VITEEE Sample Questions Physics Chemistry Mathematics Biology

VITEEE 2011 Sample Questions 

SAMPLE QUESTIONS

PART – I – Physics

1) A Parallel-plate capacitor of plate area 0.2m2 and plate spacing 1 cm is charges to 1000V and is then disconnected from the

battery. How much work is required if the plates are pulled apart to double the plate spacing? (e0 =8.9x10-12 C2/ N.m2)

A) 8.9x10-5 J B) 4.8x10-7 J C) 5.9x10-8 J D) 9.5x10-8 J

2) An AC generator consists of eight turns of wire, each having area A-0.009m2, with a total resistance of 12. Th e loop rotates

in a magnetic fi eld of 0.5T at a constant freqency of 60Hz. Th e maximum induced emf is

A) 134V B) 127V C) 136V D) 143V

3) A uniform cylindrical coil in vacuum has r1 = 1m, l1 =1m and 100 turns, coaxial and at the centre of this coil is a smaller

coil of r2 =10cm, l2 =10cm and 10 turns. Th e mutual inductance of the two coils are

A) 25.2 B) 39.5 C) 44.2 D) 33.2

4) Th e mutual induction between two coils when a current of 2A changes to 6A in 2 second and induces an emf of 20mV in

a secondary coil is

A) 1mH B) 2mH C) 10mH D) 20mH

5) When a hydrogen atom makes a transition from n=3 to n=2 state the wavelength emitted for the fi rst Balmer line is

A) 658nm B) 840nm C) 706nm D) 690nm

6) Energy gap of a certain p-n junction is found to be 3eV. What is the wavelength of light emitted by this LED when

connected to a battery? (Planck’s constant, h=4.14x10-15eV and speed of light in vacuum, c=3x108 m/s)

A) 828nm B) 414nm C) 207nm D) 1242nm

7) An infi nitely long solenoid of radius 2cm is uniformly wound with 1mm diameter copper wire in a single layer. If

the current carried by the wire is 0.5A, the magnetic fi eld along the axis is approximately.

A) 500 T B) 6x10-7T C) 6x10-4T D) 1 T

8) An electron with energy E0 has a wavelength . If the energy is doubled to 2E0, the wavelength will be

A) 2λo B) √2λo C) λo / √2 D) λo / 2

9) A screen is separated from a double slit source by 1.20m. Th e distance between the two slits is 0.030mm. Th e second

order bright fringe (m=2) is measured to be 4.5cm from the centerline. Th e wavelength of the light

A) 593nm B) 690nm C) 563nm D) 840nm

10) Consider an electron of kinetic energy E and a photon of the same energy. Let the de Broglie wavelength of the electron

be λelectron and the wavelength of the photon be λphoton. Th en the ratio λelectron / λphoton is proportional to

A) E-2 B) E2 C) E-1/2 D) E1/2

PART – II – Chemistry

1) A Compound formed by element A and B, crystallizes in the cubic structure. When atoms of A are at the corners of the

cube and B atoms are at the face centres, the formula of the compound is

A) AB B) AB3 C) A3B D) AB2

2) Λom for CaCl2 is [ given λo Ca2+ =119.0 λoCl- =76.3 ]

A) 271.6 S cm2 mol-1 B) 195 cm2 C) 295 cm2 D) 195.3 cn2 mol-1

3) Th e molar conductance at infi nite dilution at 18oC for KF is 129.21 S m2 mol-1. What is the molar conductance of

Naf under similar condition?

A) 152.63 S m2 mol-1 B) 105.79 S m2 mol-1

C) 149.86 S m2 mol-1 D) 121.55 S m2 mol-1

4) Acetophenone and benzophenone can be distinguished from one another by

A) Iodoform test B) Tollen’s reagent C) 2, 4-Dinitrophenylhydrazine test D) Dye test

5) Anisole reacts with a mixture of conc. sulphuric acid and nitric acid to yield

A) both ortho and para nitro anisole B) para nitro anisole

C) ortho nitro anisle D) meta nitro anisole and ortho anisole

6) C6H5No2 + 6[H] ? C6H5NH2 + 2H2O

A) Sn/HCl B) ZnCl2/Hcl C) CuCl/HCl D) CuCl2/HCl

7) One mole of an ideal gas expands isothermally and reversibly from 0.02 m3 to 0.2 m3 at 300K. Th e entropy change of the

system is ( Data: R = 8.3 J K-1 mol-1 )

A) zero J K-1 B) 83 J K-1 C) 19.1 J K-1 D) 8.3 J K-1

8) Th e correct set of four quantum numbers for the outermost electron of Rubidium (z = 37) is

A) 5, 0, 0, -1/2 B) 6, 0, 0, +1/2 C) 5, 1, 1, +1/2 D) 5, 1, 0, +1/2

9) Th e reaction A→B follows fi rst order kinetics. Th e time taken for 0.8 mole of A to produce 0.6 mole of B is 1 hour. What

is the time taken for conversion of 0.9 mole of A to produce 0.675 mole of B?

A) 0.5 hour B) 0.25 hour C) 1 hour D) 2 hours

10) Diethyl ether on reaction with Chlorine in the presence of light gives

A) α- Chloroether B) perchloro diethyl ether

C) α,α1 -dichlorodiethyl ether D) α-Chlorodiethyl ether

PART – III – Mathematics

1) Th e magnitude of vectors a, b, c are respectively 1, 1 and 2. If a x (a x c)+ b =0, then the acute angle between a and c is

A) B) C) D)

2) Th e line ax+by+c = 0 will be normal to xy = 1 if

A) a>0, b>0 B) a and b are of opposite signs

C) a<0, b<0 D) a = 0, b = 0

3) A tetrahedron has vertices at O(0,0,0), A(1,2,1), B(2,1,3) and C(-1,1,2) then the angle between the faces OAB and

ABC will be

A) B) C) 30o D) 90o

4) Let Z16 denote the set of non-negative integers modulo 16. Th e order of the element 6 (under multiplication) is

A) 7 B) 4 C) 3 D) 5

5) Th e argument of the complex number (1+i)4 is

A) 135o B) 180o C) 45o D) 90o

6) Th e region in the Argand plane defi ned by |z-2i| + |z+2i|<5 is the interior of the ellipse with major axis along

A) the real axis B) y = -x C) y = x D) the imaginary axis

7) Th e point (a, 2a) is an interior point of the region bounded by parabola y2 =16x and the double ordinate through the

focus. Th en a belongs to the interval

A) a<4 B) a>4 C) 0

8) If the foci of the ellipse and the hyperbola coincide, then the value of b2 is

A) 1 B) 5 C) 7 D) 9

9) Th e value of is

A) 1 B) C) 0 D) -1

10) If the function and , then the value of g’(1) is

A) 7 B) 0 C) 1 D) 1/7

PART – IV – Biology

1) Regulation of gene expression is controlled by the binding of enhancer/repressor to

A) Promoter B) Prinbnow box C) TATA box D) Operator

2) Type of chloroplast seen in Oedogonium

A) Reticulate B) Spiral C) Stellate D) Cup shaped

3) Which of the following feature cannot diff erentiate between chordates and non-chordates?

A) Notochord B) Dorsal nerve cord

C) Pharyngeal gill slits D) Body cavity or coelom

4) Source of energy for Urey-Miller experiment was

A) glycine B) UV C) Electric spark D) ATP

5) Which malarial parasite has the longest incubation period?

A) Plasmodium ovale B) Plasmodium falciparum

C) Plasmodium vivax D) Plasmodium malariae

6) Genes present in the cytoplasm of eukaryotic cells are found in

A) Mitochondrial & inherited via egg cytoplasm

B) Lysosomes and peroxisomes

C) Golgi bodies and smooth endoplasmic reticulum

D) Plastids and inherited via male gametes

7) Mitochondrial DNA is present in

A) cytoplasm B) matrix C) inner membrane D) cristae

8) Pasteurization of milk in LTLT method is

A) 72o C for 15 sec B) 36o C for 30 min C) 63o C for 30 min D) 89o C for 1 sec

9) If MG2+ ions are absent in plants, what will be the primary symptom?

A) the leaves degenerates B) the leaf colour disappears

C) the leaf veins degenerates D) the leaves roles inside

10) Which of the following is the most common property of cancer & HIV?

A) uncontrolled cell proliferation B) contagious

C) can be acquired by any age group D) escaping of detection by immune system

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