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Latest KVPY SB SX Exam Question (Objective Questions), MCQ in English

Subjects : Physics (Part I), Chemistry (Part I), Mathematics (Part I), Biology (Part I), Physics (Part II), Chemistry (Part II), Mathematics (Part II), Biology (Part II)

Question Bank KVPY SB SX Exam - English
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Physics (Part I)

Question 1Single Answer
In ruby laser, the stimulated emission is due to transition from
  1. A
    metastable state to any lower state
  2. B
    any higher state of lower state
  3. C
    metastable state to ground state
  4. D
    any higher state to ground state
Question 2Single Answer
A direct current I flows along the length of an infinitely long straight thin walled pipe, then the magnetic field is
  1. A
    uniform throughout the pipe not zero
  2. B
    zero only along the axis of the pipe
  3. C
    zero at any point inside the pipe
  4. D
    maximum at the centre and minimum at the edge
Question 3Single Answer
convex lens made of glass has focal length 0.15m in air. If the refractive index of glass is 3/2, and that of water is 4/3 the focal length of lens when immersed in water is
  1. A
    0.45 m    
  2. B
    0.15 m
  3. C
    0.30 m       
  4. D
    0.6 m
Question 4Single Answer
Two sources are said to be coherent if they produce waves
  1. A
    having a constant phase difference
  2. B
    of equal wavelength
  3. C
    of equal speed
  4. D
    having same shape of wavefront
Question 5Single Answer
Three resistors 1 Ω, 2 Ω, 3Ω resistor a 3 V battery is connected. The current through 3 Ω resistor is -
  1. A
    0.75 A     
  2. B
    1 A
  3. C
    2 A         
  4. D
    1.5 A
Question 6Single Answer
In a common emitter amplifier the input signal is applied across
  1. A
    anywhere 
  2. B
    emitter-collector
  3. C
    collector-base
  4. D
    base-emitter
Question 7Single Answer
Adding detergents to water helps in removing dirty greasy stains. This is because
1. It increases greasy stains. This is because
2. It decreases the oil-water surface tension
3. It increases the viscosity of the solution
4. Dirt is held suspended surrounded by detergent molecules
  1. A
    2 and 4
  2. B
    1 only
  3. C
    3 and 4
  4. D
    4 only
Question 8Single Answer
Choose the correct statement (a) for a cricket ball that is spinning clockwise through air
S1 : Statemlines of air are symmetric around the ball.
S2 : The velocity of air above the ball relative to it is larger than that below the ball.
S3 : The velocity of air above the ball relative to it is smaller than that below the ball.
S4 : There is a net upward force on the ball.
  1. A
    S1,S2 and S4
  2. B
    S2 and S4
  3. C
    S4 only
  4. D
    S3 only
Question 9Single Answer
Ferromagnetic materials used in a transformer must have
  1. A
    low permeability and high hysterisis loss
  2. B
    high permeability and low hysterisis loss
  3. C
    high permeability and high hysterisis loss
  4. D
    low permeability and low hysterisis loss
Question 10Single Answer
According to Newton’s corpuscular theory, the speed of light is
  1. A
    same in all the medium
  2. B
    lesser in rarer medium
  3. C
    lesser in denser medium
  4. D
    independent of the medium
Question 11Single Answer
For the constructive interference the path difference between the two interfering waves must be equal to
  1. A
    (2𝜋 + 1)λ  
  2. B
    2n𝜋
  3. C
    nλ
  4. D
    n
Question 12Single Answer
The accurate measurement of emf can be obtained using
  1. A
    multimeter 
  2. B
    voltmeter
  3. C
    voltameter
  4. D
    potentiometer
Question 13Single Answer
A person, with outstretched arms, is spinning on a rotating stool. He suddenly brings his arms down to his sides. Which the following is true about his kinetic energy K and angular momentum L?
  1. A
    Both K and L increase
  2. B
    Both K and L remain unchanged
  3. C
    K remains constant, L increases
  4. D
    K increases but L remains constant
Question 14Single Answer
Which of the following is not a thermodynamic coordinate?
  1. A
    Gas constant (R)   
  2. B
    Pressure (p)
  3. C
    Volume (V) 
  4. D
    Temperature (T)
Question 15Single Answer
An antenna uses electromagnetic waves of frequency 5 MHz . For proper working, the size of the antenna should be
  1. A
    300 m
  2. B
    3 km
  3. C
    15 m
  4. D
    15 km
Question 16Single Answer
The amount of energy released when one microgram of matter is annihilated is
  1. A
    25 kWh  
  2. B
    9 x 1010 kWh
  3. C
    3 x 1010 kWh
  4. D
    0.5 x 105 kWh
Question 17Single Answer
The number of significant figures in the numbers 4.8000 x 104 48000.50 are respectively
  1. A
    5 and 6
  2. B
    5 and 7
  3. C
    2 and 7
  4. D
    2 and 6
Question 18Single Answer
β-decay means emission of electron from
  1. A
    innermost electron orbit
  2. B
    a stable nucleus
  3. C
    outermost electron orbit
  4. D
    radioactive nucleus
Question 19Single Answer
An electric heater rated 220 V and 550 W is connected to AC mains. The current drawn by it is
  1. A
    0.8 A          
  2. B
    2.5 A
  3. C
    0.4 A        
  4. D
    1.25 A
Question 20Single Answer
A string is wound round the rim of a mounted flywheel of mass 20 kg and radius 20 cm. A steady pull of 25 N is applied on the cord. Neglecting friction and mass of the string, the angular acceleration of the wheel is
  1. A
    50 s-2
  2. B
    25 s-2
  3. C
    12.5 s-2
  4. D
    6.25 s-2

Chemistry (Part I)

Question 21Single Answer
10-6 M NaOH is diluted 100 times. The pH of the diluted base is
  1. A
    between 7 and 8
  2. B
    between 5 and 6
  3. C
    between 6 and 7
  4. D
    between 10 and 11
Question 22Single Answer
In the electrolysis of acidulated water, it is desired to obtain 1.12 cc of hydrogen per second under STP condition. The current to be passed is
  1. A
    1.93 A         
  2. B
    9.65 A
  3. C
    19.3 A        
  4. D
    0.965 A
Question 23Single Answer
The one which decreases with dilution is
  1. A
    molar conductance
  2. B
    conductance
  3. C
    specific conductance
  4. D
    equivalent conductance
Question 24Single Answer
Vapour pressure of pure ‘A’ is 70 mm of Hg at 25oC. It forms an ideal solution with ‘B’ in which mole fraction of A is 0.8. if the vapour pressure of the solution is 84 mm of Hg at 25oC, the vapour pressure of pure ‘B’ at 25oC is
  1. A
    28 mm   
  2. B
    56 mm
  3. C
    70 mm    
  4. D
    140 mm
Question 25Single Answer
A 6% solution of urea is isotonic with
  1. A
    1 M solution of glucose
  2. B
    0.05 M solution of glucose
  3. C
    6% solution of glucose
  4. D
    25% solution of glucose
Question 26Single Answer
In countries nearer to polar region, the roads are sprinkled with CaCl2. This is
  1. A
    to minimise the wear and tear of the roads
  2. B
    to minimise the snow fall
  3. C
    to minimise pollution
  4. D
    to minimise the accumulation of dust on the road
Question 27Single Answer
A compound of ‘A’ and ‘B’ crystallises in a cubic lattice in which ‘A’ atoms occupy the lattice points at the corners of the cube. The ‘B’ atoms occupy the centre of each face of the cube. The probable empirical formula of the compound is
  1. A
    AB2 
  2. B
    A2B
  3. C
    AB
  4. D
    AB3
Question 28Single Answer
In electrophilic aromatic substitution reaction, the nitro group is meta directing because it
  1. A
    decreases electron density at ortho and para positions
  2. B
    decreases electron density at meta position
  3. C
    increases electron  density at meta position
  4. D
    increases electron density at ortho and para position
Question 29Single Answer
The best method for the conversion of an alcohol into an alkyl chloride is by treating the alcohol with
  1. A
    PCI5
  2. B
    PCI3
  3. C
    SOCl2 in presence of pyridine
  4. D
    dry HCl in the presence of anhydrous ZnCl2
Question 30Single Answer
The carbon bond length in benzene is
  1. A
    in between C2H6 and C2H4
  2. B
    same as in C2H4
  3. C
    in between C2H6 and C2H2
  4. D
    in between C2H4 and C2H2
Question 31Single Answer
The compound which is not formed during the dry distillation of a mixture of calcium formate and calcium acetate is
  1. A
    methanal
  2. B
    propanal
  3. C
    propanone
  4. D
    ethanal
Question 32Single Answer
An organic compound x is oxidised by using acidified K2Cr2O7. The product obtained reacts with phenyl hydrazine but does not answer silver mirror test. The possible structured of X is
  1. A
    CH3CH2OH
  2. B
    CH3 – C – CH3
  3. C
    (CH3)2CHOH 
  4. D
    CH3CHO
Question 33Single Answer
Arrange the following in the increasing of their. Basic strengths CH3NH2, (CH3)2NH, (CH3)2N, NH3
  1. A
    NH3, < (CH3)3N < (CH3)2NH < CH3NH2
  2. B
    NH3 < (CH3)3N < CH3NH2 < (CH3)2NH
  3. C
    (CH3)3N < NH3 < CH3NH2 < (CH3)2NH
  4. D
    CH3NH2 < (CH3)2NH < (CH3)3N , NH3
Question 34Single Answer
The one which has least iodine value is
  1. A
    sunflower oil 
  2. B
    ginger oil
  3. C
    ghee
  4. D
    groundnut oil
Question 35Single Answer
A diabetic person carries a packet of glucose with him always, because
  1. A
    glucose reduces the blood sugar level slowly
  2. B
    glucose increases the blood sugar level slowly
  3. C
    glucose reduces the blood sugar level
  4. D
    glucose increases the blood sugar level almost instantaneously
Question 36Single Answer
There are 20 naturally occurring among acids. The maximum number of tripeptides than can be obtained is
  1. A
    8000 
  2. B
    6470
  3. C
    7465
  4. D
    5360
Question 37Single Answer
At what temperature ill the RMS velocity of SO2 be the same as that of O2 at 303 K ?
  1. A
    403 K
  2. B
    303 K
  3. C
    606 K
  4. D
    273 K
Question 38Single Answer
Phenol is treated with bromine water and shaken well. The white precipitate formed during the process is
  1. A
    m–bromophenol
  2. B
    2, 4, 6 tribromophenol
  3. C
    2-4 dibromophenol
  4. D
    A mixture of o-and p-bromophenols
Question 39Single Answer
In thermite process the metal used as reducing agent is:
  1. A
    Nickel
  2. B
    Zinc
  3. C
    Sodium
  4. D
    Aluminium
Question 40Single Answer
Which of the following compounds on boiling with alkaline KMnO4 and subsequent acidification will not give benzoic acid?
  1. A
    Benzyl alcohol
  2. B
    Acetophenone
  3. C
    Anisole
  4. D
    Toluene

Mathematics (Part I)

Question 41Single Answer
The elements of the set {x : x is an integer, x2 : 4} can be represent as .....Z..... . Here, Z refers to
  1. A
    {–2, 2} 
  2. B
    {–1, 0, 1}
  3. C
    {–2, –1, 0, 1, 2}
  4. D
    {0, 1, 2}
Question 42Single Answer
 
  1. A
  2. B
  3. C
  4. D
    None of these
Question 43Single Answer
If Y = {x : x is a positive factor of the number 2p – 1(2p – 1), where 2p – 1 is a prime number}, then Y can be represent in roster form as
  1. A
    {2}
  2. B
    {1, 2}  
  3. C
    {1, 2, 22, ....., 2p – 1}
  4. D
    {1, 2, 22, 23,.... 2p – 1, (2p – 1)}
Question 44Single Answer
The set {x : x is a positive integer less than 6 and 3x – 1 is an even number} in roster form is
  1. A
    {1, 2, 3, 4, 5}
  2. B
    {1, 2, 3, 4, 5, 6}  
  3. C
    {2, 4, 6}
  4. D
    {1, 3, 5}
Question 45Single Answer
If A B and A B, then
  1. A
    A is called a proper subset of B
  2. B
    A is called a super set of B
  3. C
    A is not a subset of B 
  4. D
    B is a subset of A
Question 46Single Answer
The number of non-empty subsets of the set{1, 2, 3, 4} is
  1. A
    15
  2. B
    14
  3. C
    16
  4. D
    17
Question 47Single Answer
The number of elements of the power set of a set containing m elements is
  1. A
    2m – 1
  2. B
    m 
  3. C
    m2
  4. D
    2m
Question 48Single Answer
If A = {x : x = n2, n = 1, 2, 3}, then number of proper subsets is
  1. A
    3
  2. B
    8
  3. C
    7
  4. D
    None of these
Question 49Single Answer
If A = {x : x = 4n + 1, 2 £ n £ 5},then number of subsets of A is
  1. A
    16
  2. B
    15  
  3. C
    4 
  4. D
    None of these 
Question 50Single Answer
Let A and B be two non-empty subsets of a set X such that A is not a subset of B, then
  1. A
    A is always a subset of the complement of B
  2. B
    B is always a subset of A  
  3. C
    A and B are always disjoint
  4. D
    A and the complement of B are always non-disjoint  
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