JEE Advanced 2014 Question Paper

The reactivity of compound Z with different halogens under appropriate conditions is given below : The observed pattern of electrophilic substitution can be explained by

The correct statement(s) for orthoboric acid is/are

Hydrogen bonding plays a central role in the following phenomena

Assuming 2s-2p mixing is NOT operative, the paramagnetic species among the following is

The major product in the following reaction is

A circle S passes through the point (0, 1) and is orthogonal to the circles (x - 1)2 + y2 = 16 and x2 + y2 = 1. Then

The common tangents to the circle x2 + y2 = 2 and the parabola y2 = 8x touch the circle at the points P, Q and the parabola at the points R, S. Then the area of the quadrilateral PQRS is

The function y = f(x) is the solution of the differential equation in (- 1, 1) satisfying f(0) = 0. Then f(x) dx is

For every pair of continuous functions f, g : [0, 1] →R  such that max {f(x) : x ∈ [0, 1]} = max {g(x) : x ∈ [0, 1]}, the correct statement(s) is(are) :

Let f: → R be given by f(x) = (log(secx + tanx))3. Then

If λCu is the wavelength of Kα X-ray line of copper (atomic number 29) and λMo is the wavelength of the Kα X-ray line of molybdenum (atomic number 42), then the ratio λCu/λMo is close to

A planet of radius R = × (radius of Earth) has the same mass density as Earth. Scientists dig a well of depth on it and lower a wire of the same length and of linear mass density 10-3 kg m-1 into it. If the wire is not touching anywhere, the force applied at the top of the wire by a person holding it in place is (take the radius of Earth = 6 × 106 m and the acceleration due to gravity on Earth is 10 ms-2)

A point source S is placed at the bottom of a transparent block of height 10 mm and refractive index 2.72. It is immersed in a lower refractive index liquid as shown in the figure. It is found that the light emerging from the block to the liquid forms a circular bright spot of diameter 11.54 mm on the top of the block. The refractive index of the liquid is

A parallel plate capacitor has a dielectric slab of dielectric constant K between its plates that covers 1/3 of the area of its plates, as shown in the figure. The total capacitance of the capacitor is C while that of the portion with dielectric in between is C1. When the capacitor is charged, the plate area covered by the dielectric gets charge Q1 and the rest of the area gets charge Q2. The electric field in the dielectric is E1 and that in the other portion is E2. Choose the correct option/options, ignoring edge effects.

A light source, which emits two wavelengths λ1= 400 nm and λ2= 600 nm, is used in a Young′s double slitexperiment. If recorded fringe widths for λ1and λ2are β1and β2and the number of fringes for them withina distance y on one side of the central maximum are m1and m2, respectively, then