÈ¤Ü (ß»ü §·¤æ§Øæð´) ×ð´ ãñ Ñ
(1)
5
64
(2)
15
64
(3)
9
32
(4)
7
32
44. ØçÎ Îæð çßçÖ‹Ù ßæSÌçß·¤ â´Øæ¥æð´ l ÌÍæ n
(l, n > 1) ·¤æ â×æ´ÌÚU ×æŠØ (A.M.) m ãñ ¥æñÚU l ÌÍæ
n ·ð¤ Õè¿ ÌèÙ »é‡ææðžæÚU ×æŠØ (G.M.) G1, G2 ÌÍæ
G3 ãñ´, Ìæð 4 4 4
1 2 3G 2G G1 1 ÕÚUæÕÚU ãñ Ñ
(1) 4 lm2n
(2) 4 lmn2
(3) 4 l2m2n2
(4) 4 l2mn
18. B/Page 18 SPACE FOR ROUGH WORK / ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ã
49. Let
1 1 1
2
2
tan tan tan ,
1
x
y x
x
2 2 2
5 1
2
where
1
<
3
x? ? . Then a value of y is :
(1)
3
2
3
1 3
x x
x
1
2
(2)
3
2
3
1 3
x x
x
2
1
(3)
3
2
3
1 3
x x
x
1
1
(4)
3
2
3
1 3
x x
x
2
2
50. The integral
4 2
2 2
2
log
d
log log (36 12 )
x
x
x x x
∫ 1 2 1
is equal to :
(1) 4
(2) 1
(3) 6
(4) 2
51. The negation of ~ s Ú (~ r Ù s ) is equivalent
to :
(1) s Ù (r Ù ~ s)
(2) s Ú (r Ú ~ s)
(3) s Ù r
(4) s Ù ~ r
49. ×æÙæ
1 1 1
2
2
tan tan tan ,
1
x
y x
x
2 2 2
5 1
2
Áãæ¡
1
<
3
x? ? ãñ, Ìæð y ·¤æ °·¤ ×æÙ ãñ Ñ
(1)
3
2
3
1 3
x x
x
1
2
(2)
3
2
3
1 3
x x
x
2
1
(3)
3
2
3
1 3
x x
x
1
1
(4)
3
2
3
1 3
x x
x
2
2
50. â×æ·¤Ü
4 2
2 2
2
log
d
log log (36 12 )
x
x
x x x
∫ 1 2 1
ÕÚUæÕÚU ãñ Ñ
(1) 4
(2) 1
(3) 6
(4) 2
51. ~ s Ú (~ r Ù s ) ·¤æ çÙáðÏ â×ÌéËØ ãñ Ñ
(1) s Ù (r Ù ~ s)
(2) s Ú (r Ú ~ s)
(3) s Ù r
(4) s Ù ~ r
20. B/Page 20 SPACE FOR ROUGH WORK / ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ã
55. If
1 2 2
A 2 1 2
a 2 b
5 2 is a matrix satisfying
the equation AAT59I, where I is 333
identity matrix, then the ordered pair
(a, b) is equal to :
(1) (22, 1)
(2) (2, 1)
(3) (22, 21)
(4) (2, 21)
56. If the function.
1 , 0 3
g( )
m 2 , 3 < 5
k x x
x
x x
1 [ [
5
1 [
is differentiable, then the value of k1m is :
(1)
16
5
(2)
10
3
(3) 4
(4) 2
57. The set of all values of l for which the
system of linear equations :
2x122x21x35lx1
2x123x212x35lx2
2x112x2 5lx3
has a non-trivial solution,
(1) is a singleton.
(2) contains two elements.
(3) contains more than two elements.
(4) is an empty set.
55. ØçÎ
1 2 2
A 2 1 2
a 2 b
5 2 °·¤ °ðâæ ¥æÃØêã ãñ Áæð
¥æÃØêã â×è·¤ÚU‡æ AAT59I, ·¤æð â´ÌécÅU ·¤ÚUÌæ ãñ,
Áãæ¡ I, 333 ·¤æ ̈â×·¤ ¥æÃØêã ãñ, Ìæð ·ý¤ç×Ì Øé‚×
(a, b) ·¤æ ×æÙ ãñ Ñ
(1) (22, 1)
(2) (2, 1)
(3) (22, 21)
(4) (2, 21)
56. ØçΠȤÜÙ
1 , 0 3
g( )
m 2 , 3 < 5
k x x
x
x x
1 [ [
5
1 [
¥ß·¤ÜÙèØ ãñ, Ìæð k1m ·¤æ ×æÙ ãñ Ñ
(1)
16
5
(2)
10
3
(3) 4
(4) 2
57. l ·ð¤ âÖè ×æÙæð´ ·¤æ â×é‘¿Ø, çÁÙ·ð¤ çÜ° ÚñUç¹·¤
â×è·¤ÚU‡æ çÙ·¤æØ
2x122x21x35lx1
2x123x212x35lx2
2x112x2 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
23. SPACE FOR ROUGH WORK / ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ãB/Page 23
63. ç·¤âè ÜÕð 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 (çâçÜ‹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)
(2)
(3)
(4)
64. 5 kHz ¥æßëçžæ ·ð¤ ç·¤âè â´·ð¤Ì (çâ‚ÙÜ) ·¤æ
2 MHz ¥æßëçžæ ·¤è ßæã·¤ ÌÚ´U» ÂÚU ¥æØæ× ×æòÇéUÜÙ
ç·¤Øæ »Øæ ãñÐ Ìæð, ÂçÚU‡ææ×è çâ‚ÙÜ (â´·ð¤Ì) ·¤è
¥æßëçžæ ãæð»è Ñ
(1) 2005 kHz, ÌÍæ 1995 kHz
(2) 2005 kHz, 2000 kHz ÌÍæ 1995 kHz
(3) 2000 kHz ÌÍæ 1995 kHz
(4) 2 MHz ·ð¤ßÜ
63. A long cylindrical shell carries positive
surface charge s in the upper half and
negative surface charge 2s in the lower
half. The electric field lines around the
cylinder will look like figure given in :
(figures are schematic and not drawn to scale)
(1)
(2)
(3)
(4)
64. A signal of 5 kHz frequency is amplitude
modulated on a carrier wave of frequency
2 MHz. The frequencies of the resultant
signal is/are :
(1) 2005 kHz, and 1995 kHz
(2) 2005 kHz, 2000 kHz and 1995 kHz
(3) 2000 kHz and 1995 kHz
(4) 2 MHz only
24. B/Page 24 SPACE FOR ROUGH WORK / ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ã
65. ç·¤âè »æðÜèØ ·¤æðàæ (àæñÜ) ·¤è ç˜æ’Øæ R ãñ ¥æñÚU §â·¤æ
Ìæ 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, 4U
u T
V
5 ;
ÌÍæ ÎæÕ,
1 U
p
3 V
5 ãñÐ ØçÎ §â ·¤æðàæ ×ð´ L¤Î÷Ïæðc×
ÂýâæÚU ãæð Ìæð, T ÌÍæ R ·ð¤ Õè¿ â´Õ´Ï ãæð»æ Ñ
(1) T ; e23R
(2)
1
T
R
;
(3) 3
1
T
R
;
(4) T ; e2R
66. ÎàææüØð »Øð ÂçÚUÂÍ ×ð´, °·¤ ÂýðÚU·¤ (L50.03H) ÌÍæ
°·¤ ÂýçÌÚUæðÏ·¤ (R50.15 kV) ç·¤âè 15V çßléÌ
ßæã·¤ ÕÜ (§ü.°×.°È¤) ·¤è ÕñÅUÚUè âð ÁéǸð ãñ´Ð ·é´¤Áè
K1 ·¤æð ÕãéÌ â×Ø Ì·¤ Õ‹Î ÚU¹æ »Øæ ãñÐ §â·ð¤
Âà¿æÌ÷ â×Ø t50 ÂÚU, K1 ·¤æð ¹æðÜ ·¤ÚU âæÍ ãè
âæÍ, K2 ·¤æð Õ‹Î ç·¤Øæ ÁæÌæ ãñÐ â×Ø t51ms
ÂÚU, ÂçÚUÂÍ ×ð´ çßléÌ ÏæÚUæ ãæð»è Ñ (e5@150)
(1) 67 mA
(2) 6.7 mA
(3) 0.67 mA
(4) 100 mA
65. Consider a spherical shell of radius R at
temperature T. The black body radiation
inside it can be considered as an ideal gas
of photons with internal energy per unit
volume 4U
u T
V
5 ; and pressure
1 U
p
3 V
5 . If the shell now undergoes
an adiabatic expansion the relation
between T and R is :
(1) T ; e23R
(2)
1
T
R
;
(3) 3
1
T
R
;
(4) T ; e2R
66. An inductor (L50.03H) and a resistor
(R50.15 kV) are connected in series to a
battery of 15V EMF in a circuit shown
below. The key K1 has been kept closed
for a long time. Then at t50, K1 is opened
and key K2 is closed simultaneously.
At t51ms, the current in the circuit will
be : (e5@150)
(1) 67 mA
(2) 6.7 mA
(3) 0.67 mA
(4) 100 mA
26. B/Page 26 SPACE FOR ROUGH WORK / ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ã
69. Îæð â×æÿæè ÂçÚUÙæçÜ·¤æ¥æð´ ×ð´, ÂýˆØð·¤ âð I ÏæÚUæ °·¤ ãè
çÎàææ ×ð´ ÂýßæçãÌ ãæð ÚUãè ãñÐ ØçÎ, ÕæãÚUè ÂçÚUÙæçÜ·¤æ
·ð¤ ·¤æÚU‡æ, ÖèÌÚUè ÂçÚUÙæçÜ·¤æ ÂÚU ¿éÕ·¤èØ ÕÜ
1F
→
ÌÍæ ÖèÌÚUè ÂçÚUÙæçÜ·¤æ ·ð¤ ·¤æÚU‡æ, ÕæãÚUè ÂçÚUÙæçÜ·¤æ
ÂÚU ¿éÕ·¤èØ ÕÜ 2F
→
ãæð Ìæð Ñ
(1) 1F
→
ÖèÌÚU ·¤è ¥æðÚU ß ¥ÚUèØ (ç˜æ’Ø) ãñ ¥æñÚU
2F
→
ÕæãÚU ·¤è ¥æðÚU ß ¥ÚUèØ ãñÐ
(2) 1F
→
ÖèÌÚU ·¤è ¥æðÚU ß ¥ÚUèØ ãñ ÌÍæ 2F
→
50
ãñÐ
(3) 1F
→
ÕæãÚU ·¤è ¥æðÚU ß ¥ÚUèØ ãñ ÌÍæ 2F
→
50
ãñÐ
(4) 1 2F F 0
→ →
5 5
70. °·¤ ¥æÎàæü »ñâ ç·¤âè Õ‹Î (â´ßëÌ), 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 (â×Ø) V
q
·ð¤ ¥ÙéâæÚU Õɸ ÁæÌæ ãñ,
Áãæ¡ V »ñâ ·¤æ ¥æØÌÙ ãñÐ Ìæð q ·¤æ ×æÙ ãæð»æ :
p
v
C
C
g 5
(1)
3 5
6
g 2
(2) 1
2
g 1
(3)
1
2
g 2
(4)
3 5
6
g 1
69. Two coaxial solenoids of different radii
carry current I in the same direction. Let
1F
→
be the magnetic force on the inner
solenoid due to the outer one and 2F
→
be
the magnetic force on the outer solenoid
due to the inner one. Then :
(1) 1F
→
is radially inwards and 2F
→
is
radially outwards
(2) 1F
→
is radially inwards and 2F
→
50
(3) 1F
→
is radially outwards and 2F
→
50
(4) 1 2F F 0
→ →
5 5
70. Consider an ideal gas confined in an
isolated closed chamber. As the gas
undergoes an adiabatic expansion, the
average time of collision between
molecules increases as V
q
, where V is the
volume of the gas. The value of q is :
p
v
C
C
g 5
(1)
3 5
6
g 2
(2) 1
2
g 1
(3)
1
2
g 2
(4)
3 5
6
g 1
27. SPACE FOR ROUGH WORK / ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ãB/Page 27
71. LCR (°Ü.âè.¥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
ØçÎ °·¤ çßlæÍèü L ·ð¤, Îæð çßçÖóæ ×æÙæð´, L1 ÌÍæ L2
(L1>L2) ·ð¤ çÜØð, â×Ø t ÌÍæ â´ÏæçÚU˜æ ÂÚU
¥çÏ·¤Ì× ¥æßðàæ ·ð¤ ß»ü 2
MaxQ ·ð¤ Õè¿ Îæð »ýæȤ
ÕÙæÌæ ãñ Ìæð çÙÙæ´ç·¤Ì ×ð´ âð ·¤æñÙ âæ »ýæȤ âãè ãñ?
(ŒÜæòÅU ·ð¤ßÜ ÃØßSÍæ ŒÜæòÅU ãñ´ ÌÍæ S·ð¤Ü ·ð¤ ¥ÙéâæÚU
Ùãè´ ãñ´)
(1)
(2)
(3)
(4)
71. An LCR circuit is equivalent to a damped
pendulum. In an LCR circuit the capacitor
is charged to Q0 and then connected to
the L and R as shown below :
If a student plots graphs of the square of
maximum charge ( 2
MaxQ ) on the capacitor
with time(t) for two different values L1 and
L2 (L1>L2) of L then which of the following
represents this graph correctly ? (plots are
schematic and not drawn to scale)
(1)
(2)
(3)
(4)
30. B/Page 30 SPACE FOR ROUGH WORK / ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ã
76. 10 cm ÌÍæ 5 cm ÖéÁæ¥æ𴠷𤠰·¤ ¥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)
(b)
(c)
(d)
ØçÎ ßãæ¡ 0.3 T ÌèßýÌæ ·¤æ ·¤æð§ü °·¤â×æÙ ¿éÕ·¤èØ
ÿæð˜æ, ÏÙæˆ×·¤ z çÎàææ ×ð´ çßl×æÙ ãñ Ìæð, ÎàææüØð »Øð
緤⠥çÖçß‹Øæâ ×ð´, Øã Âæàæ (ÜêÂ) (i) SÍæØè
â´ÌéÜÙ ÌÍæ (ii) ¥SÍæØè â´ÌéÜÙ ×ð´, ãæð»æ?
(1) ·ý¤×àæÑ (a) ÌÍæ (c) ×ð´
(2) ·ý¤×àæÑ (b) ÌÍæ (d) ×ð´
(3) ·ý¤×àæÑ (b) ÌÍæ (c) ×ð´
(4) ·ý¤×àæÑ (a) ÌÍæ (b) ×ð´
76. A rectangular loop of sides 10 cm and
5 cm carrying a current I of 12 A is placed
in different orientations as shown in the
figures below :
(a)
(b)
(c)
(d)
If there is a uniform magnetic field of
0.3 T in the positive z direction, in which
orientations the loop would be in (i) stable
equilibrium and (ii) unstable equilibrium ?
(1) (a) and (c), respectively
(2) (b) and (d), respectively
(3) (b) and (c), respectively
(4) (a) and (b), respectively
31. SPACE FOR ROUGH WORK / ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ãB/Page 31
77.
ÎàææüØð »Øð ÂçÚUÂÍ ×ð´ 1V ÂýçÌÚUæðÏ·¤ âð ÂýßæçãÌ ÏæÚUæ
ãæð»è Ñ
(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
78. R ç˜æ’Øæ ·ð¤ ç·¤âè °·¤â×æÙ ¥æßðçàæÌ ÆUæðâ »æðÜð ·ð¤
ÂëcÆU ·¤æ çßÖß V0 ãñ (: ·ð¤ âæÂðÿæ ×æÂæ »Øæ)Ð §â
»æðÜð ·ð¤ çÜØð, 0 0 03V 5V 3V
, ,
2 4 4
ÌÍæ 0V
4
çßÖßæð´
ßæÜð â×çßÖßè ÂëcÆUæð´ ·¤è ç˜æ’ØæØð´, ·ý¤×àæÑ
R1, R2, R3 ÌÍæ R4 ãñ´Ð Ìæð,
(1) R1 ¹ 0 ÌÍæ (R22R1) > (R42R3)
(2) R150 ÌÍæ R2 < (R42R3)
(3) 2R < R4
(4) R150 ÌÍæ R2 > (R42R3)
77.
In the circuit shown, the current in the 1V
resistor is :
(1) 0A
(2) 0.13 A, from Q to P
(3) 0.13 A, from P to Q
(4) 1.3 A, from P to Q
78. A uniformly charged solid sphere of radius
R has potential V0 (measured with respect
to :) on its surface. For this sphere the
equipotential surfaces with potentials
0 0 03V 5V 3V
, ,
2 4 4
and 0V
4
have radius R1,
R2, R3 and R4 respectively. Then
(1) R1 ¹ 0 and (R22R1) > (R42R3)
(2) R150 and R2 < (R42R3)
(3) 2R < R4
(4) R150 and R2 > (R42R3)
32. B/Page 32 SPACE FOR ROUGH WORK / ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ã
79. 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)
(2)
(3)
(4)
80. x-çÎàææ ×ð´ 2v ¿æÜ âð ¿ÜÌð ãé° m ÎýÃØ×æÙ ·ð¤ °·¤
·¤‡æ âð, y-çÎàææ ×ð´ v ßð» âð ¿ÜÌæ ãé¥æ 2m ÎýÃØ×æÙ
·¤æ °·¤ ·¤‡æ, ÅU·¤ÚUæÌæ ãñÐ ØçÎ Øã â´ƒæÅ÷UÅU (ÅU€·¤ÚU)
Âê‡æüÌÑ ¥ÂýˆØæSÍ ãñ Ìæð, ÅU€·¤ÚU ·ð¤ ÎæñÚUæÙ ª¤Áæü ·¤æ ÿæØ
(ãæçÙ) ãæð»è Ñ
(1) 50%
(2) 56%
(3) 62%
(4) 44%
79. In the given circuit, charge Q2 on the 2mF
capacitor changes as C is varied from 1mF
to 3mF. Q2 as a function of ‘C’ is given
properly by : (figures are drawn schematically
and are not to scale)
(1)
(2)
(3)
(4)
80. A particle of mass m moving in the
x direction with speed 2v is hit by another
particle of mass 2m moving in the
y direction with speed v. If the collision is
perfectly inelastic, the percentage loss in
the energy during the collision is close to :
(1) 50%
(2) 56%
(3) 62%
(4) 44%
33. SPACE FOR ROUGH WORK / ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ãB/Page 33
81. ·¤æ¡¿ ·ð¤ ç·¤âè çÂý’× ·¤æ ·¤æð‡æ ‘A’ ãñÐ §â ÂÚU
°·¤ß‡æèü Âý·¤æàæ ¥æÂçÌÌ ãæðÌæ ãñÐ ØçÎ, çÂý’× ·ð¤
ÂÎæÍü ·¤æ ¥ÂßÌüÙæ´·¤ m ãñ Ìæð, çÂý’× ·ð¤ AB Ȥܷ¤
ÂÚU, u ·¤æð‡æ ¥æÂçÌÌ Âý·¤æàæ ·¤è ç·¤ÚU‡æ, çÂý’× ·ð¤
Ȥܷ¤ AC âð ÂæÚU»Ì ãæð»è ØçÎ Ñ
(1) 1 1 1
< sin sin A sin
2 2
u m 2
m
(2) 1 1 1
> cos sin A sin
2 2
u m 1
m
(3) 1 1 1
< cos sin A sin
2 2
u m 1
m
(4) 1 1 1
> sin sin A sin
2 2
u m 2
m
82. 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¤ ÜÕßÌ÷U ãñ?
(1)
2
MR
16 2p
(2)
2
4MR
9 3p
(3)
2
4MR
3 3p
(4)
2
MR
32 2p
81. Monochromatic light is incident on a glass
prism of angle A. If the refractive index of
the material of the prism is m, a ray,
incident at an angle u, on the face AB
would get transmitted through the face AC
of the prism provided :
(1) 1 1 1
< sin sin A sin
2 2
u m 2
m
(2) 1 1 1
> cos sin A sin
2 2
u m 1
m
(3) 1 1 1
< cos sin A sin
2 2
u m 1
m
(4) 1 1 1
> sin sin A sin
2 2
u m 2
m
82. From a solid sphere of mass M and radius
R a cube of maximum possible volume is
cut. Moment of inertia of cube about an
axis passing through its center and
perpendicular to one of its faces is :
(1)
2
MR
16 2p
(2)
2
4MR
9 3p
(3)
2
4MR
3 3p
(4)
2
MR
32 2p
38. B/Page 38 SPACE FOR ROUGH WORK / ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ã
89.
Îæð ÂÌÜð ÜÕð ÌæÚUæð´ ×ð´ ÂýˆØð·¤ âð I ÏæÚUæ ÂýßæçãÌ ãæð ÚUãè
ãñÐ §‹ãð´ L ÜÕæ§ü ·ð¤ çßléÌÚUæðÏè Ïæ»æð´ âð ÜÅU·¤æØæ
»Øæ ãñÐ §Ù Ïæ»æð´ ×ð´ ÂýˆØð·¤ ·ð¤ mæÚUæ ª¤ŠßæüÏÚU çÎàææ âð
‘u’ ·¤æð‡æ ÕÙæÙð ·¤è çSÍçÌ ×ð´, Øð ÎæðÙæð´ ÌæÚU âæØæßSÍæ
×ð´ ÚUãÌð ãñ´Ð ØçÎ §Ù ÌæÚUæð´ ·¤è ÂýçÌ §·¤æ§ü ÜÕæ§ü
ÎýÃØ×æÙ l ãñ ÌÍæ g »éL¤ˆßèØ ˆßÚU‡æ ãñ Ìæð, I ·¤æ ×æÙ
ãæð»æ Ñ
(1)
0
gL
2sin
cos
pl
u
m u
(2)
0
gL
2 tan
p
u
m
(3)
0
gL
tan
pl
u
m
(4)
0
gL
sin
cos
pl
u
m u
90. »ýèc× «¤Ìé ·¤è »×ü ÚUæç˜æ ×ð´, Öê-ÌÜ ·ð¤ çÙ·¤ÅU, ßæØé ·¤æ
¥ÂßÌüÙæ´·¤ ‹ØêÙÌ× ãæðÌæ ãñ ¥æñÚU Öê-ÌÜ â𠪡¤¿æ§ü ·ð¤
âæÍ ÕɸÌæ ÁæÌæ ãñÐ ØçÎ, ·¤æð§ü Âý·¤æàæ-ç·¤ÚU‡æ-´éÁ
ÿæñçÌÁ çÎàææ ×ð´ Áæ ÚUãæ ãæð Ìæð, ã槻ð‹â ·ð¤ çâhæ‹Ì âð
Øã ÂçÚU‡ææ× ÂýæŒÌ ãæðÌæ ãñ ç·¤, ¿ÜÌð ãé°
Âý·¤æàæ-ç·¤ÚU‡æ ´éÁ Ñ
(1) çÕÙæ çßÿæðçÂÌ ãé°, ÿæñçÌÁ çÎàææ ×ð´ ¿ÜÌæ
ÚUãð»æÐ
(2) Ùè¿ð ·¤è ¥æðÚU Ûæé·¤ ÁæØð»æÐ
(3) ª¤ÂÚU ·¤è ¥æðÚU Ûæé·¤ ÁæØð»æÐ
(4) â´·é¤ç¿Ì (â´·¤è‡æü) ãæð ÁæØð»æÐ
- o 0 o -
89.
Two long current carrying thin wires, both
with current I, are held by insulating
threads of length L and are in equilibrium
as shown in the figure, with threads
making an angle ‘u’ with the vertical. If
wires have mass l per unit length then the
value of I is :
(g5gravitational acceleration)
(1)
0
gL
2sin
cos
pl
u
m u
(2)
0
gL
2 tan
p
u
m
(3)
0
gL
tan
pl
u
m
(4)
0
gL
sin
cos
pl
u
m u
90. On a hot summer night, the refractive
index of air is smallest near the ground and
increases with height from the ground.
When a light beam is directed horizontally,
the Huygens’ principle leads us to conclude
that as it travels, the light beam :
(1) goes horizontally without any
deflection
(2) bends downwards
(3) bends upwards
(4) becomes narrower
- o 0 o -
39. SPACE FOR ROUGH WORK / ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ãB/Page 39
SPACE FOR ROUGH WORK / ÚȤ ·¤æØü ·ð¤ çÜ° Á»ã