GAIIT Classes Aryabhatt Super 30 Talent Search Exam 2018 Class XII IIT Sample Paper
Name of the Organization : GAIIT Classes
Exam : Aryabhatt Super 30 Talent Search Exam 2018
Document Type : Sample Question Paper
Category or Subject : Class X,XI,XII Students
Website : gaiit.com/Aryabhatt/AdmissionTest
Download Model Question Paper :https://www.pdfquestion.in/uploads/23288-Class12thIIT.pdf
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General Instructions
Time :- 2 Hours
Full Marks :- 225
2251 This question booklet contains 75 questions. Divided into three sections Section A, Section B and Section C.
2 Each section contains 25 multiple choice questions as well as multiple choice question. Choose the most appropriate option.
3 Each question carrries 3 marks, for each correct answer the student will be awarded 3 marks, zero if not attempted and -1 in all other cases.
4 The OMR will be graded by machine so do not fold or make any stray marks on the OMR sheet.
5 The bubbles on the OMR sheet should be filled completely with black ball pen. Do not hard press the pen on the OMR sheet.
6 Fill the required details in the OMR sheet. Incomplete OMR sheets will not be considered for evaluation.
Sample Paper IIT
Section – A
1. The velocity of projection of a projectile is (6?? +8?? ) m/sec. the horizontal range of the particle is (g=10 m/sec2)
(a) 4.9 m
(b) 9.6 m
(c) 19.6 m
(d) 14 m
2. A block of mass 1 kg lies on a horizontal surface in a truck. The coefficient of static fuction between the block and the surface is 0.6. if the acceleration of the truck is 5 m/sec2, the frictional force acting on the block is
(a) 5 N
(b) 6 N
(c) 10 N
(d) 15 N
3. The kinetic energy of a body of mass 2 kg and momentum of 2 Ns is
(a) 1 J
(b) 2 J
(c) 3 J
(d) 4 J
4. Let ar and at, represent radial and tangential accn. the motion a particle may be circular if
(a) ar = 0, at = 0
(b) ar = 0, at ? 0
(c) ar ? 0, at = 0
(d) none of these
5. 2 masses 1 g and 4 g are moving with equal K.E. the ratio of the magnitude of their linear momentum is
(a) 1 : 1
(b) 1 : 2
(c) 1 : 3
(d) 1 : 4
6. There are particles of same mass. If one of the particles is at rest always and the other has an acceleration ?? . Acceleration of centre of mass is
(a) zero
(b) 1/2 ??
(c) ??
(d) centre of mass for such a system can not be defined
7. The moment of inertia (I) for a uniform circular disc is
(a) MR2
(b) MR2/4
(c) MR2/2
(d) 3/2 MR2
8. A constant torque acting on a uniform circular what changes its angular momentum from A0 to 4 A0 in 4 sec. the magnitude of this torque is
(a) 4 A0
(b) A0
(c) 12 A0
(d) 3 A0/4
9. In absence of external forces on a rigid system, which of the following quantities must remain constant?
(a) Angular momentum
(b) positive vector
(c) both (a) and (b)
(d) none of these
10. The centre of a disc rolling without slipping on a plane moves with a speed v. a particle on the lower half of the rim making an angle 600 with the vertical, will be moving at speed
(a) zero
(b) v
(c) 2 v
(d) 2 v
Section – B
1. For the gas phase reaction, PCI5 ? PCI3 (g) + CI2(g)
(a) ?H < 0 ?S<0
(b) ?H > 0 ?S < 0
(c) ?H = 0 ?S<0
(d) ?H > 0 ?S > 0
2. Oxidation no. of Cr in CrO5
(a) + 10
(b) +8
(c) + 6
(d) + 4
3. The calomel electrode used as reference electrode contains
(a) PbO2 + PbSO4 mixture
(b) HgCI2
(c) Hg2CI2
(d) ZnCI2
4. A current of 2 amp when passed for 5 hours through a molten salt. Deposits 22.2 g of metal of atomic mass 177. The oxidation state of metal in the salt is
(a) +1
(b) +2
(c) +3
(d) +4
6. In an equilibrium reaction, for which ?G0 = 0 the equilibrium constant K should be
(a) zero
(b) 10
(c) 1
(d) 2
7. Isotonic solution have:
(a) same boiling point
(b) same vapour preosure
(c) same melting point
(d) same osmotic pressure
8. If the absolute temperature of an ideal gas is double and the pressure is reduced to one – half the volume of the gas will
(a) remain unchanged
(b) be double
(c) be halved
(d) increase fourfold
9. Momentum of a photon of wavelength ? is
(a) h?/c2
(b) h/?
(c) zero
(d) h?/c
10. The Bohr orbit radius for H-atom (n = 1) is approximately 0.53 Å. The radius for the first excited state (n = 2) orbit is
(a) 0.13 Å
(b) 1.06 Å
(c) 4.77 Å
(d) 2.12 Å
Section – C
3. Sum of non-real roots of ??2+??-2 ??2+??-3 =12
(a) 1
(b) -1
(c) -6
(d) 6
4. Find the sum of series 12+22+32+?….+102
(a) (55)2
(b) 385
(c) 437
(d) None of these
5. If log??2-log2??=3log3-log6 then x equals
(a) 9
(b) 3
(c) 4
(d) 5
6. The number of words that can be formed by using the letters of the word MATHEMATIC that start as well as end with T is
(a) 80720
(b) 90720
(c) 20860
(d) 137528