**IIT JEE Question Paper 2014:**

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**Previous Year Sample Paper With Answer**

**Ques: 1.** In a large building, there are 15 bulbs of 40 W, 5 bulbs of 100 W, 5 fans of 80 W and 1 heater of 1kW. The voltage of the electric mains is 220 V. The minimum capacity of the main fuse of the building will be:

(a) 12 A

(b) 14 A

(c) 8 A

(d) 10 A

Answer: (a) 12 A

**Ques: 2.** Resistance of 0.2 M solution of an electrolyte is 50 Ω. The specific conductance of the solution is 1.4 S m-1 The resistance of 0.5 M solution of the same electrolyte is 280 Ω. The molar conductivity of 0.5 M solution of the electrolyte in S m2 mol-1 is:

(a) 5 × 103

(b) 5 × 102

(c) 5 × 10-4

(d) 5 × 10-3

Answer: (c) 5 × 10-4

**Oues: 3**. The pressure that has to be applied to the ends of a steel wire of length 10 cm to keep its length constant when its temperature is raised by 100°C is : (For steel Young’s modulus is 2×1011 N m–2 and coefficient of thermal expansion is 1.1×10–5 K–1)

(a) 2.2 × 107 Pa

(b) 2.2 × 106Pa

(c) 2.2 × 108 Pa

(d) 2.2 × 109 Pa

Answer: (c) 2.2 × 108 Pa

**Oues: 4**. A bob of mass m attached to an inextensible string of length l is suspended from a vertical support. The bob rotates in a horizontal circle with an angular speed ώ rad/s about the vertical. About the point of suspension :

(a) Angular momentum changes in direction but not in magnitude.

(b) Angular momentum changes both in direction and magnitude.

(c) Angular momentum is conserved.

(d) Angular momentum changes in magnitude but not in direction

Answer: (a) Angular momentum changes in direction but not in magnitude.

**Oues: 5.** An open glass tube is immersed in mercury in such a way that a length of 8 cm extends above the mercury level. The open end of the tube is then closed and sealed and the tube is raised vertically up by additional 46 cm. What will be length of the air column above mercury in the tube now? (Atmospheric pressure = 76 cm of Hg)

(a) 38 cm

(b) 6 cm

(c) 16 cm

(d) 22 cm

Answer: (c) 16 cm

**Oues: 6.** The coercivity of a small magnet where the ferromagnet gets demagnetized is 3 * 10^{3 } Am1. The current required to be passed in a solenoid of length 10 cm and number of turns 100, so that the magnet gets demagnetized when inside the solenoid, is:

(a) 3A

(b) 6A

(c) 30 mA

(d) 60 mA

Answer: (a) 3A

**Oues: 7**. During the propagation of electromagnetic waves in a medium:

(a) Electric energy density is equal to the magnetic energy density.

(b) Both electric and magnetic energy densities are zero.

(c) Electric energy density is double of the magnetic energy density.

(d) Electric energy density is half of the magnetic energy density.

Answer: (a) Electric energy density is equal to the magnetic energy density.

**Oues: 8.** A pipe of length 85 cm is closed from one end. Find the number of possible natural oscillations of air column in the pipe whose frequencies lie below 1250 Hz. The velocity of sound in air is 340 m/s.

(a) 6

(b) 4

(c) 12

(d) 8

Answer: (a) 6

**Oues: 9. **Two beams, A and B, of plane polarized light with mutually perpendicular planes of polarization are seen through a polaroid. From the position when the beam A has maximum intensity (and beam B has zero intensity), a rotation of Polaroid through 300 makes the two beams appear equally bright. If the initial intensities of the two beams are IA and IB respectively, then IA/IB equals :

(a) 1

(b) 1/3

(c) 3

(d) 3/2

Answer: (b) 1/3

**Oues: 10.** The metal that cannot be obtained by electrolysis of an aqueous solution of its salts is:

(a) Cu

(b) Cr

(c) Ag

(d) Ca

Answer: (d) Ca

**Oues: 11.**The ratio of masses of oxygen and nitrogen in a particular gaseous mixture is 1 : 4. The ratio of number of their molecule is:

(a) 1: 8

(b) 3 : 16

(c) 1 : 4

(d) 7 : 32

Answer: (d) 7 : 32

**Oues: 12**. Which one is classified as a condensation polymer?

(1) Teflon

(2) Acrylonitrile

(3) Dacron

(4) Neoprene

Answer: (3) Dacron

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