List of top Questions asked in JEE Advanced

Consider the following reaction,
\(2H_2(g) + 2NO(g) \rightarrow N_2(g) + 2H_2O(g)\)
which follows the mechanism given below:
\(2NO(g)\underset{k_{-1}}{\stackrel{k_1}{\rightleftharpoons}} N_2O_2(g)\) (fast equilibrium)
\(N_2O_2(g)+H_2(g) \xrightarrow[]{K_2}N_2O(g)+H_2O\)  (slow reaction)
\(N_2O(g)+H_2(g) \xrightarrow[]{K_3}N_2(g)+H_2O\)  (fast reaction)
The order of the reaction is________
Complete reaction of acetaldehyde with excess formaldehyde, upon heating with conc. NaOH solution, gives P and Q. Compound P does not give Tollens' test, whereas Q on acidification gives positive Tollens' test. Treatment of P with excess cyclohexanone in the presence of catalytic amount of p-toluenesulfonic acid (PTSA) gives product R.
Sum of the number of methylene groups (-CH2-) and oxygen atoms in R is _______
Among V(CO)6, Cr(CO)5, Cu(CO)3, Mn(CO)5, Fe(CO)5, [Co(CO)3]3-, [Cr(CO)4]4-, and Ir(CO)3, the total number of species isoelectronic with Ni(CO)4 is _________.
[Given, atomic number: V = 23, Cr=24, Mn 25, Fe 26, Co 27, Ni 28, Cu = 29, Ir = 77]
In the following reaction sequence, the major product P is formed.

Glycerol reacts completely with excess P in the presence of an acid catalyst to form Q. Reaction of Q with excess NaOH followed by the treatment with CaCl2 yields Ca-soap R, quantitatively. Starting with one mole of Q, the amount of R produced in gram is ______.
[Given, atomic weight: H = 1, C = 12, N = 14, O = 16, Na = 23, Cl = 35, Ca = 40]
Among the following complexes, the total number of diamagnetic species is ______.
[Mn(NH3)6]3+, [MnCl6]3−, [FeF6]3−, [CoF6]3−, [Fe(NH3)6]3+, and [Co(en)3]3+
[Given, atomic number: Mn = 25, Fe = 26, Co = 27;
en = H2NCH2CH2NH2]
A thin uniform rod of length L and certain mass is kept on a frictionless horizontal table with a massless string of length L fixed to one end (top view is shown in the figure). The other end of the string is pivoted to a point O. If a horizontal impulse P is imparted to the rod at a distance x = L/n from the mid-point of the rod (see figure), then the rod and string revolve together around the point O, with the rod remaining aligned with the string. In such a case, the value of n is _____.
Alternative_Text
A dinner plate was broken into six pieces. Five of the pieces are indicated in Figure A. Find out the missing piece from the options given below.
dinner plate was broken into six pieces.
Let \( A_1, B_1, C_1 \) be three points in the \( xy \)-plane. Suppose that the lines \( A_1C_1 \) and \( B_1C_1 \) are tangents to the curve \( y^2 = 8x \) at \( A_1 \) and \( B_1 \), respectively. If \( O = (0, 0) \) and \( C_1 = (-4, 0) \), then which of the following statements is (are) TRUE?
Four circular cutouts have been made in the text in Figure B. Identify the option with the group of those four cutouts.
Four circular cutouts
A table tennis ball has radius \( \frac{3}{2} \times 10^{-2} \, \text{m} \) and mass \( \frac{22}{7} \times 10^{-3} \, \text{kg} \). It is slowly pushed down into a swimming pool to a depth \( d = 0.7 \, \text{m} \) below the water surface and then released from rest. It emerges from the water surface at speed \( v \), without getting wet, and rises to a height \( H \). Which of the following option(s) is(are) correct?\(\text{(Given: } \pi = \frac{22}{7}, g = 10 \, \text{m/s}^2, \text{density of water} = 1 \times 10^3 \, \text{kg/m}^3, \text{viscosity of water} = 1 \times 10^{-3} \, \text{Pa.s).}\)
A spherical soap bubble inside an air chamber at pressure \(P_0 = 10^5 \, \text{Pa}\) has a certain radius so that the excess pressure inside the bubble is \(\Delta P = 144 \, \text{Pa}\). Now, the chamber pressure is reduced to \(8P_0/27\) so that the bubble radius and its excess pressure change. In this process, all the temperatures remain unchanged. Assume air to be an ideal gas and the excess pressure \(\Delta P\) in both the cases to be much smaller than the chamber pressure. The new excess pressure \(\Delta P\) in \(\text{Pa}\) is \_\_\_\_.
Consider the developed surface in Figure K. Lines of cut and fold are indicated. Draw the 3D view of the solid in a manner that the faces A, B, and C are visible.
the developed surface in Figure K. Lines of cut and fold are indicated.
the developed surface in Figure K. Lines of cut and fold are indicated.
A ball is thrown from the location \((x_0, y_0) = (0, 0)\) of a horizontal playground with an initial speed \(v_0\) at an angle \(\theta_0\) from the \(+x\)-direction. The ball is to be hit by a stone, which is thrown at the same time from the location \((x_1, y_1) = (L, 0)\). The stone is thrown at an angle \((180^\circ - \theta_1)\) from the \(+x\)-direction with a suitable initial speed. For a fixed \(v_0\), when \((\theta_0, \theta_1) = (45^\circ, 45^\circ)\), the stone hits the ball after time \(T_1\), and when \((\theta_0, \theta_1) = (60^\circ, 30^\circ)\), it hits the ball after time \(T_2\). In such a case, \(\left(\frac{T_1}{T_2}\right)^2\) is \_\_\_\_.
Among \([Co(CN)_4]^{4-}\), \([Co(CO)_3(NO)]\), \(XeF_4\), \([PCl_4]^+\), \([PdCl_4]^{2-}\), \([ICl_4]^-\), \([Cu(CN)_4]^{3-}\), and \(P_4\), the total number of species with tetrahedral geometry is:
A thin stiff insulated metal wire is bent into a circular loop with its two ends extending tangentially from the same point of the loop. The wire loop has mass \( m \) and radius \( r \) and is in a uniform vertical magnetic field \( B_0 \). When a current \( I \) is passed through the loop, the loop turns about the line PQ by an angle \( \theta \). The angle \( \theta \) is given by: 
A thin stiff insulated metal wire is bent into a circular loop with its two endsRead more on Sarthaks.com - https://www.sarthaks.com/3648985/thin-stiff-insulated-metal-circular-with-ends-extending-tangentially-from-same-point-loop
Considering the operation given in Figure E, what is the result of the operation in Figure F?
operation given in Figure E,
Five identical pillars, having equal height of 10 units and equal cross section, are inserted into the ground. Figure C shows only the portions of the pillars visible above ground. Which of the options given below indicates the ratio of the total volume of the pillars above and below the ground?
Five identical pillars, having equal height of 10 units
A table lamp designed with simple geometrical forms is shown below in plan, and elevations from S1 and S2. Draw the elevation of the same lamp from the direction P, as indicated in the plan.
table lamp designed with simple geometrical forms
A charge is kept at the central point \( P \) of a cylindrical region. The two edges subtend a half-angle \(\theta\) at \( P \), as shown in the figure. When \(\theta = 30^\circ\), then the electric flux through the curved surface of the cylinder is \(\Phi\). If \(\theta = 60^\circ\), then the electric flux through the curved surface becomes \(\frac{\Phi}{\sqrt{n}}\), where the value of \(n\) is \_\_\_\_. \includegraphics[width=0.3\linewidth]{ph8.png}
A thin uniform rod of length L and certain mass is kept on a frictionless horizontal table with a massless string of length L fixed to one end (top view is shown in the figure). The other end of the string is pivoted to a point O. If a horizontal impulse P is imparted to the rod at a distance x = L/n from the mid-point of the rod (see figure), then the rod and string revolve together around the point O, with the rod remaining aligned with the string. In such a case, the value of n is _____.
Alternative_Text
Match the transport infrastructure described in Column I, with their names and locations in Column II.
transport infrastructure described

Which of the following tasks is NOT a part of the job of an architect?

Consider a 3D hollow geometry with six faces and nine equal edges, as indicated in Figure D. Which of the given shapes will generate the described 3D geometry when folded along the dotted lines?
3D hollow geometry with six faces and nine equal edges,
Which of the following materials, used in construction, is an industrial waste product?
The mighty weight of a tree, supported through its trunk, is transferred to the ground by its roots. In the same way, the weight of a building is transferred to the ground through different components, i.e., beams, columns, etc. Identify the correct sequence of the components through which the weight of a building is transferred to the ground.