Iitian’s Tapasya Talent Search Examination Class XII Model Question Paper : iitianstapasya.com
Name of the Organization : IITIAN Tapasya
Exam : Talent Search Examination 2018
Category : Class X
Document Type : Model Question Paper
Year : 2018
Website : iitianstapasya.com/talent-search/previous-question-paper
Download Question Paper : https://www.pdfquestion.in/uploads/23592-ClassXII.pdf
Iitian’s Tapasya Talent Search Exam XII Question Paper
** Iitian’S Tapasya Talent Search Exam is an endeavor to identify the talented student and nurture them to reach the peak of their potential.
Related : Iitians Tapasya Talent Search Examination Class X Model Question Paper : www.pdfquestion.in/23585.html
Syllabus For Class XII
** Complete NCERT syllabus of Class 12th
Instruction
[A] General :
1. Attempt ALL the questions. Answer have to be marked on the OMR sheets
2. This question paper contains 45 questions.
3. The question paper consists of THREE Parts Physics (Q.No. 1 to 15), Chemistry (Q.No.16 to 30), Mathematics (Q.No. 31 to 60),
4. Blank spaces are provided at the bottom of each page for rough work. No additional sheets will be provided for rough work.
5. Balnk paper, clipboard, log tabes, silde rules, calculators, cellular phones, pagers and electronic gadgets in any form are NOT allowed.
6. Do not Tamper / multilate the OMR sheet or this booklet.
7. Do not break the seals of the question-paper booklet before instructed to do so by the invigilator.
8. SUBMIT the OMR sheet to the invigilator after completing the test & take away the test paper with you.
[b] Filling of OMR Sheet :
9. In all the parts, each question will have 4 choices out of which only one choice is correct
10. Use only Black/Blue ball point pen for filling the OMR sheet.
11. On the OMR sheet, darken the appropriate bubble for each character of your name, Registration No., Phone No. etc.
[C] Marking Scheme :
12. For each correct response you will be awarded 5 marks and zero mark in all other cases
13. There is no negative marking in STAGE-1 exam.
Part I – Physics
** Single Correct Answer Type
** This section contains (1-15) multiple choice questions.
** Each questions has four choices (A), (B), (C) and (D) out of which ONLY ONE is correct.
Q.1 A simple pendulum has a length l, mass of bob m. The bob is given a charge q coulomb. The pendulum is suspended between the vertical plates of charged parallel plate capacitor. Which produces a uniformelectric field of strength E between the plates, then assuming that it does not collide with the plate calculate the time period T =
Q.2 A charged particle of charge q and mass m is released from rest in an uniform electric field E. Neglecting the effect of gravity, the kinetic energy of the charged particle after time ‘t’ seconds is
Q.3 A charge ‘ q ‘ is placed at the centre of a conducting spherical shell of radius R, which is given a charge Q. An external charge Q’ is also present at distance R’ (R’ > R) from ‘ q ‘. Then the resultant field will be best represented for region r < R by: [ where r is the distance of the point from q ]
Q.4 Two spherical conductors of radii 4 m and 5 m are charged to the same potential. If s1 and s2 are the respective values of the surface charge densities on the two conductors, then the ratio 2 1 s is
Q.5 For an infinite line of charge having charge density ? lying along x-axis, the work required in moving charge from C to A along arc CA is
Q.6 Six charges of magnitude + q and –q are fixed at the corners of a regular hexagon of edge length a as shown in the figure. The electrostatic interaction energy of the charged particles is
Q.7 A rectangular carbon block has dimensions 1.0 cm × 1.0 cm × 50 cm. Resistances are measured, first across two square ends and then across two rectangular ends, respectively. If resistivity of carbon is 3.5 × 10–5 O-m, then values of measured resistances respectively are
(A) 17.5 × 10–2 O, 7 × 10–5 O
(B) 7 × 10–5 O, 7.5 × 10–2 O
(C) 17.5 × 10–4 O, 7 × 10–7 O
(D) 7.5 O, 7 × 10–2 O
Q.8 A cell of emf E having an internal resistance r is connected to an external resistance R. The potential difference V across the resistance R varies with R as shown in figure by the curve :
(A) A
(B) B
(C) C
(D) D
Q.9 In the ladder network shown, current through the resistor 3 O is 0.25 A. The input voltage ‘V’ is equal to
(A) 10 V
(B) 20 V
(C) 5 V
(D) 7.5 V
Q.12 In the figure shown a current ?1 is established in the long straight wire AB. Another wire CD carrying current ?2 is placed in the plane of the paper. The line joining the ends of this wire is perpendicular to the wire AB. The resultant force on the wire CD is: C
(A) zero
(B) towards negative x-axis
(C) towards positive y-axis
(D) None of these
Q.13 A person’s eye level is 1.5 m. He stands in front of a 0.3m long plane mirror which is 0.8 m above the ground. The length of the image he sees of himself is:
(A) 1.5m
(B) 1.0m
(C) 0.8m
(D) 0.6m
Q.14 How much water should be filled in a container of 21 cm in height, so that it appears half filled (of total height of the container) when viewed from the top of the container ? (Assume near normal incidence and µw=4/3)
(A) 8.0 cm
(B) 10.5 cm
(C) 12.0 cm
(D) 14.0 cm
Part II – Chemistry
** Single Correct Answer Type
** This section contains (16-30) multiple choice questions.
** Each questions has four choices (A), (B), (C) and (D) out of which ONLY ONE is correct.
Q.16 The tetrahedral voids formed by ccp arrangement of Cl– ions in rock salt structure are
(A) Occupied by Na+ ions
(B) Occupied by Cl– ions
(C) Occupied by either Na+ or Cl– ions
(D) Vacant
Q.17 An ionic compound AB has ZnS type structure. If the radius A + is 22.5 pm, then the ideal radius of B– would be
(A) 54.35 pm
(B) 100 pm
(C) 145.16 pm
(D) None of these
Q.18 Na r + = 95 pm and Cl r – =181 pm in NaCl (rock salt) structure. What is the shortest distance between Na+ ions?
(A) 778.3 pm
(B) 276 pm
(C) 195.7 pm
(D) 390.3 pm
Q.20 The Van’t Hoff factor for a dilute aqueous solution of glucose is
(A) zero
(B) 1.0
(C) 1.5
(D) 2.0
Q.21 The vapour pressure of a solution of a non-volatile electrolyte B in a solvent A is 95% of the vapour pressure of the solvent at the same temperature. If the molecular weight of the solvent is 0.3 times the molecular weight of solute, the weight ratio of the solvent and solute are
(A) 0.15
(B) 5.7
(C) 0.2
(D) 4.0
Q.22 Assuming each salt to be 90 % dissociated, which of the following will have highest boiling point?
(A) Decimolar Al2(SO4)3
(B) Decimolar BaCl
(C) Decimolar Na2SO4
(D) A solution obtained by mixing equal volumes of (B) and (C)
Q.23 Which of the following plots represents an ideal binary mixture?
(A) Plot of Ptotal v/s 1/XB is linear (XB = mole fraction of ‘B’ in liquid phase).
(B) Plot of Ptotal v/s YA is linear (YB = mole fraction of ‘A’ in vapour phase)
(C) Plot of total 1 P v/s YA is linear
(D) Plot of total 1 P v/s YB is non linear
Q.24 FeCl3 on reaction with K4[Fe(CN)6] in aqueous solution gives blue colour. These are separated by a semipermeable membrane AB as shown. Due to osmosis there is
(A) blue colour formation in side X.
(B) blue colour formation in side Y.
(C) blue colour formation in both of the sides X and Y.
(D) no blue colour formation.
Q.25 During depression of freezing point in a solution, the following are in equilibrium
(A) liquid solvent-solid solvent
(B) liquid solvent-solid solute
(C) liquid solute-solid solute
(D) liquid solute-solid solvent
Q.26 When HgI2 is added to an aqueous solution of Potassium iodide, the freezing point
(A) decreases
(B) Increases
(C) Remains the same
(D) Cannot predict
Q.29 To convert cyclononatetraene in aromatic ion, the process needed is
(A) addition of one more p-bond
(B) addition of two more p-bond
(C) loss of H? from sp3 – hybridized carbon
(D) loss of H? from sp2 – hybridized carbon
Part III – Mathematics
** Single Correct Answer Type
** This section contains (31-45) multiple choice questions.
** Each questions has four choices (A), (B), (C) and (D) out of which ONLY ONE is correct.
Q.312 If 0 < cos–1 x < 1 and 1 + sin (cos–1 x) + sin2(cos–1 x) + sin3 (cos–1 x) + …….. 8 = 2, then x equals
(A) 3/2
(B) 1/2
(C) 3/2
(D) 2 /3
Q.33 Let f be a function satisfying f (xy) =f(x) y for all positive real numbers x and y. If f (30) = 20, then the value of f (40) is
(A) 15
(B) 20
(C) 40
(D) 60
Q.38 The angle between the tangent lines to the graph of the function f (x) = 2 ?(2t – 5)dt at the points where the graph cuts the x-axis is
(A) 6 p
(B) 4 p
(C) 3 p
(D) 2 p
Q.39 A and B are two given matrices such that the order of A is 3×4 , if A’ B and BA ‘ are both defined then
(A) order of B’ is 3 × 4
(B) order of B’A is 4 × 4
(C) order of B’A is 3 × 3
(D) B’A is undefined
Q.40 If f’(c) changes sign from negative to positive as x passes through c, then –
(A) f(c) is neither a maximum nor a minimum value of f(x)
(B) f(c) is a maximium value of f(x)
(C) f(c) is a minimum value of f(x)
(D) f(c) is either a maximum or a minimum value of f(x)