LTS 06 Paper E
LTS 06 Paper E
Section - A (Physics)
English 3 E
Section - A (Physics) 6. For a gas of molecular weight M specific heat capacity
1. A particle is executing SHM of amplitude 8 cm. At CP
at constant pressure is ( )
what displacement from the mean position, the energy CV
(3) 1:2 (4) 3:4 7. Two mole of an ideal monoatomic gas occupy a
3. Calculate the work done by a gas as it is taken from 1 volume 2V at temperature 300 K, it expands to a
to 2, 2 to 3 and 3 to 1 as shown in the figure. The work volume 16V adiabatically, then the final temperature of
2
(1) 0 (2)
3
(3) (4)
6
13. If x, v and a represent the displacement, the velocity (iv) The velocity of the wave is 250 m s–1.
and the acceleration of a particle executing simple Which of the following statements are correct?
harmonic motion of time period T then which of the (1) (i), (ii) and (iii) (2) (ii) and (iii)
following does not change with time? (3) (i) and (iv) (4) All are correct
17. Two pipes are each 50 cm in length. One of them is
aT
(1) (2) aT 2v closed at one end while the other is open at both ends.
v
The speed of sound in air is 340 m s–1. The frequency at
aT
(3) (4) a 2 T 4 2 v 2 which both pipes can resonate is
x
(1) 680 Hz (2) 510 Hz
14. Which one of the following statements is true for the
(3) 85 Hz (4) None of these
velocity v and the acceleration a of a particle executing
18. the fundamental note produced by a closed organ pipe
simple harmonic motion?
is of frequency . The fundamental note produced by
(1) When v is maximum, a is zero. an open organ pipe of same length will be of frequency
(2) When v is zero, a is zero.
(1) (2)
2
(3) When v is maximum, a is maximum.
(3) 2 (4) 4
(4) value of a is zero, whatever may be the value of v.
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–1
19. Three metal rods of the same material and identical in 24. A body is moving with velocity 30 ms towards east.
all respects are joined as shown in the figure. The –1
After 10s, its velocity becomes 40 ms towards north.
temperatures at the ends are maintained as indicated. The average acceleration of the body is
Assuming no loss of heat from the curved surfaces of
(1) 7 ms–2 (2) 7ms2
the rods, the temperature at the junction X would be
(3) 5 ms–2 (4) 1 ms–2
25. A 500 kg car takes a round turn of radius 50 m with a
01
velocity of 36 kmh . The centripetal force is
(1) 250 N (2) 750 N
(3) 1000 N (4) 1200 N
26. An orbital electron in the ground state of hydrogen has
(1) 45 C (2) 60 C
an angular momentum L1 and an orbital electron in the
(3) 30 C (4) 20 C
ground state of lithium (double ionized positively) has
20. 10g of ice at 0 C is mixed with 100g of water at an angular momentum L2, then
50 C in a calorimeter. The final temperature of the (1) L1 = L2 (2) L1 = 3L2
mixture is [Specific heat of water =
(3) L2 = 3L1 (4) L2 = 9L1
1 cal g1 C1, latent heat of fusion of ice = 80 cal g–1]
27. A force of 100 N acts on a charge of 2 10–4 C. The
(1) 31.2 C (2) 32.8 C intensity of electric field at a point close to charge is
(3) 36.7 C (4) 38.2 C (1) 5 105 N/C (2) 4 104 N/C
21. A pan filled with hot food cools form 94 C to 86 C in (3) 2 10–2 N/C (4) 2 105 N/C
2 minutes when the room temperature is at 20 C . The 28. Three identical metallic uncharged spheres A, B and C
time taken to cool it from 71 C to 69 C is of radius a are kept on the corners of an equilateral
(1) 12s (2) 22s triangle of side d (d >> a). A fourth sphere (radius a)
(3) 32s (4) 42s which has charge Q touches A and is then removed to a
22. A rectangular body has maximum wavelength m at position for away. B is earthed and then the earth
2000 K. Its corresponding wavelength at 3000 K will connection is removed. C is then earthed. The charge
be on C is
3 2 Qa 2d a Qa 2d a
m m
2d 2d 2d d
(1) (2) (1) (2)
2 3
16 81 Qa a d 2Qa d a
(3) m (4) m
2d d d 2d
81 16 (3) (4)
23. A particle moving with uniform acceleration has
29. A projectile P is projected at an angle of 30o with the
average velocities v1, v2 and v3 over the successive
horizontal. If a second projectile Q is projected such
intervals of 5s, 10s and 15s, respectively. Then, the
that their speeds are in ratio 1 : 3 for same maximum
v1 v 2
value of will be. height, then the angle of projection of Q is
v2 v3
3 1
5 (1) sin 1 (2) sin 1
(1)
3
(2) 1 1 6
3 2
(3)
3
(4)
1 (3) sin 1 (4) sin 1
5 2 2 3
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30. A series L-C-R circuit is connected across an AC 35. A position dependence force F = (7 – 2x + 3x2)N, acts
on a small body of mass 2 kg and displaces it from x =
source E 10sin 100t . Current from the supply
6 0 to x = 5 m, work done (in J) is
(1) 35 (2) 70
is I 2sin 100t , What is the average power
12 (3) 135 (4) 270
dissipated? Section - B (Physics)
(1) 5 2W (2) 2 2W 36. Following diagram performs logic function of
(3) 8W (4) 16 W
31. Two similar coils of radius r and number of turns N are
lying concentrically with their planes at right angle to
(1) AND gate (2) NAND gate
each other. The current flowing in them are 6I and (3) XOR gate (4) OR gate
3I respectively, then the magnetic field induction at 37. A block shown in figure slides on a semi-circular
centre of the coils is frictionless track. If it starts from rest at position A,
30 NI 0 NI what is its speed at the point B?
(1) (2)
4r 4r
30 NI 0 NI
(3) (4)
2r 2r
32. If the expression of electric field vector and magnetic
field vector of an electromagnetic wave are E = E 0 (1) 3 ms–1 (2) 3.5 ms–1
sin(kx - t) and B = B0 sin(kx - t), then (3) 3.76 ms–1 (4) 2.75 ms–1
(1) E0B0 k (2) E0k B0 38. Current I is flowing in a wire whose diameter is d and
the drift velocity in the wire is v. The same current is
(3) E0 B0k (4) E0 B0 flowing through another wire of diameter d/2. The drift
k
velocity of electrons in second wire is
33. In an ammeter, 0.4% of main current passes through
(1) v/4 (2) 4v
galvanometer. If resistance of galvanometer is R g, then
(3) v/2 (4) 2v
shunt resistance of ammeter will be
39. Let F be the force acting on a particle having position
Rg Rg
(1) (2) vector r and is the torque of this force about origin,
299 120
then
Rg Rg
(3) (4)
200 249 (1) .F = 0 and .r 0 (2) .F 0 and .r = 0
34. If the screw on a screw gauge is given 8 rotations, then (3) .F 0 and .r = 0 (4) .F = 0 and .r = 0
it moves by 4 mm on main scale. If there are 100 40. A pure inductor of 25 mH is connected to an AC source
divisions on the circular scale, then the least count of of 220 V and the frequency of the source is 50 Hz, the
the screw gauge is rms current in the circuit is
(1) 0.05 mm (2) 0.0005 mm (1) 42 A (2) 28 A
(3) 0.005 mm (4) 0.500 mm (3) 14 A (4) 7A
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41. The work functions of three metals A, B and C are 1.92 46. A wire of resistance R is stretched slowly by 10%. The
eV, 2 eV and 5 eV, respectively. Which metals will new resistance of the wire will be
emit photoelectrons for a radiation of wavelength (1) 1.3 R (2) 1.21 R
o
4100 A ? (3) Same (4) 1.1 R
(1) A only (2) B only 47. If the earth shrinks by 25% of its present radius and
(3) Both A and B (4) C only mass remaining the same, the value of acceleration due
42. The moment of inertia of a uniform rod about a to gravity increases by
perpendicular axis passing through one end is I 1. When (1) 50% (2) 75%
it is bent into a ring, the moment of inertia about a (3) 25% (4) 60%
I1 48. The typical I-V characteristic graph for photodiode is
diameter is I2. Then, the ratio of is
I2
42 22
(1) (2)
3 3
2 8 2
(3) (4) (1)
3 3
43. A nucleus with mass number 240 breaks into two
fragments of mass number 110 and 130 having binding
energy per nucleon 7.8 MeV and 8.0 MeV,
respectively. If binding energy per nucleon of (2)
unfragmented nuclei is 7.5 MeV, the energy released in
the process is
(1) 216 MeV (2) 153 MeV
(3) 124 MeV (4) 98 MeV
(3)
44. A block of mass M moving on the frictionless
horizontal surface collides with a spring of spring
constant k and compresses it by length L. The
maximum momentum of the block is
(4)
ML2 49. What are dimensions of E/B (E=electric field and B =
(1) zero (2)
k
magnetic field)?
kL2
(3) Mk.L (4) (1) [LT 1 ] (2) [LT 3 ]
2M
45. A stone of mass 2 kg is tied to a string of length 0.5 m. (3) [MLT 2 ] (4) [M 1L2T 1 ]
If the breaking tension of the string is 900 N, then the 50. Percentage error in the measurement of mass and speed
maximum angular velocity, the stone can have in are 2% and 3%, respectively. The error in the
uniform circular motion is estimation of kinetic energy obtained by measuring
mass and speed will be
(1) 40 rads1 (2) 10 rads1
(1) 15% (2) 8%
1 1
(3) 20 rads (4) 30 rads (3) 6% (4) 10%
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Section - A (Chemistry) 55. Elimination of bromine from 2-bromobutane in
presence of alc. (KOH) results in the formation of
51. Basic strength of CH C I ; CH 2 C H II and
(1) predominantly but-2-yne
CH 3 C H 2 III will be in order
(2) predominantly but-2-ene
(1) I < II < III (2) II < III < I (3) predominantly but-1-ene
(3) III < II < I (4) III < I < II
(4) equimolar mixture of but-1-ene and but-2-ene
52. The product Y is
56. What will be the product B in the following reaction?
(1) 1, 3-dichlorobenzene
(2) Benzyl chloride
(3) 1, 3, 5-trichlorobenzene
(1) (2)
(4) Mixture of 1, 2-dichlorobenzene and 1, 4-
dichlorobenzene
53. Dehydration of the alcohols will be in the order
(3) (4)
(1) IV > III > II > I (2) I > II > III > IV
(3) IV > II > III > I (4) II > IV > I > III The correct decreasing order of stability of compounds
54. Major product of the following reaction is (1) I > III > II > IV (2) IV > II > III > I
OH (3) III > II > IV > I (4) IV > I > III > II
Conc.H 2SO4
Product
58. Which of the following compounds is not aromatic?
H
N
+
3Cl 2
UV
500K
A (1) 2, 3-dimethylbutane (2) n-heptane
(3) n-butane (4) n-hexane
(1) cyclohexane 63. Given below are two statements.
(2) gammaxane Statement-I The acidic strength of mono-substituted
(3) cyclobenzene chloride nitrophenol is higher than phenol because of electron
(4) cyclohexane chloride withdrawing Nitro-group.
60. Which of the following statements are correct? Statement-II o-nitrophenol, m-nitrophenol and p-
I. Decarboxylation of isobutyric acid leads to nitrophenol will have same acidic strength as they have
propane. one nitro-group attached to the phenolic ring.
II. 1-pentene with HCl gives 3-chloropentane. In the light of the above statements, choose the most
III. Propyne and propene can be distinguished by
appropriate answer from the options given below :
AgNO3 in ammonia.
(1) Both Statement I and Statement II is false.
IV. Chloroethane on reacting with zinc and dil. HCl
give ethane. (2) Statement I is true but Statement II is false.
V. 2-butene shows geometrical isomerism due to (3) Statement I is false but Statement II is true.
restricted rotation about double bond.
(4) Both Statement I and Statement II are true.
Choose the correct answer from the options given
64. For given carbanions,
below.
(1) I, III, IV and V (2) II and V
(3) I and III (4) II, III and V
61. The major product obtained in the reaction is expected
to
FeBr3 /Br2
Stability order will be
(1) A>B>C>D
(2) D>B>C>A
(3) A>C>B>D
(1)
(4) D>C>B>A
65. The decreasing order of reactivity towards electrophilic
(3)
(1) I > III > IV > II (2) IV > I > III > II
(4) (3) IV > I > II > III (4) I > IV > III > II
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66. Consider the following reaction sequence 69. The IUPAC name for the following compound is
X
o
67. CH 3 CH CH 2
500 C
Cl
(2) SO3H, COOH, CONH 2 , CHO
2
The product (X) in the given reaction is (3) CHO, COOH, SO3H, CONH 2
Cl
| (4) CONH2 CHO SO3H, COOH
(1)
CH 3 CH CH 2Cl
71. Among the following compounds, geometrical
CH 2 CH CH 2 isomerism is exhibited by
(2) |
Cl CH2
CHCl
CH 3 CH CH
(3) |
Cl
CH 3 CH CH 2 (1) Cl (2) CH3
(4) |
Cl
CHCl CHCl
68. Indicate the wrongly named compound
85. The solubility product of a salt having general formula D. XeF4 iv. 3
MX2 in water is 32 10–15. The concentration of M2+ Choose the correct answer from the options given
ions in the aqueous solution of the salt is below.
(1) 2 10–5 M A B C D A B C D
(1) iv ii I iii (2) i ii iii iv
(2) 16 10–15 M
(3) ii i iv iii (4) iii iv ii i
(3) 8 10–15 M
90. In perchloric acid (HCIO4), the number of and -
(4) 0.8 10–6 M
bonds are
Section - B (Chemistry) (1) 5 and 4-bonds (2) 6 and 3-bonds
86. Minimum amount of work required to compress 5.00 (3) 5 and 3-bonds (4) 5 and 2-bonds
moles of an ideal gas isothermally at 27 C from 200 L 91. The transition metal ion that has ‘spin only’ magnetic
to 40 L is [Given : log 0.2 = –0.7] moment value of 5.92 BM is
(1) + 20.1 kJ (2) – 20.1 kJ (1) Mn2+ (2) Fe2+
87. Which of the following compound has colour due to 92. Which of the following compounds is square planar and
does not have any unpaired electron?
d–d transition,
(1) [Ni(CO)4] (2) [Ni(H2O)6]2+
(1) KMnO4 (2) K2Cr2O7
(3) [NiCl4]2– (4) [Ni(CN)4]2–
(3) CuSO4.5H2O (4) K2CrO4
93. Which of the following complex ion is not expected to
88. Although +3 is the characteristic oxidation state for
absorb visible light?
lanthanide yet cerium also shows +4 oxidation state
(1) [NiCl4]–2 (2) [Ni(CN)4]–2
because
(3) [Cr(NH3)6]+3 (4) [FeF6]–3
(1) it has tendency to attain noble gas configuration.
94. Which of the following order of electron gain enthalpy
(2) it has variable ionization enthalpy. is correct?
(3) it resembles Pb4+. (1) F < Cl < Br < I (2) F < Cl > Br > I
(4) it has tendency to attain f 7 configuration. (3) I > Br > F < Cl (4) I < Cl < Br > F
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95. Predict the effect of increased pressure on the following Section - A (Biology-I)
reaction equilibrium. 101. Which of the following is not an example of
N 2 g 3H 2 g 2NH3 g
gymnosperms?
(1) Pinus (2) Cyas
(1) Equilibrium will shift to left side. (3) Cedrus (4) Wolffia
(2) Equilibrium will shift to right side. 102. The dominance of gametophyte is observed in
(3) No effect on equilibrium, (1) bryophytes (2) pteridophytes
(4) Reaction will stop. (3) angiosperms (4) gymnosperms
103. Of the five names given below, identify the diploid
96. Relative stability of +1 oxidation state of group 13
cells.
elements may be given as
I. Nucelleus II. Egg cell
(1) Al+ > B+ > Ga+ > Tl+ > In+
III. Male gamete IV. Endosperm
(2) Tl+ > In+ > Ga+ > Al+ > B+ V. Polar nuclei
(3) B+ > Al+ > Ga+ > In+ > Tl+ Choose the correct option.
+ + + + + (1) III and V (2) IV and V
(4) Al > Ga > Tl > In > B
97. In a compound C, H and N atoms are present in 9 : 1 : (3) I and V (4) All of these
3.5 by weight. Molecular weight of compound is 108. 104. Which of the following cell organelle principally
performs the function of packaging materials, to be
Molecular formula of compound is
delivered either to the intra–cellular targets or secreted
(1) C2H6N2 (2) C3H4N outside the cell?
(3) C6H8N2 (4) C9H12N3 (1) Endoplasmic reticulum
98. 0.4 Moles of HCl and 0.2 moles of CaCl2 were (2) Golgi apparatus
dissolved in water to have 500 mL of solution, the (3) Lysosomes
–
molarity of Cl ion is : (4) Vacuoles
105. Which of the following fungi belongs to Ascomycetes?
(1) 0.8 M (2) 1.6 M
(1) Aspergillus (2) Alternaria
(3) 1.2 M (4) 10.0 M
(3) Ustilago (4) Puccinia
99. Which of the following liquid pairs shows a positive
106. Match List–I with List–II.
deviation from Raoult’s law?
List–I List–II
(1) Water – Nitric acid A. Commensalism 1. +, +
(2) Benzene – Methanol B. Parasitism 2. +, 0
(3) Water – Hydrochloric acid C. Mutualism 3. +, –
(4) Acetone – Chloroform D. Predation 4. +, –
100. Which of the following represent all meta directing Choose the correct answer from the options given
below.
groups.
A B C D
(1) – NO2, – SO3H, – COOH, – CHO, – OH
(1) 3 2 1 4
(2) – CH3, – OH, – OCH3, – Ph
(2) 4 3 1 2
(3) –NO2, – COOH, – CHO, – COR (3) 1 2 3 4
(4) – NH2, – COR, – CONH2, – SO3H (4) 2 3 1 4
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107. Name the antibody produced in response to the 112. Which of the following is an example of flagellated
allergens. protozoans?
(1) IgM (2) IgE (1) Paramecium (2) Trypanosoma
(3) IgG (4) IgA
(3) Plasmodium (4) Entamoeba
108. The maximum transportation of oxygen in the blood
113. In which of the following species, male and female
occurs
(1) in dissolved form (2) as bicarbonate gametophytes do not have an independent free living
(4) Thorn of Bougainvillea and tendrils of Cucurbita. the disease if any one of the parent is a carrier of the
faulty cystic fibrosis gene?
120. Mycelium is found to be coenocytic or aseptate in
(1) 100% (2) 50%
which of the given classes of fungi?
(3) 25% (4) 0%
(1) Phycomycetes
124. In lac operon, the genes a, i, y and z code respectively
(2) Ascomycetes
for
(3) Basidiomycetes
(1) permease, transacetylase, repressor protein, -
(4) Deuteromycetes
galactosidase.
121. Gametophyte is dominant, photosynthetic, sexually
(2) transacetylase, repressor protein, permease, -
reproducing and independent in galactosidase.
(1) Bryophyta (3) repressor protein, permease, -galactosidase,
(2) Pteridophyta transacetylase.
(3) Gymnosperm (4) transacetylase, permease, -galactosidase,
(4) Angiosperm repressor protein.
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125. Which of the following pair of plants prevent both 131. The common characteristics between tomato and potato
autogamy and geitonogamy? will be maximum at the level of their
(1) Papaya and date palm (1) Genus (2) Family
(2) Castor and maize (3) Order (4) Divison
(3) Papaya and maize 132. Identify the correct sequence of taxonomic categories.
(4) Date palm and castor (1) Species Genus Order Class Family
126. Which of the following organisms has been
Phylum/Division Kingdom
commercially utilized as blood cholesterol lowering
(2) Species Genus Family Class
agent?
Phylum/Division Order Kingdom
(1) Clostridium butylicum
(3) Species Genus Family Order Class
(2) Saccharomyces cerevisiae
Phylum/Division Kingdom
(3) Monascus purpureus
(4) Pseduomonas putida (4) Species Genus Family Order Class
(1) They have free RNA without protein coat 145. Which of the following statement(s) is/are correct
(2) They have DNA with protein coat regarding phylum aschelminthes?
(3) They have free DNA without protein coat (i) The body is circular in cross-section hence the
name roundworms.
(4) They have RNA with protein coat
140. The primitive prokaryotes responsible for the (ii) Alimentary canal is complete with a well-
animals, include the (iii) Sexes are separate (dioecious), i.e., males and
(3) Methanogens (1) (i) and (ii) (2) (iii) and (iv)
(4) Eubacteria (3) (i), (ii) and (iii) (4) All of these
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146. Which of the following statements is/are not true? 150. Match the column-I with column-II and choose the
(1) The bacteria could not longer swim (1) Skin is moist without scales
(2) Bacteria would not adhere to the host tissue (2) Cloaca is present
(3) Transportation of molecules across the membrane (3) Dioecious, external fertilization, oviparous,
would stop indirect development
(4) The shape of bacteria would change (4) Amniotic egg is present
153. A gene locus has two alleles A and a. If the frequency 157. The correct matching is–
of dominant allele A is 0.7, then what will be the
Column I Column II
frequency of homozygous dominant, heterozygous,
A. Testudo I. Tortoise
homozygous, recessive individuals in the population?
B. Calotes II. Garden lizard
(1) 0.49 (AA); 0.21 (Aa); 0.09 (aa)
C. Alligator III. Wall lizard
(2) 0.49 (AA); 0.42 (Aa); 0.09 (aa)
D. Hemidactylus IV. Alligator
(3) 0.36 (AA); 0.48 (Aa); 0.16 (aa)
(1) A–I, B–II, C–III, D–IV
(4) 0.16 (AA); 0.36 (Aa); 0.48 (aa)
154. The disease causing chronic inflammation of the lower (2) A–I, B –II, C–IV, D–III
limbs and resulting in gross deformities is caused by (3) A–II, B–I, C–III, D–IV
162. The members of following phylum are exclusively 168. In Molluscs mouth contains a file like rasping organ for
You would like to place the animal under– 177. Which of the following protist releases toxins that may
even kill fishes and other marine animal?
(1) Tetrapoda (2) Arthropoda
(1) Gonyaulax (2) Euglena
(3) Annelida (4) Hemichordata
(3) Paramecium (4) Plasmodium
172. Which one is the largest phylum of animalia?
178. Statement I : In diatoms, the walls are embedded with
(1) Annelida (2) Arthropoda silica and thus, the walls are indestructible.
(3) Chordata (4) Mollusca Statement II : Diatoms have left behind large amount
173. Which one of the following statements is wrong? of cell wall deposits in their habitat, this accumulation
(1) Cyanobacteria are also called blue-green algae over billions of years is referred to as diatomaceous
deposition or diatomaceous earth.
(2) Golden algae are also called desmids
(1) Both statement I and statement Ii are incorrect
(3) Eubacteria are also called false bacteria
(2) Statement I is correct but statement II is incorrect
(4) Phycomycetes are also called algal fungi
(3) Statement I is incorrect but statement II is correct
174. Analyze the given statements. (4) Both statement I and statement II are correct
A. Kingdom-Protista forms a link between monerans 179. The given statements are some characters of a
and the other organisms like plants, animal and particular group of Kingdom Protista.
fungi. (i) Most of them are fresh water organisms found in
B. Protists reproduce asexually and sexually by a standing water.
process involving cell fusion and zygote (ii) They have a protein rich layer (called pellicle)