JEE Advanced 2017 Paper 1 Offline

The only CORRECT combination that gives two different carboxylic acids is :

For the synthesis of benzoic acid, the only CORRECT combination is

The only CORRECT combination in which the reaction proceeds through radical mechanism is :

The correct statements(s) for the following addition reactions is (are)

Among the following, the number of aromatic compound(s) is

The IUPAC name(s) of the following compound is (are)

Among \({H_2},H{e_2}^ + ,L{i_2},\) \(B{e_2},{B_2},{C_2},{N_2},O_2^ -\) and \({F_2},\) the number of diamagnetic species is
(Atomic numbers : \(H = 1,He = 2,\) \(Li = 3,Be = 4,\) \(B = 5,C = 6,\) \(N = 7,\) \(O = 8,F = 9\))

Addition of excess aqueous ammonia to a pink colored aqueous solution of \(MC{l_2},6{H_2}O\left( X \right)\) and \(N{H_4}Cl\) gives an octahedral complex \(Y\) in the presence of air. In aqueous solution, complex \(Y\) behaves as \(1:3\) ...

The sum of the number of lone pairs of electrons on each central atom in the following species is
\({[TeB{r_6}]^{2 - }},{\left[ {Br{F_2}} \right]^ + },SNF_3,\) and \({\left[ {Xe{F_3}} \right]^ - }\)
(Atomic numbers: \(N = 7,F = 9,\) $$S =...

The conductance of a \(0.0015\) \(M\) aqueous solution of a weak monobasic acid was determined by using a conductivity cell consisting of platinized \(Pt\) electrodes. The distance between the electrodes is \(120\) \(cm\) with an area of cr...

The color of the \({X_2}\) molecules of group \(17\) elements changes gradually from yellow to violet down the group. This is due to

The correct statement(s) about the oxoacids, \(HCl{O_4}\) and \(HClO\) is (are)

A crystalline solid of a pure substance has a face-centered cubic structure with a cell edge of \(400\) \(pm.\) If the density of the substance in the crystal is \(8\) \(g\,c{m^{ - 3}},\) then the number of atoms present in \(256\) \(g\) of...

For a solution formed by mixing liquids \(L\) and \(M,\) the vapor pressure of \(L\) plotted against the mole fraction of \(M\) in solution is shown in the following figure. Here \({X_L}\) and \({X_M}\) represent mole fractions of \(L\) and...

For the given orbital in Column 1, the only CORRECT combination for any hydrogen-like species is :

For \(H{e^ + }\) ion, the only INCORRECT combination is

For hydrogen atom, the only CORRECT combination is :

An ideal gas is expanded from \(\left( {{p_1},{V_1},{T_1}} \right)\) to \(\left( {{p_2},{V_2},{T_2}} \right)\) under different conditions. The correct statement(s) among the following is (are)

Which of the following options is the only CORRECT combination?

Which of the following options is the only INCORRECT combination?

Which of the following options is the only CORRECT combination?

Let a, b, x and y be real numbers such that a \(-\) b = 1 and y \(\ne\) 0. If the complex number z = x + iy satisfies \({\mathop{\rm Im}\nolimits} \left( {{{az + b} \over {z + 1}}} \right) = y\), then which of the following is(are) possi...

For how many values of p, the circle x2 + y2 + 2x + 4y \(-\) p = 0 and the coordinate axes have exactly three common points?

If \(2x - y + 1 = 0\) is a tangent to the hyperbola \({{{x^2}} \over {{a^2}}} - {{{y^2}} \over {16}} = 1\) then which of the following CANNOT be sides of a right angled triangle?

The tangent to a suitable conic (Column 1) at \(\left( {\sqrt 3 ,\,{1 \over 2}} \right)\) is found to be \(\sqrt 3 x + 2y = 4\), then which of the following options is the only CORRECT combination?

For \(a = \sqrt 2\), if a tangent is drawn to a suitable conic (Column 1) at the point of contact (\(-\)1, 1), then which of the following options is the only CORRECT combination for obtaining its equation?

Let [x] be the greatest integer less than or equals to x. Then, at which of the following point(s) the function \(f(x) = x\cos (\pi (x + [x]))\) is discontinuous?

Let f : R \(\to\) R be a differentiable function such that f(0) = 0, \(f\left( {{\pi \over 2}} \right) = 3\) and f'(0) = 1.If \(g(x) = \int\limits_x^{\pi /2} {[f'(t)\text{cosec}\,t - \cot t\,\text{cosec}\,t\,f(t)]dt}\)for $$x \in \left(...

Let f : R \(\to\) (0, 1) be a continuous function. Then, which of the following function(s) has (have) the value zero at some point in the interval (0, 1) ?

Which of the following is(are) NOT the square of a 3 \(\times\) 3 matrix with real entries?

For a real number \(\alpha\), if the system$$\left[ {\matrix{
1 & \alpha & {{\alpha ^2}} \cr
\alpha & 1 & \alpha \cr
{{\alpha ^2}} & \alpha & 1 \cr

} } \right]\left[ {\matrix{
x \cr
y \cr
z \cr

} } \ri...

If a tangent to a suitable conic (Column 1) is found to be y = x + 8 and its point of contact is (8, 16), then which of the following options is the only CORRECT combination?

If a chord, which is not a tangent, of the parabola y2 = 16x has the equation 2x + y = p, and mid-point (h, k), then which of the following is(are) possible value(s) of p, h and k?

Words of length 10 are formed using the letters A, B, C, D, E, F, G, H, I, J. Let x be the number of such words where no letter is repeated; and let y be the number of such words where exactly one letter is repeated twice and no other lette...

Let X and Y be two events such that \(P(X) = {1 \over 3}\), \(P(X|Y) = {1 \over 2}\) and \(P(Y|X) = {2 \over 5}\). Then

The sides of a right angled triangle are in arithmetic progression. If the triangle has area 24, then what is the length of its smallest side?

In the circuit shown, \(L = 1\,\mu H,C = 1\,\mu F\,\) and \(R = 1\,k\Omega .\) They are connected in series with an a.c. source
\(V = {V_0}\sin \omega t\) as shown.
Which of the following options is/are correct?

\({}^{131}{\rm I}\) is an isotope of Iodine that \(B\) decays to an isotope of Xenon with a half-life of \(8\) days. A small amount of a serum labelled with \({}^{131}{\rm I}\) is injected into the blood of a person. The activity of the am...

An electron in a hydrogen atom undergoes a transition from an orbit with quantum number \({n_i}\) to another with quantum number \({n_f}\). \({V_i}\) and \({V_f}\) are respectively the initial and final potential energies of the electron. I...

A circular insulated copper wire loop is twisted to form two loops of area \(A\) and \(2A\) as shown in the figure. At the point of crossing the wires remain electrically insulated from each other. The entire loop lies in the plane (of the ...

For an isosceles prism of angle \(A\) and refractive index \(\mu\), it is found that the angle of minimum deviation \({\delta _m} = A.\)
Which of the following options is/are correct?

A monochromatic light is travelling in a medium of refractive index \(n=1.6.\) It enters a stack of glass layers from the bottom side at an angle \(\theta = {30^ \circ }.\) The interfaces of the glass layers are parallel to each other. The...

Which one of the following options is the correct combination?

Which of the following options is the only correct representation of a process in which
\(\Delta U = \Delta Q - P\Delta V\)?

Which one of the following options correctly represents a thermodynamic process that is used as a correction in the determination of the speed of sound in an ideal gas?

In which case will the particle move in a straight line with constant velocity?

In which case would the particle move in a straight line along the negative direction of \(y\)-axis (i.e., move along \(- \widehat y\))?

In which case will the particle describe a helical path with axis along the positive \(z\) direction?

A drop of liquid of radius \(R = {10^{ - 2}}\,m\) having surface tension \(S = {{0.1} \over {4\pi }}N{m^{ - 1}}\) divides itself into \(K\) identical drops. In this process the total change in the surface energy $$\Delta U = {10^{ - 3}}\,J...

A human body has a surface area of approximately \(1\,m{}^2.\) The normal body temperature is \(10\) \(K\) above the surrounding room temperature \({T_0}.\) Take the room temperature to be \({T_0} = 300K.\) For \({T_0} = 300\,K,\) the value...