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Old November 17th, 2016, 03:39 PM
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This year IIT JEE Advanced Exam conducted by IIT Madras.

IIT Madras also declared its result.

Every year one of IIT will conduct JEE Advanced Exam. Who will conduct next year JEE Advanced Exam, it will declare soon.

As you are looking for question papers of JEE Advacned Exam conducte by IIT Delhi, so here are folowing quetsion papers:

JEE Advanced Question Paper 2014

Heater of an electric kettle is made of a wire of length L and diameter d. It takes 4 minutes to raise the temperature of 0.5kgwater by 40K. This heater is replaced by a new heater having two wires of the same material, each of length L and diameter 2d.The way these wires are connected is given in the options. How much time in minutes will it take to raise the temperature of the same amount of water by 40 K?
(A)4 if wires are in parallel
(B) 2 if wires are in series
(C)1 if wires are in series
(D)0.5 if wires are in parallel

In the figure, a ladder of mass m is shown leaning against a wall. It is in static equilibrium making an angle θ with the horizontal floor. The coefficient of friction between the wall and the ladder is 𝜇𝜇1 and that between the floor and the ladder is 𝜇𝜇2. The normal reaction of the wall on the ladder is N1 and that of the floor is N2. If the ladder is about to slip, then
(A)𝜇𝜇1=0 𝜇𝜇2≠0and𝑁𝑁2 tan𝜃𝜃=𝑚 𝑚𝑚2
(B) 𝜇𝜇1≠0 𝜇𝜇2=0and𝑁𝑁1 tan𝜃𝜃= 𝑚 𝑚𝑚2
(C)𝜇𝜇1≠0 𝜇𝜇2≠0and𝑁𝑁2=𝑚 𝑚𝑚1+𝜇𝜇1𝜇𝜇2
(D)𝜇𝜇1=0 𝜇𝜇2≠0and𝑁𝑁1 tan𝜃𝜃=𝑚 𝑚𝑚2

transparent thin film of uniform thickness and refractive index n1= 1.4 is coated on the convex spherical surface of radius Rat one end of a long solid glass cylinder of refractive index n2 = 1.5, as shown in the figure. Rays of light parallel to the axis of the cylinder traversing through the film from air to glass get focused at distance f1 from the film, while rays of light traversing from glass to air get focused at distance f2 from the film. Then
(A) |𝑓𝑓1| =3R
(B)|𝑓𝑓1| = 2.8R
(C)|𝑓𝑓2| =2R
(D)|𝑓𝑓2| = 1.4R

Two ideal batteries of emfV1 and V2 and three resistancesR1, R2 andR3 are connected as shown in the figure. The current in resistanceR2 would be zero if
(A)𝑉𝑉1=𝑉𝑉2and𝑅𝑅1=𝑅𝑅2=𝑅𝑅3
(B) 𝑉𝑉1=𝑉𝑉2and𝑅𝑅1=2𝑅𝑅2=𝑅𝑅3
(C) 𝑉𝑉1=2𝑉𝑉2and 2𝑅𝑅1=2𝑅𝑅2=𝑅𝑅3
(D)2𝑉𝑉1=𝑉𝑉2and2𝑅𝑅1=𝑅𝑅2=𝑅𝑅3

Airplanes A and B are flying with constant velocity in the same vertical plane at angles 30° and 60° with respect to the horizontal respectively as shown in figure. The speed of A is 100√3 𝑚 −1. At time 𝑡𝑡=0 𝑠𝑠, an observer in A finds B at a distance of 500 m. This observer sees B moving with a constant velocity perpendicular to the line of motion of A. If at 𝑡𝑡=𝑡𝑡0, A just escapes being hit by B, 𝑡𝑡0 in seconds is

During Searle’s experiment, zero of the Vernier scale lies between 3.20×10−2 𝑚 and 3.25×10−2 𝑚 of the main scale. The 20th division of the Vernier scale exactly coincides with one of the main scale divisions. When an additional load of 2 kg is applied to the wire, the zero of the Vernier scale still lies between 3.20×10−2 𝑚 and 3.25×10−2 𝑚 of the main scale but now the 45th division of Vernier scale coincides with one of the main scale divisions. The length of the thin metallic wire is 2 m and its cross-sectional area is 8×10−7𝑚 2. The least count of the Vernier scale is 1.0×10−5 . The maximum percentage error in the Young’s modulus of the wire is

A uniform circular disc of mass 1.5 kg and radius 0.5 m is initially at rest on a horizontal frictionless surface. Three forces of equal magnitude F = 0.5 N are applied simultaneously along the three sides of an equilateral triangle XYZ with its vertices on the perimeter of the disc (see figure). One second after applying the forces, the angular speed of the disc in 𝑟𝑟𝑟𝑟𝑟𝑟𝑠𝑠−1 is

Two parallel wires in the plane of the paper are distance X0 apart. A point charge is moving with speed u between the wires in the same plane at a distance X1 from one of the wires. When the wires carry current of magnitude I in the same direction, the radius of curvature of the path of the point charge is R1. In contrast, if the currents I in the two wires have directions opposite to each other, the radius of curvature of the path is R2. If 𝑋𝑋0𝑋𝑋1 = 3, the value of 𝑅𝑅1𝑅𝑅2 is



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