IIT-JEE 2010 - Career Point

11. Column-I Column-II
(Ionic species)
(Shapes)
+
(A) XeF 5 (P) Tetrahedral
–
(B) SiF 5 (Q) Square planar
+
(C) AsF 4 (R) Trigonal bipyramidal
–
(D) ICl 4 (S) Square pyramidal
(T) Octahedral
This section contains 8 questions (Questions 12 to 19).
The answer to each of the questions is a SINGLE-
DIGIT INTEGER, ranging from 0 to 9. The
appropriate bubbles below the respective question
numbe rs in the OMR have to be darkened. For
example, if the correct answers to question numbers X,
Y, Z and W (say) are 6, 0, 9 and 2, respectively, then
the correct darkening of bubbles will look like the
following :
X Y Z W
0
1
2
3
4
5
6
7
8
9
0
1
2
3
4
5
6
7
8
9
12. How much volume (in mL) 0.001 M HCl should we
add to 10 cm 3 of 0.001 M NaOH to change its pH by
one unit ?
13. The stopcock, connecting the two bulbs of volumes
5 litres and 10 litres containing an ideal gas at 9 atm
and 6 atm respectively, is opened. What is the final
presure (in atm) in the two bulbs if the temperature
remained the same ?
14. An acid type indicator, HIn differs in colour from its
conjugate base (In – ). The human eye is sensitive to
colour differences only when the ratio [In – ] / [HIn] is
greater than 10 or smaller than 0.1. What should be
the minimum change in the pH of the solution to
osberve a complete colour change ? (K a = 1.5 × 10 –5 )
15. What is the sum of total electron pairs (b.p. + l.p.)
present in XeF 6 molecule ?
0
1
2
3
4
5
6
7
8
9
0
1
2
3
4
5
6
7
8
9
16. The number of geometrical isomers of
CH 3 CH=CH–CH=CH–CH=CHCl is.
17. At 200ºC, the velocity of hydrogen molecule is
2.0 × 10 5 cm/sec. In this case the de-Broglie
wavelength (in Å) is about.
18. The equivalent weight of a metal is 4.5 and the
molecular weight of its chloride is 80. The atomic
weight of the metal is.
19. No. of π bond in the compound H 2 CSF 4 is.
MATHEMATICS
Questions 1 to 4 are multiple choice questions. Each
question has four choices (A), (B), (C) and (D), out of
which ONLY ONE is correct.
1. If 0 < r < s ≤ n and n P r = n P s , then value of r + s is -
(A) 2n – 2 (B) 2n – 1
(C) 2 (D) 1
2. If sin x + sin 2 x + sin 3 x = 1, then cos 6 x – 4 cos 4 x +
8 cos 2 x is equal to -
(A) 0 (B) 2 (C) 4 (D) 8
3. If x is real, and
2
x − x + 1
k = then
2
x + x + 1
(A) 1/3 ≤ k ≤ 3 (B) k ≥ 5
(C) k ≤ 0
(D) none of these
4. A flagstaff stands in the centre of a rectangular field
whose diagonal is 1200 m, and subtends angles 15º
and 45º at the mid points of the sides of the field. The
height of the flagstaff is -
(A) 200 m (B) 300 2 + 3 m
(C) 300 2 − 3 m (D) 400 m
Questions 5 to 9 are multiple choice questions. Each
question has four choices (A), (B), (C) and (D), out of
which MULTIPLE (ONE OR MORE) is correct.
5. If a, b, c are the sides of the ∆ABC and a 2 , b 2 , c 2 are
the roots of x 3 – px 2 + qx – k = 0, then
cos A cos B cosC
p
(A) + + =
a b c 2 k
4q − p
(B) a cos A + b cos B + c cos C =
2 k
2p∆
(C) a sin A + b sin B + c sin C =
k
(D) sin A sin B sin C =
∆
k
8 3
6. The coordinates of the feet of the perpendiculars
from the vertices of a triangle on the opposite sides
are (20, 25), (8, 16) and (8, 9). The coordinates of a
vertex of the triangle are -
(A) (5, 10) (B) (50, –5)
(C) (15, 30) (D) (10, 15)
2
XtraEdge for IIT-JEE 67 DECEMBER 2009