1
IIT-JEE 2008 Paper 2 Offline
MCQ (Single Correct Answer)
+3
-1

In hexagonal systems of crystals, a frequently encountered arrangement of atoms is described as a hexagonal prism. Here, the top and bottom of the cell are regular hexagons and three atoms are sandwiched in between them. A space-filling model of this structure, called hexagonal close-packed (HCP), is constituted of a sphere on a flat surface surrounded in the same plane by six identical spheres as closely as possible. Three spheres are then placed over the first layer so that they touch each other and represent the second layer. Each one of these three spheres touches three spheres of the bottom layer. Finally, the second layer is covered with a third layer that is identical to the bottom layer in relative position. Assume radius of every sphere to be 'r'.

The empty space in this HCP unit cell is :

A
74%
B
47.6%
C
32%
D
26%
2
IIT-JEE 2008 Paper 2 Offline
MCQ (Single Correct Answer)
+4
-1

Match the compounds in Column I with their characteristic test(s)/reaction(s) given in Column II. Indicate your answer by darkening the appropriate bubbles of the 4 $$\times$$ 4 matrix given in the ORS.

Column I Column II
(A) IIT-JEE 2008 Paper 2 Offline Chemistry - Compounds Containing Nitrogen Question 5 English 1 (P) sodium fusion extract of the compound gives Prussian blue colour with FeSO$$_4$$.
(B) IIT-JEE 2008 Paper 2 Offline Chemistry - Compounds Containing Nitrogen Question 5 English 2 (Q) gives positive FeCl$$_3$$ test.
(C) IIT-JEE 2008 Paper 2 Offline Chemistry - Compounds Containing Nitrogen Question 5 English 3 (R) gives white precipitate with AgNO$$_3$$.
(D) IIT-JEE 2008 Paper 2 Offline Chemistry - Compounds Containing Nitrogen Question 5 English 4 (S) reacts with aldehydes to form the corresponding hydrazone derivative.

A
A $$\to$$ (r, s); B $$\to$$ (p); C $$\to$$ (p, q); D $$\to$$ (s)
B
A $$\to$$ (r, s); B $$\to$$ (p, q); C $$\to$$ (p, q, r); D $$\to$$ (p, s)
C
A $$\to$$ (r); B $$\to$$ (p, q); C $$\to$$ (p, r); D $$\to$$ (p, s)
D
A $$\to$$ (r); B $$\to$$ (p); C $$\to$$ (p, q, r); D $$\to$$ (s)
3
IIT-JEE 2008 Paper 2 Offline
MCQ (Single Correct Answer)
+4
-1

Match the conversions in Column I with the type(s) of reaction(s) given in Column II. Indicate your answer by darkening the appropriate bubbles of the 4 $$\times$$ 4 matrix given in the ORS.

Column I Column II
(A) PbS $$\to$$ PbO (P) roasting
(B) CaCO$$_3$$ $$\to$$ CaO (Q) Calcination
(C) ZnS $$\to$$ Zn (R) carbon reduction
(D) Cu$$_2$$S $$\to$$ Cu (S) self reduction

A
A $$\to$$ (p); B $$\to$$ (q); C $$\to$$ (p); D $$\to$$ (s)
B
A $$\to$$ (q); B $$\to$$ (p); C $$\to$$ (r); D $$\to$$ (p, s)
C
A $$\to$$ (p); B $$\to$$ (q); C $$\to$$ (p, r); D $$\to$$ (p, s)
D
A $$\to$$ (p); B $$\to$$ (q, s); C $$\to$$ (p, r); D $$\to$$ (p)
4
IIT-JEE 2008 Paper 2 Offline
MCQ (Single Correct Answer)
+3
-1
A particle P stats from the point $${z_0}$$ = 1 +2i, where $$i = \sqrt { - 1} $$. It moves horizontally away from origin by 5 unit and then vertically away from origin by 3 units to reach a point $${z_1}$$. From $${z_1}$$ the particle moves $$\sqrt 2 $$ units in the direction of the vector $$\hat i + \hat j$$ and then it moves through an angle $${\pi \over 2}$$ in anticlockwise direction on a circle with centre at origin, to reach a point $${z_2}$$. The point $${z_2}$$ is given by
A
6 + 7i
B
-7 + 6i
C
7 + 6i
D
- 6 + 7i
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