Karunya Entrance Exam Model Question Paper : admissions.karunya.edu

Organisation : Karunya University
Exam : Karunya Entrance Exam – KEE
Paper: Mathematics
Document Type : Model Question Paper
Year : 2014

Website : http://admissions.karunya.edu/
Download Model/Sample Question Paper : https://www.pdfquestion.in/uploads/8816-KEE.pdf

Karunya Entrance Exam Model Question Paper :

Mathematics :
1. If I is the unit matrix of order n, Where K ? 0 is a constant then adj(KI ) = ________
a) K n (adjI )
b) K n-1 (adjI )

Related : Srinivas Universitiy SU-CET Model Question Paper 2016 : www.pdfquestion.in/8759.html

c) K 2 (adjI )
d) K (adjI )

2. If (A) = (A,B) then the system is
a) Consistent and has infinitely many solution
b) Consistent and has unique solution
c) Consistent
d) Inconsistent

3. If A is square matrix then A A’ + A’A is a
a) Unit Matrix
b) Null Matrix
c)Symmetric Matrix
d)Skew Symmetric Matrix

6. If ar and b are unit vectors having opposite directions, which one of the following is true?
a) ar . b =1
b) ar . b =0
c) ar x b =0
d) ar b r = 2

7. If a and b are two unit vectors and ? is the angle between them, then ( a – b ) is a unit vector if
a) 1/4
b) 1/2
c) 1/3
d) 3/4

8. If z – z = z – z then the locus of z is
a) a circle with centre at the origin
b) a circle with centre at 1 z
c) a straight line passing through the origin
d) a perpendicular bisector of the line joining 1 z and 2

9. The curve with parametric equation x = 1+ 4 cos , y = 2 + 3sin is ________
a) a circle
b)a parabola
c)an ellipse
d)a hyperbola

10. The volume of the solid obtained when the area between the line joining the points (0,0) and (2, 3) and x—axis is rotated about x-axis is __________
a) 2
b) 4
c) 8
d) 6

11. The area between the parabolas ???? ?? 16?? and the line y =x is ________
a) 442/3
b) 441/3
c) 128/3
d) 256/3

12. The particular integral of the differential equation (D3 +1) y = x is
a) x
b) – x
c) 2x
d) x/2

13. In congruence modulo5, xZ / x = 5k + 4, k ? z} represents
a ) [0]
b) [5]
c) [4]
d)[2]

14. A die is thrown 100 times. If getting an odd number is success, then the variance of the number of success is _________.
a) 50
b) 40
c)25
d) 20

15. If 2 cards are drawn from a well shuffled pack of 52 cards, the probability that they are of the same colours with replacement is
a) 1/2
b) 25/51
c) 26/51
d) 25/102

PHYSICS :
1. Three small identical balls have charges -3 x 10-12 C, 8 x 10-12 C and 4 x 10-12 C respectively. They are brought in contact and then separated. Calculate the charge on each ball.
(a) 3 x 10-12 C
(b) 0.3 x 10-12 C
(c) 30 x 10-12 C
(d) 0.03 x 10-12 C

2. A dipole is placed in a uniform electric field with its axis parallel to the field. It experiences
(a) Only a net force
(b) Only a torque
(c) Both a net force and torque
(d) Neither a net force nor a torque

3. A charge of 60 C passes through an electric lamp in 2 minutes. Then the current in lamp is
(a) 30 A
(b) 1 A
(c) 0.5 A
(d) 5 A

4. Peltier coefficient at a junction of a thermocouple depends on
(a) The current in the thermocouple
(b) The time for which current flows
(c) The temperature of the junction
(d) The charge that passes through the thermocouple

5. A coil of area of cross section 0.5 m2 with 10 turns is in a plane which is perpendicular to an uniform magnetic field of 0.2 Wb m-2. The flux through the coil is
(a) 100 Wb
(b) 10 Wb
(c) 1 Wb
(d) Zero

6. The self inductance of a straight conductor is
(a) Zero
(b) Infinity
(c) Very large
(d) Very small

7. If the wavelength of the light is reduced to one fourth, then the amount of scattering is
(a) Increased by 16 times
(b) Decreased by 16 times
(c) Increased by 256 times
(d) Decreased by 256 times

8. The first excitation potential energy or the minimum energy required to excite the atom from ground state of hydrogen atom is
(a) 13.6 eV
(b) 10.2 eV
(c) 3.4 eV
(d) 1.89 eV

9. X-ray is
(a) Phenomenon of conversion of kinetic energy into radiation
(b) Conversion of momentum
(c) Conversion of energy into mass
(d) Principle of conversation of charge

10. Calculate the de Broglie wave length of an electron of kinetic energy 120 eV.
(a) 11.21 Å
(b) 1.121 Å
(c) 112.1 Å
(d) 1121 Å

CHEMISTRY :
1. Sommerfield’s theory suggests _____ orbits for atomic structure.
(a) Spherical
(b) circular
(c) elliptical
(d) dumb-bell

2. In filling u of electrons in orbitals, electrons will pair up only when all the available orbitals have at least one electron each. This is called _____.
(a) Afbau’s principle
(b) Pauli’s exclusion principle
(c) Hund’s rule
(d) Sommerfield’s theory

3. Octet rule is deviated in _____.
(a) XeF4
(b) PCl4
(c) PCl5
(d) OsO4

4. The imperfect crystallization with a few atoms missed in the crystal lattice is called _____.
(a) Sckottky defect
(b) Frenkel defect
(c) Screw dislocation
(d) Fresnel defect

5. A sample of Strontium–90 is found to have decayed to one – eighth of its original amount after 87.3 years. What is the half life of Strontium–90?
(a) 40 years
(b) 35.6 years
(c) 29.1 years
(d) 43.6 years