Iit – jee screening examination sample paper part 2
Q35.The rate constant for the reaction, 2N2O5 →4NO2 + O2, is 3.0 x 10-5
sec-1. If the rate is 2.40x10-5 mol litre -1 sec -1 , then the concentration of N2O5
(in mol litre -1) is
(a) 1.4
(b) 1.2
(c) 0.04
(d) 0.8
Q36. Propyne and propene can be distinguished by
(a) conc. H2SO4
(b) Br2 in CCI4
(c) Dil. KmmO4
(d) AgNO3 in ammonia
Q36. At 1000 C and 1 atm, if the density of liquid water is 1.0 g cm-3 and
that of water vapor is 0.0006 g cm-3, then the volume occupied by water
molecules in 1 litre of steam at that temperature is
(a) 6 cm3
(b) 60 cm3
(c) 0.6 cm3
(d) 0.06 cm3
Q37. Electrolytic reduction of alumina to aluminium by Hall-Heroult
process is carried out
(a) in the presence of NaCI.
(b) in the presence of fluorite.
(c) in the presence of cryolite which forms a melt with lower melting
temperature.
(d) in the presence of cryolite which forms a melt with lower melting
temperature.
Q38. The number of P-O-P bonds in cyclic metaphosphoric acid is
(a) Zero
(b) Two
(c) Three
(d) Four
Q39. The order of reactivities of the following alky halides for a SN2
reaction is
(a) RFRCIRBrRI
(b) RFRBrRCIRI
(c) RCIRBrRFRI
(d) RIRBrRCIRF
Q40. 60 Molecular shapes of SF4, CF4 and XeF4 are
(a) The same, with 2,0 and 1 lone pairs of electrons respectively.
(b) The same, with 1,1 and 1 lone pairs of electrons respectively.
(c) Different, with 0,1 and 2 lone pairs of electrons respectively.
(d) Different, with 1,0 and 2 lone pairs of electrons respectively.
Q41. The hybridization of atomic orbitals of nitrogen in in NO+
2 , NO-
3 and
NH+
4 are
(a) sp2, sp3 and sp2 respectively.
(b) Sp2, sp2 and sp3 respectively
(c) Sp2, sp and sp3 respectively.
(d) Sp2, sp3 and sp respectively.
Q42. Which of the following has the most acidic hydrogen?
(a) 3-Hexanone
(b) 2,4-hexanedione
(c) 2,5-hexanedione
(d) 2,3-hexanedione
Q43. The correct order of acidic strength is
(a) Cl2O7SO2P4O10
(b) CO2N2O5SO3
(c) Na2OMgOAL2O3
(d) K2OCaOMgO
Q44. A wind-powered generator converts wind energy into electrical energy.
Assume that the generator converts a fixed fraction of the wind energy
intercepted by its blades into electrical energy. For wind speed, v, the
electrical power output will be proportional to
(a) v
(b) v2
(c) v3
(d) v4
Q45. Consider an infinite geometric series with first term a and common
ratio r. If its sum is 4 and the second term is ¾, then
7 3
(a) a= r =
4 ’ 7
3
(b) a= 2, r=
8
3 1
(c) a= r=
2 ’ 2
1
(d) a= 3, r =
4
x
Q46. Let g (x) = 0 (t)dt, where f is such that ½ ≤1 for t [0,1] and 0 ≤f
(t) ≤½ for t [1,2] Then g (2) satisfies the inequality,
3
(a) - ≤g (2) ½
2
(b) 0 ≤g (2) 2
3 5
(c) g (2) ≤
2 2
(c) 2g (2) 4
Q47. In a triangle ABC, let ∠C=/2. If r is the in radius and R is the circum
radius of the triangle, then 2(r+R) is equal to
(a) a+b
(b) b+c
(c) c+a
(d) a+b+c
Q48. How many different nine digit numbers can be formed from the
number 223355888 by rearranging its digits so that the odd digits occupy
even positions?
(a) 16
(b) 36
(c) 60
(d) 180
Q49. If arg (z)0, then arg(-z)-arg(z)=
(a)
(b) -
(c) -
2
(d)
2
Q50. Let PS be the median of the triangle with vertices P(2,2), Q(6,-1) and R
(7,3). The equation of the line passing through (1,-1) and parallel to PS is
(a) 2x-9y-7=0
(b) 2x-9y-11=0
(c) 2x+9y-11+0
(d) 2x+9y+7=0
Q51. A pole stands vertically inside a triangular park ABC. If the angle of
elevation of the top of the pole from each corner of the park is same, then in
ABC the foot of the pole is at the
(a) centroid
(b) circumcentre
(c) incentre
(d) orthocenter
Q52.If .and (), are the roots of the equation x²+bx+c=0, where cb,
then
(a) 0
(b)
(c) 0
(d) 0
Q53. Let f: R→R be any function. Define g: R→R by g (x)=f(x)for all x.
Then g is
(a) onto if is onto
(b) one-one if f is one-one
(c) continuous if f is continuous
(d) Differentiable if f is differentiable.
Q54. The domain of definition of the function y(x) given by the equation
2x+2y=2 is
(a) 0x≤1
(b) 0 ≤x ≤1
(c) -∞x ≤0
(d) - ∞x 1
Q55. x2+y2 = a, then
(a) yy′′-2(y′)2 +1 =0
(b) yy′′+ (y′)2 +1=0
(c) yy′′-(y′)2 -1= 0
(d) yy′′+2(y′)2 +1=0
Q56. If a,b,c,d, are positive real numbers such that a+b+c+d=2, then
M=(a+b) (c+d) satisfies the relation
(a) 0≤M ≤1
(b) 1 ≤M ≤2
(c) 2 ≤M ≤3
(d) 3 ≤M ≤4
Q57. If the system of equations x-ky-z=0, kx-y-z-=0, x+y-z=0 has a nonzero
solution, then the possible values of k are
(a) -1,2
(b) 1,2
(c) 0,1
(d) -1,1
Q58. The triangle PQR is inscribed in the circle x2+y2=25. If Q and R have
co-ordinates (3,4) and (-4,3) respectively, then ∠QPR is equal to
(a)
2
(b)
3
(c)
4
(d)
6
Q60. In a triangle ABC, 2ac sin ½ (A-B+C)=
(a) a2+b2-c2
(b) c2+a2-b2
(c) b2-c2-a2
(d) c2-a2-b2
Q61. Consider the following statements:
S: Both sin x and cos x are decreasing functions in the interval (/2,).
R: If a differentiable function decreases in an interval (a,b), then its
derivative also decreases in (a,b) Which of the following is true?
(a) Both S and R are wrong
(b) Both S and R are correct, but R is not the correct explanation of S.
(c) S is correct and R is the correct explanation of S.
(d) S is the correct and R is wrong
Q62. Let f(x) = ex (x-1)(x-2) dx. Then f decreases in the interval
(a) (-∞,2)
(b) (-2,-1)
(c) (1,2)
(d) (2,+∞)
Q63. If the circles x2+y2+2x+2ky+6=0 and x2+y2+2ky+k=0 intersect
orthogonally, then k is
3
(a) 2 or -
2
3
(b) -2 or -
2
3
(c) 2 or
2
3
(d) -2 or
2
Q64. If the vectors a, b, and c form the sides BC, CA, and AB respectively,
of a triangle ABC, then
→→→→→→
(a) a . b + b . c + c . a =0
(b) a x b = b x c = c
(c) a . b = b . c = c . a
(d) a x b + b x c + c x a = 0
Q65. If the normal to the curve y = f (x) at the point (3.4) makes and angle
3/4 with the positive x-axis, then f’ (3)=
(a) -1
(b) -¾
4
(c)
3
(d) 1
Q66. Let the vectors a , b , c and d be such that (a x b ) x ( c x d ) = 0.
Let p1 and P2 be planes determined by the pairs of vectors a , b and c , d
respectively. Then the angle between P1 and P2 is
(a) 0
(b)
4
(c)
3
(d)
2
Q67. Let f(x) = xfor 0x≤2 then at x = 0, f has
1 for x = 0
(a) a local maximum
(b) no local maximum
(c) a local minimum
(d) no extremum
→→→
Q68. If a , b and c are unit coplanar vectors, then the scalar triple product
→→→→→→
2 a – b 2 b – c 2 c - a =
(a) 0
(b) 1
(c) - √3
(d) √3
Q69. If ba, then the equation (x-a) (x-b) –1=0, has
(a) both roots in [a, b]
(b) both roots in (-∞,a)
(c) both roots in (b, +∞)
(d) one root in (-∞,a) and other in (b,∞)
Q70. For the equation 3x2+px+3=0, p0, if one of the roots is square of the
other, then p is equal to
(a) 1/3
(b) 1
(c) 3
(d) 2/3
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