IIT-JEE 2009 Paper 1 Offline | JEE Advanced Year Wise Previous Years Questions

IIT-JEE 2009 Paper 1 Offline

MCQ (Single Correct Answer)

-0

Match each of the diatomic molecules in Column I with its property/properties in Column II:

	Column I		Column II
(A)	$${B_2}$$	(P)	Paramagnetic
(B)	$${N_2}$$	(Q)	Undergoes oxidation
(C)	$$O_2^ - $$	(R)	Undergoes reduction
(D)	$${O_2}$$	(S)	Bond order $$\ge$$ 2
		(T)	Mixing of $$s$$ and $$p$$ orbitals

$$\mathrm{(A)\to(P),(Q),(R),(T);(B)\to(S),(T);(C)\to(P),(Q);(D)\to(P),(Q),(S)}$$

$$\mathrm{(A)\to(P),(S),(R),(T);(B)\to(S),(T);(C)\to(P),(Q);(D)\to(P),(T),(S)}$$

$$\mathrm{(A)\to(Q),(R),(T);(B)\to(P),(T);(C)\to(P),(Q);(D)\to(T),(Q),(S)}$$

$$\mathrm{(A)\to(P),(R),(T);(B)\to(Q),(T);(C)\to(S),(Q);(D)\to(P),(Q),(S)}$$

IIT-JEE 2009 Paper 1 Offline

MCQ (Single Correct Answer)

-1

Match each of the compounds in Column I with its characteristic reaction(s) in Column II.

	Column I		Column II
(A)	$$C{H_3}C{H_2}C{H_2}CN$$	(P)	Reduction with $$Pd - C/{H_2}$$
(B)	$$C{H_3}C{H_2}OCOC{H_3}$$	(Q)	Reduction with $$SnC{l_2}/HCl$$
(C)	$$C{H_3} - CH = CH - C{H_2}OH$$	(R)	Development of foul smell on treatment with chloroform and alcoholic KOH
(D)	$$C{H_3}C{H_2}C{H_2}C{H_2}N{H_2}$$	(S)	Reduction with diisobutylaluminium hydride (DIBAL-H)
		(T)	Alkaline hydrolysis

$$\mathrm{(A)\to(P),(Q),(S),(T);(B)\to(Q),(T);(C)\to(P);(D)\to(S)}$$

$$\mathrm{(A)\to(Q), (R), (S),(T);(B)\to(S),(T);(C)\to(P);(D)\to(R)}$$

$$\mathrm{(A)\to(P),(R),(S),(T);(B)\to(S),(T);(C)\to(P);(D)\to(R), (T)}$$

$$\mathrm{(A)\to(P),(Q),(S),(T);(B)\to(S),(T);(C)\to(P);(D)\to(R)}$$

IIT-JEE 2009 Paper 1 Offline

MCQ (Single Correct Answer)

-1

Let $$z = \,\cos \,\theta \, + i\,\sin \,\theta $$ . Then the value of $$\sum\limits_{m = 1}^{15} {{\mathop{\rm Im}\nolimits} } ({z^{2m - 1}})\,at\,\theta \, = {2^ \circ }$$ is

$${1 \over {\sin \,{2^ \circ }}}$$

$${1 \over {3\sin \,{2^ \circ }}}$$

$${1 \over {2\sin \,{2^ \circ }}}$$

$${1 \over {4\sin \,{2^ \circ }}}$$

IIT-JEE 2009 Paper 1 Offline

MCQ (Single Correct Answer)

-1

Let $$z = x + iy$$ be a complex number where x and y are integers. Then the area of the rectangle whose vertices are the roots of the equation $$\overline z {z^3} + z{\overline z ^3} = 350$$ is