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11th June 2016, 08:33 AM
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Join Date: Mar 2013
Re: IIT JEE Last Year Paper

Hello, here I am providing you the paper of the IIT JEE exam as under:

Q. Let S = {1, 2, 3, 4}. The total number of unordered pairs of disjoint subsets of S is equal to
(A) 25 (B) 34
(C) 42 (D) 41

Ans. (D)

Q. Let f be a real-valued differentiable function on R (the set of all real numbers) such that f(1) = 1. If the y-intercept of the tangent at any point P(x, y) on the curve y = f(x) is equal to the cube of the abscissa of P, then the value of f(−3) is equal to {INTEGER TYPE QUESTION}

Ans. (9)

Qu. A person blows into open-end of a long pipe. As a result, a high pressure pulse of air travels down the pipe. When this pulse reaches the other end of the pipe,
(A) A high-pressure pulse starts travelling up the pipe, if the other end of the pipe is open.
(B) A low-pressure pulse starts travelling up the pipe, if the other end of the pipe is open.
(C) A low-pressure pulse starts travelling up the pipe, if the other end of the pipe is closed.
(D) A high-pressure pulse starts travelling up the pipe, if the other end of the pipe is closed.

Ans. (B, D)

Qu. Two solid cylinders P and Q of same mass and same radius start rolling down a fixed inclined plane from the same height at the same time. Cylinder P has most of its mass concentrated near its surface, while Q has most of its mass concentrated near the axis. Which statement(s) is (are) correct?
(A) Both cylinders P and Q reach the ground at the same time.
(B) Cylinder P has larger linear acceleration than cylinder Q.
(C) Both cylinders reach the ground with same translational kinetic energy.
(D) Cylinder Q reaches the ground with larger angular speed.

Ans. (D)

Qu. A current carrying infinitely long wire is kept along the diameter of a circular wire loop, without touching it, the correct statement(s) is(are):
(A) The emf induced in the loop is zero if the current is constant.
(B) The emf induced in the loop is finite if the current is constant.
(C) The emf induced in the loop is zero if the current decreases at a steady rate.
(D) The emf induced in the loop is infinite if the current decreases at a steady rate.

Ans. (A, C)

Q. Among cellulose, poly(vinyl chloride), nylon and natural rubber, the polymer in which the intermolecular force of attraction is weakest is
(A) Nylon (B) Poly(vinyl chloride)
(C) Cellulose (D) Natural Rubber

Ans. (D)

Q. The correct statement(s) regarding defects in solids is(are)
(A) Frenkel defect is usually favoured by a very small difference in the sizes of cation and anion
(B) Frenkel defect is a dislocation defect
(C) Trapping of an electron in the lattice leads to the formation of F-center
(D) Schottky defects have no effect on the physical properties of solids

Ans. (B, C)

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

Ans. (A, D)

Q. A ball is dropped from a height of 20 m above the surface of water in a lake. The refractive index of water is 4/3. A fish inside the lake, in the line of fall of the ball, is looking at the ball. At an instant, when the ball is 12.8 m above the water surface, the fish sees the speed of ball as
(A) 9 m/s (B) 12 m/s
(C) 16 m/s (D) 21.33 m/s

Ans. (C)

Q. A student performed the experiment of determination of focal length of a concave mirror by u – v method using an optical bench of length 1.5 meter. The focal length of the mirror used is 24 cm. The maximum error in the location of the image can be 0.2 cm. The 5 sets of (u, v) values recorded by the student (in cm) are: (42, 56), (48, 48), (60, 40), (66, 33), (78, 39). The data set(s) that cannot come from experiment and is (are) incorrectly recorded, is (are)
(A) (42, 56) (B) (48, 48)
(C) (66, 33) (D) (78, 39)

Ans. (C & D)

Q. If the resultant of all the external forces acting on a system of particles is zero, then from an inertial frame, one can surely say that
(A) linear momentum of the system does not change in time
(B) kinetic energy of the system does not change in time
(C) angular momentum of the system does not change in time
(D) potential energy of the system does not change in time

Ans. (A)

Q. The number of seven digit integers, with sum of the digits equal to 10 and formed by using the digits 1, 2 and 3 only, is
(A) 55 (B) 66
(C) 77 (D) 88

Ans. (C)

Q. Let (x, y, z) be points with integer coordinates satisfying the system of homogeneous equations:
3x - y - z = 0
- 3x + z = 0
-3x + 2y +z = 0.
Then the number of such points for which x2 + y2 + z2 = 100 is

Ans. (7)


IIT JEE exam paper:








Here I am providing you the paper as under:
Attached Files
File Type: pdf IIT JEE exam paper.pdf (520.9 KB, 63 views)


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