Genesis Classes Talent Search Exam Class XII Question Paper genesisclasses.in
Organisation : Genesis Classes Pvt. Ltd.
Exam : Talent Search Exam
Document Type : Question Paper
Class : XII Std
Year : 2017
Website : http://www.genesisclasses.in/questionpaper#
Genesis Classes Talent Search Exam Question Paper
Sample Question Paper of Genesis Classes Talent Search Exam 2018 Class XII Question Paper is now available in the official website of Genesis Classes.
Related / Similar Question Paper :
Genesis Classes TSE Class XI Sample Question Paper
Instructions
A. General :
1. This booklet is your question paper containing 90 questions. The booklet has 8 pages.
2. The question paper contains blank space on back for your rough work. No additional sheets will be provided for rough work.
3. It is mandatory to use Blue or Black Ball Point Pen to darken to appropriate circle in the answer sheet.
4. Blank papers, clipboards, log tables, slide rules, calculators, cellular phones, pagers and electronic gadgets in any form are not allowed to be carried inside the examination hall.
5. Fill in the boxes provided below on this page and also write your Name and Roll Number in the space provided.
6. Do not use white-fluid or any other rubbing material on answer sheet. Before handing over the answer sheet to the invigilator, candidate should check that Roll No, Test code and Book Code have been filled and marked correctly. Immediately after the prescribed examination time is over, the Answer sheet is to be returned to the invigilator.
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Model Questions
Test Code :
Duration : 2 Hours
Max. Marks : 360
Physics
1. In a horizontal uniform electric field, a small charged disk is gently released on the top of a fixed spherical dome. The disk slides down the dome without friction and breaks away from the surface of the dome at angular position ? = sin–1 (3/5) from the vertical. Determine the ratio of the force of gravity acting on the disk to the force of its interaction with the field.
(A) 3/4
(B) 4/3
(C) 2/9
(D) 1/12
2. A charge particle is in equilibrium at point A under combined action of a uniform gravitational field and a nonuniform electric field. The electric field is symmetric with respect to rotation about the y-axis and the lines of the electric field in a plane are shown in the fig. The charge modulus on the particle is changed gradually till it shifts to another equilibrium position B. With the help of the fig. estimate fractional change in the charge modulus.
(A) 3/1
(B) 3/2
(C) 9/1
(D) 9/8
4. A straight chain consisting of n identical metal balls is at rest in a region of free space as shown. In the chain, each ball is connected with adjacent ball by identical conducting wires. Length l of a connecting wire is muchlarger than the radius r of the balls. A uniform electric field E pointing along the chain is switched on in the region. Find the magnitude of the induced charges at one of the end ball.
(A) q = 2??0rnlE
(B) q = 2??0r(n – )lE
(C) q = 4??0r(n – )lE
(D) q = 4??0r(n – )2l2E
5. Flat air capacitor C consits of two large plates, located close to each other. Initially, one of the plates was not charged, while the other had charge Q. Now a slab of electrical resistance R and thickness equal to distance between the plates is inserted in the capacitor. Estimate the amount of heat lost in the form of heat within the slab over a long period of time till steady state condition is established.
(A) 2C/Q2
(B) 8C/Q2
(C) 8C/3Q2
(D) 8C/7Q2
6. Three identical point charges are placed on the vertices of an equilateral triangle as shown in the fig. At how many places within the triangle ABC electric field vanishes.
(A) One
(B) Two
(C) Three
(D) Four
7. In the circuit are shown two parallel plate capacitors of capacitances C and 2C consisting of plates of identical dimensions. They are connected with an ideal battery of terminal voltage V as shown in the fig. I. Now the capacitor smaller in volume is completely inserted into the other capacitor larger in volume and kept in symmetric position and then connection polarities of the plates are reversed as shown in the fig. II. Identify correct statements?
(A) Charge flown through the battery is 10CV and the battery absorbs energy
(B) Charge flown through the battery is 10CV and the battery delivers energy
(C) Charge flown through the battery is 7CV and the battery absorbs energy
(D) Charge flown through the battery is 7CV and the battery delivers energy
Paragraph Based Questions (9 to 10)
1. A conducting balloon of radius ‘a’ is charged to a potential V0 and held at a large height above the earth surface. The large height of the balloon from the earth ensures that charge distribution on the surface of the balloonremains unaffected by the presence of the earth. It is connected to the earth through a resistance R and a valve in the balloon is opened. The gas inside the balloon escapes from the valve and the size of the balloon decreases. The rate of decrease in radius of the balloon is controlled in such a manner that potential of the balloon remains constant. Assume the electric permittivity of the surrounding air equals to that of free space (?0) and charge cannot leak to the surrounding air.
How much heat is dissipated in the resistance R till the moment radius of the balloon becomes half?
(A) 2 0.5??0aV0
(B) 2 ??0aV0
(C) 2 2??0aV0
(D) 24??0aV0
2. A long straight conductor has uniform cross-section having shape of two identical overlapped circles with their center-to-center spacing a. The material from overlapped section has been removed from entire length of the conductor as shown in the fig. Now the portions on either sides of the y-z plane are split and restacked after coating their surface by a very thin layer of insulating paint.
The portions of composite conductor to the left and the right side of the y-z plane carry uniform currents of current density J in the positive z and the negative z-directions respectively. The permeability of both the conductors is the same as that of vacuum. Which one of the following statements best describes the magnetic field in the empty space inside the composite conductor.
(A) It is non-uniform and points in the positive y-direction everywhere on the y-axis
(B) It is non-uniform and points in the positive y-direction everywhere on the x and y-axis
(C) It is uniform, points everywhere in the positive y-direction and has magnitude Ja2 1 ?0
(D) It has different directions at different points but the same magnitude Ja
3. A plane with a wingspan of 18 m flies horizontally at a speed of 360 km/h. The vertical component of the Earth’smagnetic field strength is about 40 A/m. An electric bulb is connnected between the two extreme ends of the wings
(A) Voltage is induced between the extreme ends and the bulb will glow
(B) Voltage is not induced between the extreme ends and the bulb will not glow
(C) Voltage is not induced between the extreme ends but the bulb will glow
(D) Voltage is induced between the extreme ends but the bulb will not glow
Chemistry
26. For a solid with the following structure, the co-ordination number of the point B is:
(A) 3
(B) 4
(C) 5
(D) 6
Paragraph Based Questions (27 to 28)
In crystalline solids atoms or molecules are arranged in a regular and long range order fashion in a threedimensional pattern. These have sharp melting point, flat faces, sharp edges, bounded by well defined planes. A large number of unit cells, each of which possess a definite geometry bounded by plane faces give rise to the formation of a crystal. A point at the corner of unit cell contributes for 1/8 of each such point to unit cell. A point along an edge contribute for 1/4 of each such point to unit cell. A body centred point contributes for 1 each such points to unit cell. Co-ordination number is the number of nearest neighbours that each ion is surrounded by an oppositely charged ions. Radius of unit cell in sc, fcc and bcc is 2 2
27. A mineral having the formula AB2 crystallizes in the cubic closed packed lattice, with A2+ atoms occupying the lattice points and B– tetrahedral voids. The co-ordination number of A, B and fraction of the tetrahedral sites occupied by B atom respectively are:
(A) 8, 4, 100%
(B) 4, 8, 100%
(C) 8, 6, 57%
(D) 6, 8, 57%
28. An alloy of Cu and gold crystallizes in a cubic lattice in which the gold atoms occupy the lattice points at the corners of cube and copper atoms occupy the centre of each face. The formula of this compound is:
(A) AuCu3
(B) AuCu
(C) AuCu2
(D) CuAu3
29. Consider the fig. and mark the correct option.
(A) Water will move from side (A) to side (B) if a pressure lower than osmotic pressure is applied on piston (B)
(B) Water will move from side (B) to side (A) if a pressure greater than osmotic pressure is applied on piston (B)
(C) Water will move from side (B) to side (A) if a pressure equal to osmotic pressure is applied on piston (B)
(D) Water will move from side (A) to side (B) if a pressure equal to osmotic pressure is applied on piston (A)
30. Two beakers of capacity 500 mL were taken. One of these beakers, labelled as ‘A’, was filled with 400 mL water whereas the beaker lablled ‘B’ was filled with 400 mL of 2 M solution of NaCl. At the same temperature both the beakers were placed in closed containers of same material and same capacity as shown in fig. At a given temperature, which of the following statements is correct about the vapour pressure of pure water and that of NaCl solution?
(A) Vapour pressure in container (A) is more than that in container (B)
(B) Vapour pressure in container (A) is less than that in container (B)
(C) Vapour pressure is equal in both the containers
(D) Vapour pressure in container (B) is twice the vapour pressure in container (A)
Reasoning
Directions for Questions 51 to 55 Answer the questions on the basis of the information given below.
In a coding language, the digits 0 to 9 arerepresented by letters A to J. not necessarily in the same order and IABD × BDI is expressed as:
51. It 5 is represented by D, find the value of H × B × G.
(A) 18
(B) 21
(C) 24
(D) 0
52. Find the value of (HBG) × A ?
(A) IAA
(B) HGE
(C) ABC
(D) 246
53. Find the value of (A+B+C+D+E+F+G+H+I+J)
(A) 45
(B) 44
(C) 55
(D) 54
54. Letter F is represented by which letter?
(A) 2
(B) 9
(C) 0
(D) Can’t be determined
55. Find the value of (IH+I)3
(A) IBGH
(B) IBBI
(C) IABI
(D) IGHA
56. Reversing the digits of 102 increases the number by 99. How many other three-digit numbers increase by 99 when their digits are reversed?
(A) 71
(B) 79
(C) 69
(D) 80
57. The number of people in an auditorium is a perfect square not greater than 400. Which of the following cannot be the ratio of males to females in the auditorium?
(A) 71 : 73
(B) 149 : 251
(C) 101 : 61
(D) 137 : 61
58. A and B run a km race and A wins by 60 seconds. Aand C run a km race and A wins by 375 metres. B and C run a km race and B wins by 30 seconds. Find the time each takes to run a km.
(A) 2 1 2 min, 3 1 2 min, 4 min
(B) 3 min, 4 min, 4 1 2 min
(C) 3 1 2 min., 4 1 2 min, 5 min
(D) 4 1 2 min., 5 1 2 min, 6 min.
59. A @ B ? B is the father of A
A $ B ??A is the uncle of B
A ? B ?? B is the sister-in-law of A
A ! B ? A is the mother of B
A # B ? B is the daughter of A
Using the above information find the possible nature of the relationship between P and T if : R $ P, P @ Q, P ? S, S ! T, U # T
(A) P # T
(B) T $ P
(C) P $ T
(D) P ! T
60. Complete the series 41, 44, 71, 77, 104,_____ (Hint : All numbers are related in some manner to different numbers formed by using digits 2, 4 and 6)
(A) 113
(B) 107
(C) 116
(D) Can’t be determined