IIT JEE Papers

ShareFacebookTwitterSMS

THIS PAGE DOESN'T HOLD SIGNIFICANCE ANY MORE, PLEASE VISIT JEE ADVANCED PAGE.

IIT JEE Question Paper with Solutions

Paper 1

Q. Given that the abundances of isotopes 54Fe, 56Fe and 57Fe are 5%, 90% and 5%, respectively, the atomic mass of Fe is
(A) 55.85
(B) 55.95
(C) 55.75
(D) 56.05

Q. The term that corrects for the attractive forces present in a real gas in the vander Waals equation is
(A) nb
(B) an2/V2
(C) -an2/V2
(D) -nb

Paper 2

Q. The spin only magnetic moment value (in Bohr magneton units) of Cr(CO)6 is
(A) 0
(B) 2.84
(C) 4.90
(D) 5.92

Q. Among the following, the state function(s) is (are)
(A) Internal energy
(B) Irreversible expansion work
(C) Reversible expansion work
(D) Molar enthalpy

IIT JEE 2008 Question Paper with Solutions

Paper 1

Q. Consider the two curves
C1 : y2 = 4x
C2 : x2 + y2 -6x +1 = 0
Then,
(A) C1 and C2 touch each other only at one point
(B) C1 and C2 touch each other exactly at two points
(C) C1 and C2 intersect (but do not touch) at exactly two points
(D) C1 and C2 neither intersect nor touch each other

Q. Let a and b be non-zero real numbers. Then, the equation
(ax2 + by2 + c) (x2 -5xy + 6y2) = 0
represents
(A) four straight lines, when c = 0 and a, b are of the same sign.
(B) two straight lines and a circle, when a = b, and c is of sign opposite to that of a.
(C) two straight lines and a hyperbola, when a and b are of the same sign and c is
of sign opposite to that of a.
(D) a circle and an ellipse, when n and b are of the same sign and c is of sign opposite to that of a.

Paper 2

Q. A particle P starts from the point zo=1 + 2i, where i = v-1. It moves first horizontally away from origin by 5 units and then vertically away from origin by 3 units to reach a point z1. From z1 the particle moves v2 units in the direction of
the vector i + j and then it moves through an angle /2 in anticlockwise direction on a
circle with centre at origin, to reach a point z2 . The point z2 is given by
(A) 6 + 7i
(B) -7 + 6i
(C) 7 + 6i
(D) -6 + 7i

Q. An experiment has 10 equally likely outcomes. Let A and B be two non-empty-events of the experiment. If A consists of 4 outcomes, the number of outcomes that B must have so that A and B are independent, is
(A) 2, 4 or 8
(B) 3, 6 or 9
(C) 4 or 3
(D) 5 or 10

IIT JEE 2007 Question Paper with Solutions

Paper 1

Q. A resistance of 2 ohm is connected across one gap of a metre-bridge (the length of the wire is 100 cm) and an unknown resistance, greater than 2 ohm, is connected across the other gap. When these resistances arc inter changed, the balance point shifts by 20 cm. Neglecting any corrections, the unknown resistance is :
(A) 3 ohm
(B) 4 ohm
(C) 5 ohm
(D) 6 ohm

Q. In an experiment to determine the focal length (f) of a concave mirror by the u-v method, a student places the object pin A on the principal axis at a distance x from the pole P. The student looks at the pin and its inverted image from a distance keeping his/her eye in line with PA. When the student shifts his/her eye towards left, the image appears to the right of the object pin Then,
(A) x<f
(B) f<x<2f
(C) x=2f
(D) x>2f

Paper 2

Q. In the experiment to determine the speed of sound using a resonance column,
(A) prongs of the tuning fork are kept in a vertical plane.
(B) prangs of the tuning fork are kept in a horizontal plane.
(C) in one of the two resonances observed, the length of the resonating air column is close to the wavelength of sound in air.
(D) in one of the two resonances observed, the length of the resonating air column is close to half of the wavelength of sound in air.

Q. A student performs an experiment to determine the Young’s modulus of a wire, exactly 2 m long, by Searle’s method. In a particular reading, the student measures the extension in the length of the wire to be 0.8 mm with an uncertainty of ±0.05 mm at a load of exactly 1.0 kg. The student also measures the diameter of the wire to be 0.4 mm with an uncertainty of + 0.01 mm. Take g = 9.8 m/s2 (exact). The Young’s modulus obtained from the reading is
(A) (2.0 ± 0.3) x 1011 N/m2
(B) (2.0 ± 0.2) x 1011 N/m2
(C) (2.0 ± 0.1) x 1011 N/m2
(D) (2.0 ± 0.05) x 1011 N/m2

Resources:

  • IIT-JEE 2009 (including solutions) : Paper 1 (328kb) | Paper 2 (306kb)
  • IIT-JEE 2008 (including solutions) : Paper 1 (385kb) | Paper 2 (432kb)
  • IIT-JEE 2007 (including solutions) : Paper 1 (298kb) | Paper 2 (306kb)
  • IIT-JEE 2006 (including solutions) : Paper 1 (871kb)
  • IIT-JEE 2005 (including solutions) : Paper 1 (1.19mb)
  • IIT-JEE 2004 : Paper 1 (1.62mb) | Solutions (1.04mb)
  • IIT-JEE 2003 : Paper 1 (1.34mb) | Solutions (794kb)
  • IIT-JEE 2002 : Paper 1 (1.51mb) | Solutions (797kb)
  • IIT-JEE 1997 : Paper 1 (490kb)

Note : Papers are in PDF Format, which requires Adobe Reader to run.

More on IIT JEE

Entrance Exams

ACDS 2013 | AFMC 2013 | AIBE 2013 | AICET 2013 | AIEEA 2013 | AIEEE 2013 | AIIMS 2013 | AIMS 2013 | AIPGMEE 2013 | AIPMT 2013 | AIJS 2013 | AIOAT 2013 | AMRITA 2013 | AMU 2013 | APTET 2013 | ARCHITECTURE 2013 | ARMPMC UP 2013 | ASSAM JAT 2013 | ASSO CET 2013 | ATMA 2013 | BANASTHALI 2013 | BCECE 2013 | BEEE 2013 | BHU 2013 | BINC 2013 | BITSAT 2013 | BVP EEE 2013 | BVPEEE 2013 | CA CPT 2013 | CAT 2013 | CATE 2013 | CBEE 2013 | CEED 2013 | CEEP 2013 | CENTAC JET 2013 | CET 2013 | CG PET 2013 | CIPET JEE 2013 | CLAT 2013 | CMAT 2013 | COMEDK 2013 | COMEDK PGET 2013 | CPT 2013 | CSAT 2013 | CTET 2013 | CUCET 2013 | CUSAT 2013 | DAIICT 2013 | DNB CET 2013 | DTU 2013 | DUPGMET 2013 | DUMET 2013 | EAMCET 2013 | EDCET 2013 | ENAT 2013 | ENGINEERING 2013 | ESE 2013 | G2CET 2013 | GAT 2013 | GATE 2013 | GBTU 2013 | GCET 2013 | GMAT 2013 | GPAT 2013 | GPT 2013 | GRE 2013 | GUJCET 2013 | HPMT 2013 | HP CPMT 2013 | HSEE 2013 | IAS 2013 | IBSAT 2013 | ICET 2013 | ICFAI 2013 | ICWA 2013 | IELTS 2013 | IFS 2013 | IIEST 2013 | IIFT 2013 | IISC 2013 | IISER 2013 | IIT JAM 2013 | IITJEE 2013 | ILI CAT 2013 | ILSAT 2013 | IPCC 2013 | IPS 2013 | IPUCET 2013 | ISAT 2013 | ISI 2013 | IUET 2013 | JK BPEE CET 2013 | JCECE 2013 | JEE 2013 | JEST 2013 | JET 2013 | JET ABM 2013 | JIIT 2013 | JIPMER 2013 | JKCET 2013 | JMET 2013 | JMI 2013 | JSSU UGET 2013 | KAIET 2013 | KCET 2013 | KEAM 2013 | KEE 2013 | KERALA CEE 2013 | KIITEE 2013 | KLE PGAIET 2013 | KLEE 2013 | KLEU AIET 2013 | KLSAT 2013 | KRLMPCA 2013 | LAW 2013 | LAWCET 2013 | LNMIIT 2013 | LSAT 2013 | MAH CET 2013 | MAHER 2013 | MANAGEMENT 2013 | MANIPAL UGET 2013 | MAT 2013 | MBA CET 2013 | MBA 2013 | MCA 2013 | MEDICAL 2013 | MGIMS 2013 | MGM CET 2013 | MHT CET 2013 | MMUCET 2013 | MP DMAT 2013 | MP PET 2013 | NAT 2013 | NATA 2013 | NCHMCT JEE 2013 | NDA 2013 | HTTP: WWW.ICBSE.COM NEET 2013 | NEIGRIHMS 2013 | NEE 2013 | NEST 2013 | NET 2013 | NIFT 2013 | NIMCET 2013 | NLU 2013 | NMAT 2013 | NUPGET 2013 | OCET 2013 | OPENDEN 2013 | OPENMAT 2013 | OJEE 2013 | PECET 2013 | PGCET 2013 | PGD CET 2013 | PGECET 2013 | PGM CET 2013 | PGMEE 2013 | PMEE 2013 | PMET 2013 | POLYTECHNIC 2013 | PSTET 2013 | PTET 2013 | PUCET 2013 | RPET 2013 | RPMT 2013 | RTET 2013 | RULET 2013 | SAAT 2013 | SAT 2013 | SCRA 2013 | SET 2013 | SLEEE 2013 | SLET 2013 | SNAP 2013 | SRMEEE 2013 | STET 2013 | TANCET 2013 | TET 2013 | THAPAR 2013 | TMISAT 2013 | TNEA 2013 | TNPCEE 2013 | TOEFL 2013 | TRIPURA JEE 2013 | UGC NET 2013 | UJET 2013 | UKSEE 2013 | UP CPMT 2013 | UPCAT DENTAL 2013 | UPCMET 2013 | UPCPMT 2013 | UPGMEE 2013 | UPSC 2013 | UPSEE 2013 | UTTARAKHAND CPMEE 2013 | VEE 2013 | VITEEE 2013 | VMU AICEE 2013 | WBJEE 2013 | XAT 2013 |