Exam Details
Subject | imsc in sciences | |
Paper | ||
Exam / Course | ima/imsc | |
Department | ||
Organization | central university | |
Position | ||
Exam Date | 2017 | |
City, State | telangana, hyderabad |
Question Paper
1. Which one of the following is a hermaphrodite
Cockroach
Leech
Hydra
Sea urchin
2. The birds show one of the following
Viviparity
Ovoviviparity
Oviparity
Ovovivipary
3. Transfer ofpollen grains from the anther to the stigma of a different plant
Geitonogamy
Autogamy
Anemophily
Xenogamy
4. The portion of the embryonal axis above the level of cotyledons is
Epicotyl
Hypocotyl
Scutellum
Coleorlllza
5. Klinefelter Syndrome is characterized by
The presence of an additional copy of I3-chromosome
The absence of one of the X-chromosome
The presence of an additional copy of 21-chromosome
The presence of an additional copy of X-chromosome XXV
6. Which one of the following is transcriptionally active
Euchromatin
Heterochromatin
Histone
Sugar Phosphate
7. The amino acids are coded by
57 codons
61 codons
33 codons
31 codons
8. The wings of butterfly and of birds look alike performing similar functions. This is an example of
Divergent Evolution
Convergent Evolution
Determinism and Adaptive Radiation
Anthropogenic Evolution
9. The enzyme responsible for initiating DNA replication in prokaryotes is
DNA polymerase
DNA ligase
Beta-galactosidase
Restriction endonuclease
10. Cross breeding is
Breeding between animals of same breed
Breeding between superior males of one breed with superior females of other breed
Breeding between animals of different breed
Breeding between inferior males of one breed with inferior females of other breed
11. The following is used in production of biogas
Lactobacillus
Methanobacterium
Saccharomyces
Propionibacterium
12. The lichens are example of
Parasitism
Commensalism
Amensalism
Mutualism
13. Following is a Moss
Selanginella
Sphagnum
Chlamydomonas
Cycas
14. Chordates are characterized by
Presence of ventral heart
Absence of Post-anal tail
Absence of Gill slits
Presence of ventra1ccntral nervous system
15. Coelom is absent in
Echinodermata
Annelida
Platyhelminths
Mollusca
16. Following is a modification of leaf in Peas
Petiole
Tendril
Cymose
Corolla
17. The placentation in tomato is
Marginal
Axile
Basal
Parietal
18. The bark of a tree comprises of
All the tissues outside the cork cambium
All the tissues outside the vascular cambium
Only cork
Just inside cork cambium
19. Annual rings arc distinct in plants growing in
Temperate regions
Tropical regions
Grasslands
Arctic regions
20. Collagen is a
lipid
carbohydrate
fibrous protein
globular protein
21. In cockroach, excretion is performed by
Renette cells
Flame cells
Nephridia
Malpighian tubules
22. Identify the nonmembranous organelle from following
Ribosome
Endoplasmic reticulum
Nucleus
Chloroplast
23. Smooth endoplasmic reticulum is the site of
Protein synthesis
Carbohydrate synthesis
Aminoacid synthesis
Lipid synthesis
24. Microtubules are involved in
Cell division
DNA recognition
Muscle contraction
Membrane contraction
25. Which stage is linked to DNA replication
S-phase
Gl Phase
G2 Phase
Metaphase
26. Which of the following shows anisotropy?
Naphthalene
Polyurathane
Cellophane
Teflon
27. The relation between oxygen and ozone is
Isomers
Allotropes and oxygen is a weaker oxidizing agent than ozone
Allotropes with different oxidation state
Isomorphous
28. The bonding or attractive forces which lead to solidify CCG
Dispersion or London forces
Hydrogen bonding
Coulombic or electrostatic interactions
Dipole-dipole interactions
29. The correct statement about hexagonal and rhombohedral crystals is
Both have all three sides of same lengtth
Both have all angles same
Hexagonal has all sides of equal length, whereas rhombohedral has one side different in length than the other two.
Hexagonal has one side different in length than the other two, whereas rhombohedral has all sides of equal length.
30. The acid concentration found in a commercial soft drink is 4.5 x 10,5 M. The pH of the drink is
4.3
5.3
4.5
5
31. Molarity of pure water is approximately
100
18
1
56
32. The attribute not related to colligative properties is
Lowering of vapour pressure
Depression in freezing point
Lowering of density
Elevation of boiling point
33. If at a constant temperature, two solutions A and B are separated by a semipermeable membrane and still there is no osmosis occurs between them than
Both solutions are hypertonic
Both solutions are hypotonic
A is hypertonic solution and B is hypotonic solution
Both arc isotonic solutions
34. The radioactive decay of U235 is a reaction of which order
0
1
2
1/2
35. To a galvanic cell having electrodes of zinc and copper dipping in the solutions of their respective salts having concentration of 1 mol each and has an electrical potential equal to 1.1 V electrolytic cell, if an external opposing potential of 1.1 V is applied then
No reaction occurs
Zn dissolves at Zn-electrode and Cu deposits at Cu-electrode
Zn deposits at Zn-electrode and Cu dissolves at Cu-electrode
Zn deposits at Zn-eJectrode and Cu deposits at Cu-electrode
36. For a general reaction aA bB cC dD, the rate of the reaction
a-b
a+b
Can only be detern1ined experimentally
c+d
37. The incorrect statement regarding colloidal particles is
Colloidal particles display Tindall effect.
Colloidal particles display a highly ordered movement when viewed under a powerful ultramicroscope.
The colour of colloidal solution depends on the wavelength of light scattered by the dispersed particles.
Colloidal particles always carry an electric charge.
38. The incorrect statement about cryolite is
Its formula is Na3AlF6.
It is used in the metallurgy of aluminium from bauxite.
Molten cryolite reduces the melting point of Al203 upon mixing.
Molten Al203 reduces the melting point of cryolite upon mixing.
39. Among the following molecules, the one possessing linear structure is
N02
N20
H20
H202
40. The maximum oxidation state that can be displayed by 3d-transition elements is
41. Both Cr2+ and Mn3+ have d4 configuration. Which of the following statement(s) is/are true?
Both are oxidizing agents
Both are reducing agents
Cr2 is oxidizing and Mn3+ reducing agents
Cr2 is reducing and Mn3+ oxidizing agents
42. In the electromagnetic spectrum, the one with highest energy among the following is
Visible light
Ultraviolet light
Gamma-rays
Radiowave
43. In qualitative analysis, Nessler's reagent is used for the confirmation of which ion?
Mg2+
Na+
NH4+
44. CaC2 upon reaction with water produces Ca(OHh and
Methane
Ethane
Ethylene
Acetylene
45. In the Friedel-Crafts acylation reaction, the electrophile is
C6H5+
C6H5CH2+
CH3CO+
AlC4+
46. Benzenediazonium salt can be directly prepared from
Aniline
Phenol
Chlorobenzene
Nitrobenzene
47. The IUPAC name of the following compound is
<img src='./qimages/15976-47.jpg'>
2-Nitro-3,3-dimethyl-4-chloropentane
2-Chloro-3,3-dimcthyl-4-nitropentane
2-Chloro-3,3'-dimethyl-4-nitropentane
2-Nitro-3.3'-dimethyl-4-chloropentane
48. The reaction
<img src='./qimages/15976-48.jpg'>
is known as
Cataly1ic reduction
Clemmensen reduction
Wolff-Kishner reduction
Rosenmund reduction
49. In PCIs, the hybridization of phosphorous is
sp^3d
dsp^2
sp^3
sp^3d^2
50. In presence of catalytic acid or base, bakelite is produced during the reaction of phenol with
Acetone
Formaldehyde
Acetaldehyde
Benzaldehyde
51. The points and are equidistant from
52. The perpendicular line from origin to a plane meets the plane at 2). The equation of the plane is
x y Z=9
3x 4y 2z 29
2x y z=0
x y z 5
53. If a circle passes through and has x 2 and 2x 3y 14 as diameters. the radius of the circle is
2
3
4
5
54. (tan -sin is
2
1/2
55. Let y =10e^x -2. Then is
0
Y
56. Let y sqrtx+ sqrtx+sqrtx+ Then (2y is
O
1
None of the above
57. is
5
6i)/13
58. (Modulus, principal argument) of(1 is
(sqrt2,
(sqrt2,
59. Coefficient of x^2y^3z^4 in(xy yz is
40
50
60
None of the above
60. The coefficient of seventh term in the expansion of is
11
11 C 7
11 C 8
11 C 6
61. Let log for every a with 0 a 1. a^2 is
None of the above.
62. Which of the following is divisible by 9 for all n EN?
0^n 1
3^n 3n
4^n 3n 1
10^n 1
63. For every n E is always divisible by
4
6
8
12
64. Let M2 be the set of all x matrices with real numbers. Det: M2 defined as Det determinant of A is
one-one
onto
bijective
None of the above
65. Let 2A B
4 3 5
1 2 0
0 1 and A +3B
2 5 7
3 1 0
0 9 11
Then trace of is
l
2
4
0
66. Let band c be unit vectors, no two of them collinear. Suppose ax(b xc) b . Then angle between a and b is
n/2
n/4
n/6
n/3
67. Let E E2 and E3 be three mutually exclusive events with Pi for all i 3. Suppose Pi P2 and P3 Then p can be
1
None of the above
68. A and B are two sets with 5 and 6. The no. of one-one functions from A to B is
25
120
360
720
69. The three vertices of a triangle are 43) and where a and b are roots of the equation 5x^2 3x 20 0. The area of the triangle is
2521
2621
2721
None of the above
70. The point goes through the transformations below in the following order: First, it gets reflected with respect to X axis, then it gets translated in the positive direction of Y axis by 4 units and then is ref1ected with respect to the line x y . The final position of the point is
71. A function f is defined on 3]. The function has domain
None of the above
72. Let S be the set of all x matrices with 0 and 1 as entries. The probability of a matrix in S being nonsingular is
3/16
1/4
3/8
None of the above
73. f and g are two functions defined on R . Suppose Lim exists. Then
Lim exists
Lim exists
Both Lim and Lim exist
None of the above
74. For c E the points b c and(c, a are
vertices of an equilateral triangle
vertices of a right angled triangle
collinear
None of the above
75. Suppose
1 x
tan(0) 1 1
a
b a then
a b 1
a cos b 2sin
a sin h 2cos
None of the above.
76. If two vectors a and B are oriented to each other such that what is the angle between them.
0°
45°
90°
180°
77. Two discs of equal radius r and equal volumes are made with materials of different densities P1 and P2, the moment of inertias I1 and I2 about the axis passing though the center and perpendicular to the plane of the disk, are related as
I1 I2
I1 p1p2I2
I1 I2p1/p2
I1 I2p2/P1
78. A meteorite experiences a drag force as it enters the atmosphere given by D where v is the instantaneous velocity and K is a constant which depends on its shape. The terminal velocity Vf of the meteorite is given by
79. A particle moving along the x-axis such that its position (from the origin) x meters at an instant of time t sec. is given by x 7.9 17t The most appropriate statement about the motion of this particle is
Uniform
Uniformly accelerating
Deaccelerating
Uniformly deaccelerating
80. A body of mass 5 kg is moving along positive x-axis under the action of uniform force of 25 N acting along the positive direction. Its velocity at a distance 20 m from the origin is 10 m/s. Its velocity at point 50 m from the origin and time taken to reach this point are
20 2s
-20 2s
10 2s
10 2s
81. A stone is thrown with an initial velocity 5 m/s such that it covers maximum possible horizontal distance RM meters on the surface of the moon. The same stone is thrown with same initial velocity by a person standing on the earth, making an angle of 15° with the horizontal surface. Given that ,Ax 9,8 and Am= 1.6 the horizontal distance it covers on earth surface is
9.8 RM meters
9.8/RM meters
RM/9.8 meters
RM/4.9 meters
82. A body of mass in kg is constrained to move along a circle of radius m. At a given instant, its speed is km/S and the speed is increasing at the rate of a m/s^2.The angle between particle's velocity and acceleration is
0°
30°
45°
90°
83. The potential on the surface of a solid conducting sphere of radius r 20 cm is 100 V and the potential at r 10 cm is
100 V
50 V
25 V
zero
84. A particle of charge q1 is placed at a and another of charge q2 is placed at x=-2a. For the net force on a third charged particle at placed at the origin to be zero, q2 must equal to
2q1
4q1
-2q1
-4q1
85. Charge Q is distributed uniformly throughout an insulating solid sphere of radius R. The magnitude of the electric field at a point 2R/3 from the center is
Q/6nEOR2
Q/8nEOR2
Q/72nEO/R2
llQ/18nEOR2
86. A given semiconductor Si is to be doped with the following element to make it n-type semiconductor
Al
Ge
P
S
87. An electron is launched with velocity r in a uniform magnetic field B . The angle 8 between v and B is in the range of 0° and 90°. As a result, the electron follows a helical path, its velocity vector r returning to its initial value in a time interval of
(2nID tan8)/eB
(2nD cot8)/eB
(2nD sin
(2nm cos
88. The magnitude of the magnetic field at point at the center of the semicircle shown, is given by
<img src='./qimages/15976-88.jpg'>
lloi/2R
89. Air is pumped into a soap bubble of radius r to triple its radius. If the surface tension of the soap solution is then the work done in the process is
l2'rrr:.l.S
16nr:.l.S
BnTzS
90. The change in volume of an indiarubber cord when stretched within the elastic limit, the change in volume is almost negligible compared with the change in shape, then the Poisson's ratio is
0
0.25
0.5
1
91. The units of Planck's constant h are same as those of
energy
Power
momentum
angular momentum
92. Possible values of the principal quantum number for an electron in atom are only
0 and 1
...x;
93. An ideal gas system from an initial state of pressure Po, volume Vo and temperature To is taken through an isochoric process till its pressure become three times the original pressure and subscquent1y, expanded isothermally till the pressure is Po again. The volume at the end of the isothermal process is
<img src='./qimages/15976-93.jpg'>
1/2 vo
vo
2vo
3 vo
94. An ice piece of mass lOO g at temperature 0°C is added to 200 g of water at How much ice will remain in the water, immediately after the temperature of the water reaches 0 The specific heat capacity of water is 4200 J and specific latent heat of fusion of ice is assumed to be 2.1 x l0^5 J
100g
50g
25g
0g 19
95. A solid at temperature T1 is kept in an evacuated chamber at temperature T2 >T1. The rate of increase of temperature Of the body is proportional to
T2-T1
T2^2-T1^2
T2^3-T1^3
T2^4-T1^4
96. A convex shaped contact lens is made of plastic whose refractive index is 1.50. The lens has an outer radius of curvature of 1.50 cm and inner radius curvature of 2.25 cm. The focal length of the lens is
1.80 cm
4.50 cm
9.00 cm
9.50 cm
97. An organ pipe with both ends open is 1.5 m long. Assuming that the speed of sound is 340 the frequency of the third harmonic of this pipe is
170 Hz
340 Hz
680 Hz
900 Hz
98. While standing at a cross walk, you hear a sound with frequency of 560 Hz from an approaching police car. After the police car passes and is moving away from you, you hear the sound with a frequency of 480 Hz.If the velocity of sound is V then the speed of the police car is
2V/13 m/s
V/13 m/s
V/26m/s
V/39 m/s
99. A detector placed at 5 m from a candle in a large, otherwise dark room receives a power of about 2 x W. The power of light received by the detector when placed at a distance of lOrn from candle is
2.0 X10^-9W
2.0 X10^-8W
5.0x 10^-8W
8.0 X10^8W
100. Unpolarized light emitting from a laser source has energy of 12 watts. This laser beam is passed through the pair of polarizer analyzer, which are kept at a relative angle of 45°. The output energy of the light after it emerges from the analyzer is
3 watts
4 watts
6 watts
9 watts
Cockroach
Leech
Hydra
Sea urchin
2. The birds show one of the following
Viviparity
Ovoviviparity
Oviparity
Ovovivipary
3. Transfer ofpollen grains from the anther to the stigma of a different plant
Geitonogamy
Autogamy
Anemophily
Xenogamy
4. The portion of the embryonal axis above the level of cotyledons is
Epicotyl
Hypocotyl
Scutellum
Coleorlllza
5. Klinefelter Syndrome is characterized by
The presence of an additional copy of I3-chromosome
The absence of one of the X-chromosome
The presence of an additional copy of 21-chromosome
The presence of an additional copy of X-chromosome XXV
6. Which one of the following is transcriptionally active
Euchromatin
Heterochromatin
Histone
Sugar Phosphate
7. The amino acids are coded by
57 codons
61 codons
33 codons
31 codons
8. The wings of butterfly and of birds look alike performing similar functions. This is an example of
Divergent Evolution
Convergent Evolution
Determinism and Adaptive Radiation
Anthropogenic Evolution
9. The enzyme responsible for initiating DNA replication in prokaryotes is
DNA polymerase
DNA ligase
Beta-galactosidase
Restriction endonuclease
10. Cross breeding is
Breeding between animals of same breed
Breeding between superior males of one breed with superior females of other breed
Breeding between animals of different breed
Breeding between inferior males of one breed with inferior females of other breed
11. The following is used in production of biogas
Lactobacillus
Methanobacterium
Saccharomyces
Propionibacterium
12. The lichens are example of
Parasitism
Commensalism
Amensalism
Mutualism
13. Following is a Moss
Selanginella
Sphagnum
Chlamydomonas
Cycas
14. Chordates are characterized by
Presence of ventral heart
Absence of Post-anal tail
Absence of Gill slits
Presence of ventra1ccntral nervous system
15. Coelom is absent in
Echinodermata
Annelida
Platyhelminths
Mollusca
16. Following is a modification of leaf in Peas
Petiole
Tendril
Cymose
Corolla
17. The placentation in tomato is
Marginal
Axile
Basal
Parietal
18. The bark of a tree comprises of
All the tissues outside the cork cambium
All the tissues outside the vascular cambium
Only cork
Just inside cork cambium
19. Annual rings arc distinct in plants growing in
Temperate regions
Tropical regions
Grasslands
Arctic regions
20. Collagen is a
lipid
carbohydrate
fibrous protein
globular protein
21. In cockroach, excretion is performed by
Renette cells
Flame cells
Nephridia
Malpighian tubules
22. Identify the nonmembranous organelle from following
Ribosome
Endoplasmic reticulum
Nucleus
Chloroplast
23. Smooth endoplasmic reticulum is the site of
Protein synthesis
Carbohydrate synthesis
Aminoacid synthesis
Lipid synthesis
24. Microtubules are involved in
Cell division
DNA recognition
Muscle contraction
Membrane contraction
25. Which stage is linked to DNA replication
S-phase
Gl Phase
G2 Phase
Metaphase
26. Which of the following shows anisotropy?
Naphthalene
Polyurathane
Cellophane
Teflon
27. The relation between oxygen and ozone is
Isomers
Allotropes and oxygen is a weaker oxidizing agent than ozone
Allotropes with different oxidation state
Isomorphous
28. The bonding or attractive forces which lead to solidify CCG
Dispersion or London forces
Hydrogen bonding
Coulombic or electrostatic interactions
Dipole-dipole interactions
29. The correct statement about hexagonal and rhombohedral crystals is
Both have all three sides of same lengtth
Both have all angles same
Hexagonal has all sides of equal length, whereas rhombohedral has one side different in length than the other two.
Hexagonal has one side different in length than the other two, whereas rhombohedral has all sides of equal length.
30. The acid concentration found in a commercial soft drink is 4.5 x 10,5 M. The pH of the drink is
4.3
5.3
4.5
5
31. Molarity of pure water is approximately
100
18
1
56
32. The attribute not related to colligative properties is
Lowering of vapour pressure
Depression in freezing point
Lowering of density
Elevation of boiling point
33. If at a constant temperature, two solutions A and B are separated by a semipermeable membrane and still there is no osmosis occurs between them than
Both solutions are hypertonic
Both solutions are hypotonic
A is hypertonic solution and B is hypotonic solution
Both arc isotonic solutions
34. The radioactive decay of U235 is a reaction of which order
0
1
2
1/2
35. To a galvanic cell having electrodes of zinc and copper dipping in the solutions of their respective salts having concentration of 1 mol each and has an electrical potential equal to 1.1 V electrolytic cell, if an external opposing potential of 1.1 V is applied then
No reaction occurs
Zn dissolves at Zn-electrode and Cu deposits at Cu-electrode
Zn deposits at Zn-electrode and Cu dissolves at Cu-electrode
Zn deposits at Zn-eJectrode and Cu deposits at Cu-electrode
36. For a general reaction aA bB cC dD, the rate of the reaction
a-b
a+b
Can only be detern1ined experimentally
c+d
37. The incorrect statement regarding colloidal particles is
Colloidal particles display Tindall effect.
Colloidal particles display a highly ordered movement when viewed under a powerful ultramicroscope.
The colour of colloidal solution depends on the wavelength of light scattered by the dispersed particles.
Colloidal particles always carry an electric charge.
38. The incorrect statement about cryolite is
Its formula is Na3AlF6.
It is used in the metallurgy of aluminium from bauxite.
Molten cryolite reduces the melting point of Al203 upon mixing.
Molten Al203 reduces the melting point of cryolite upon mixing.
39. Among the following molecules, the one possessing linear structure is
N02
N20
H20
H202
40. The maximum oxidation state that can be displayed by 3d-transition elements is
41. Both Cr2+ and Mn3+ have d4 configuration. Which of the following statement(s) is/are true?
Both are oxidizing agents
Both are reducing agents
Cr2 is oxidizing and Mn3+ reducing agents
Cr2 is reducing and Mn3+ oxidizing agents
42. In the electromagnetic spectrum, the one with highest energy among the following is
Visible light
Ultraviolet light
Gamma-rays
Radiowave
43. In qualitative analysis, Nessler's reagent is used for the confirmation of which ion?
Mg2+
Na+
NH4+
44. CaC2 upon reaction with water produces Ca(OHh and
Methane
Ethane
Ethylene
Acetylene
45. In the Friedel-Crafts acylation reaction, the electrophile is
C6H5+
C6H5CH2+
CH3CO+
AlC4+
46. Benzenediazonium salt can be directly prepared from
Aniline
Phenol
Chlorobenzene
Nitrobenzene
47. The IUPAC name of the following compound is
<img src='./qimages/15976-47.jpg'>
2-Nitro-3,3-dimethyl-4-chloropentane
2-Chloro-3,3-dimcthyl-4-nitropentane
2-Chloro-3,3'-dimethyl-4-nitropentane
2-Nitro-3.3'-dimethyl-4-chloropentane
48. The reaction
<img src='./qimages/15976-48.jpg'>
is known as
Cataly1ic reduction
Clemmensen reduction
Wolff-Kishner reduction
Rosenmund reduction
49. In PCIs, the hybridization of phosphorous is
sp^3d
dsp^2
sp^3
sp^3d^2
50. In presence of catalytic acid or base, bakelite is produced during the reaction of phenol with
Acetone
Formaldehyde
Acetaldehyde
Benzaldehyde
51. The points and are equidistant from
52. The perpendicular line from origin to a plane meets the plane at 2). The equation of the plane is
x y Z=9
3x 4y 2z 29
2x y z=0
x y z 5
53. If a circle passes through and has x 2 and 2x 3y 14 as diameters. the radius of the circle is
2
3
4
5
54. (tan -sin is
2
1/2
55. Let y =10e^x -2. Then is
0
Y
56. Let y sqrtx+ sqrtx+sqrtx+ Then (2y is
O
1
None of the above
57. is
5
6i)/13
58. (Modulus, principal argument) of(1 is
(sqrt2,
(sqrt2,
59. Coefficient of x^2y^3z^4 in(xy yz is
40
50
60
None of the above
60. The coefficient of seventh term in the expansion of is
11
11 C 7
11 C 8
11 C 6
61. Let log for every a with 0 a 1. a^2 is
None of the above.
62. Which of the following is divisible by 9 for all n EN?
0^n 1
3^n 3n
4^n 3n 1
10^n 1
63. For every n E is always divisible by
4
6
8
12
64. Let M2 be the set of all x matrices with real numbers. Det: M2 defined as Det determinant of A is
one-one
onto
bijective
None of the above
65. Let 2A B
4 3 5
1 2 0
0 1 and A +3B
2 5 7
3 1 0
0 9 11
Then trace of is
l
2
4
0
66. Let band c be unit vectors, no two of them collinear. Suppose ax(b xc) b . Then angle between a and b is
n/2
n/4
n/6
n/3
67. Let E E2 and E3 be three mutually exclusive events with Pi for all i 3. Suppose Pi P2 and P3 Then p can be
1
None of the above
68. A and B are two sets with 5 and 6. The no. of one-one functions from A to B is
25
120
360
720
69. The three vertices of a triangle are 43) and where a and b are roots of the equation 5x^2 3x 20 0. The area of the triangle is
2521
2621
2721
None of the above
70. The point goes through the transformations below in the following order: First, it gets reflected with respect to X axis, then it gets translated in the positive direction of Y axis by 4 units and then is ref1ected with respect to the line x y . The final position of the point is
71. A function f is defined on 3]. The function has domain
None of the above
72. Let S be the set of all x matrices with 0 and 1 as entries. The probability of a matrix in S being nonsingular is
3/16
1/4
3/8
None of the above
73. f and g are two functions defined on R . Suppose Lim exists. Then
Lim exists
Lim exists
Both Lim and Lim exist
None of the above
74. For c E the points b c and(c, a are
vertices of an equilateral triangle
vertices of a right angled triangle
collinear
None of the above
75. Suppose
1 x
tan(0) 1 1
a
b a then
a b 1
a cos b 2sin
a sin h 2cos
None of the above.
76. If two vectors a and B are oriented to each other such that what is the angle between them.
0°
45°
90°
180°
77. Two discs of equal radius r and equal volumes are made with materials of different densities P1 and P2, the moment of inertias I1 and I2 about the axis passing though the center and perpendicular to the plane of the disk, are related as
I1 I2
I1 p1p2I2
I1 I2p1/p2
I1 I2p2/P1
78. A meteorite experiences a drag force as it enters the atmosphere given by D where v is the instantaneous velocity and K is a constant which depends on its shape. The terminal velocity Vf of the meteorite is given by
79. A particle moving along the x-axis such that its position (from the origin) x meters at an instant of time t sec. is given by x 7.9 17t The most appropriate statement about the motion of this particle is
Uniform
Uniformly accelerating
Deaccelerating
Uniformly deaccelerating
80. A body of mass 5 kg is moving along positive x-axis under the action of uniform force of 25 N acting along the positive direction. Its velocity at a distance 20 m from the origin is 10 m/s. Its velocity at point 50 m from the origin and time taken to reach this point are
20 2s
-20 2s
10 2s
10 2s
81. A stone is thrown with an initial velocity 5 m/s such that it covers maximum possible horizontal distance RM meters on the surface of the moon. The same stone is thrown with same initial velocity by a person standing on the earth, making an angle of 15° with the horizontal surface. Given that ,Ax 9,8 and Am= 1.6 the horizontal distance it covers on earth surface is
9.8 RM meters
9.8/RM meters
RM/9.8 meters
RM/4.9 meters
82. A body of mass in kg is constrained to move along a circle of radius m. At a given instant, its speed is km/S and the speed is increasing at the rate of a m/s^2.The angle between particle's velocity and acceleration is
0°
30°
45°
90°
83. The potential on the surface of a solid conducting sphere of radius r 20 cm is 100 V and the potential at r 10 cm is
100 V
50 V
25 V
zero
84. A particle of charge q1 is placed at a and another of charge q2 is placed at x=-2a. For the net force on a third charged particle at placed at the origin to be zero, q2 must equal to
2q1
4q1
-2q1
-4q1
85. Charge Q is distributed uniformly throughout an insulating solid sphere of radius R. The magnitude of the electric field at a point 2R/3 from the center is
Q/6nEOR2
Q/8nEOR2
Q/72nEO/R2
llQ/18nEOR2
86. A given semiconductor Si is to be doped with the following element to make it n-type semiconductor
Al
Ge
P
S
87. An electron is launched with velocity r in a uniform magnetic field B . The angle 8 between v and B is in the range of 0° and 90°. As a result, the electron follows a helical path, its velocity vector r returning to its initial value in a time interval of
(2nID tan8)/eB
(2nD cot8)/eB
(2nD sin
(2nm cos
88. The magnitude of the magnetic field at point at the center of the semicircle shown, is given by
<img src='./qimages/15976-88.jpg'>
lloi/2R
89. Air is pumped into a soap bubble of radius r to triple its radius. If the surface tension of the soap solution is then the work done in the process is
l2'rrr:.l.S
16nr:.l.S
BnTzS
90. The change in volume of an indiarubber cord when stretched within the elastic limit, the change in volume is almost negligible compared with the change in shape, then the Poisson's ratio is
0
0.25
0.5
1
91. The units of Planck's constant h are same as those of
energy
Power
momentum
angular momentum
92. Possible values of the principal quantum number for an electron in atom are only
0 and 1
...x;
93. An ideal gas system from an initial state of pressure Po, volume Vo and temperature To is taken through an isochoric process till its pressure become three times the original pressure and subscquent1y, expanded isothermally till the pressure is Po again. The volume at the end of the isothermal process is
<img src='./qimages/15976-93.jpg'>
1/2 vo
vo
2vo
3 vo
94. An ice piece of mass lOO g at temperature 0°C is added to 200 g of water at How much ice will remain in the water, immediately after the temperature of the water reaches 0 The specific heat capacity of water is 4200 J and specific latent heat of fusion of ice is assumed to be 2.1 x l0^5 J
100g
50g
25g
0g 19
95. A solid at temperature T1 is kept in an evacuated chamber at temperature T2 >T1. The rate of increase of temperature Of the body is proportional to
T2-T1
T2^2-T1^2
T2^3-T1^3
T2^4-T1^4
96. A convex shaped contact lens is made of plastic whose refractive index is 1.50. The lens has an outer radius of curvature of 1.50 cm and inner radius curvature of 2.25 cm. The focal length of the lens is
1.80 cm
4.50 cm
9.00 cm
9.50 cm
97. An organ pipe with both ends open is 1.5 m long. Assuming that the speed of sound is 340 the frequency of the third harmonic of this pipe is
170 Hz
340 Hz
680 Hz
900 Hz
98. While standing at a cross walk, you hear a sound with frequency of 560 Hz from an approaching police car. After the police car passes and is moving away from you, you hear the sound with a frequency of 480 Hz.If the velocity of sound is V then the speed of the police car is
2V/13 m/s
V/13 m/s
V/26m/s
V/39 m/s
99. A detector placed at 5 m from a candle in a large, otherwise dark room receives a power of about 2 x W. The power of light received by the detector when placed at a distance of lOrn from candle is
2.0 X10^-9W
2.0 X10^-8W
5.0x 10^-8W
8.0 X10^8W
100. Unpolarized light emitting from a laser source has energy of 12 watts. This laser beam is passed through the pair of polarizer analyzer, which are kept at a relative angle of 45°. The output energy of the light after it emerges from the analyzer is
3 watts
4 watts
6 watts
9 watts
Other Question Papers
Subjects
- ima in hindi
- ima in humanities
- ima social sciences
- imsc - ph.d - in biotechnology
- imsc earth sciences
- imsc in health psychology
- imsc in nursing science
- imsc in optometry & vision sciences
- imsc in sciences