All questions of JEE Advanced 2017 for JEE Exam

• A:

  4-methylchlorobenzene

• B:

  4-chlorotoluene

• C:

  1-chloro-4-methylbenzene

• D:

  1-methyl-4-chlorobenzene

The answer is B,C.

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

• a)
  (M and O) and (N and P) are two pairs of diastereomers
• b)
  Bromination proceeds through trans-addition in both the reactions
• c)
  O and P are identical molecules
• d)
  (M and O) and (N and P) are two pairs of enantiomers

For a real number a, if the system 

of linear equations, has infinitely many solutions, then 1 + α + α² =

• a)
  11
• b)
  1
• c)
  2
• d)
  7

A wheel of radius R and mass M is placed at the bottom of a fixed step of height R as shown in the figure. A constant force is continuously applied on the surface of the wheel so that it just climbs the step without slipping. Consider the torque about an axis normal to the plane of the paper passing through the point Q. Which of the following options is/are correct ?

     

• a)
   If the force is applied normal to the circumference at point X then is constant
• b)
  If the force is applied tangentially at point S then but the wheel never climbs the step
• c)
  If the force is applied normal to the circumference at point P then is zero
• d)
  If the force is applied at point P tangentially then decreases continuously as the wheel climbs

• a)
  v_s = 22 km s^–1
• b)
  v_s = 72 km s^–1
• c)
  v_s = 42 km s^–1 
• d)
  v_s = 62 km s^–1

• a)
  4
• b)
  8
• c)
  2
• d)
  6

• A:

  

• B:

  

• C:

  

• D:

  

The answer is A,B.

The instantaneous voltages at three terminals marked X, Y and Z are given by

An ideal voltmeter is configured to read rms value of the potential difference between its terminals. It is connected between points X and Y and then between Y and Z. The reading(s) of the voltmeter will be:-

• a)
  
• b)
  
• c)
  Independent of the choice of the two terminals
• d)
  

A symmetric star shaped conducting wire loop is carrying a steady state current I as shown in the figure. The distance between the diametrically opposite vertices of the star is 4a. The magnitude of the magnetic field at the center of the loop is :

• a)
  
• b)
  
• c)
  
• d)
  

• a)
  The resistive force experienced by the plate is proportional to v
• b)
  The pressure difference between the leading and trailing faces of the plate is proportional to uv.
• c)
  The plate will continue to move with constant non-zero acceleration, at all times
• d)
  At a later time the external force F balances the resistive force.

• a)
  14501 bar
• b)
  29001 bar
• c)
  58001 bar
• d)
  1405 bar

• a)
  HClO₄ is more acidic than HClO because of the resonance stabilization of its anion
• b)
  HClO₄ is formed in the reaction between Cl₂ and H₂O
• c)
  The central atom in Both HClO₄ and HClO is sp³ hybridized
• d)
  The conjugate base of HClO₄ is weaker base than H₂O

• a)
  125
• b)
  252
• c)
  210
• d)
  126

A photoelectric material having work-function φ₀ is illuminated with light of wavelength  The fastest photoelectron has a de-Broglie wavelength λ_d. A change in wavelength of the incident light by Δλ results in a change Δλ_d in λ_d. Then the ratio Δλ_d / Δλ is proportional to

• a)
  
• b)
  
• c)
  
• d)
  

• a)
  Cr₂O₃, CrO, SnO, PbO
• b)
  NO, B₂O₃, PbO, SnO₂
• c)
  Cr₂O₃, BeO, SnO, SnO₂
• d)
  ZnO, Al₂O₃, PbO, PbO₂

A block of mass M has a circular cut with a frictionless surface as shown. The block rests on the horizontal frictionless surface of a fixed table. Initially the right edge of the block is at x = 0, in a co-ordinate system fixed to the table. A point mass m is released from rest at the topmost point of the path as shown and it slides down. When the mass loses contact with the block, its position is x and the velocity is v. At that instant, which of the following options is/are correct ?

• a)
  The x component of displacement of the centre of mass of the block M is : 
• b)
  The position of the point mass is 
• c)
  The velocity of the point mass m is 
• d)
  The velocity of the block M is 

• a)
  N₂O₄ and H₃PO₃
• b)
  N₂O₄ and HPO₃
• c)
  N₂O₅ and HPO₃
• d)
  N₂O₃ and H₃PO₄

• a)
  x = -1
• b)
  x = 0
• c)
  x = 2
• d)
  x = 1

• a)
  25
• b)
  15
• c)
  5
• d)
  10

• a)
  p = 5, h = 4, k = –3
• b)
  p = –1, h = 1, k = –3
• c)
  p = –2, h = 2, k = –4
• d)
  p = 2, h = 3, k = –4

In the circuit shown, L = 1 µH, C = 1 µF and R = 1 kΩ. They are connected in series with an a.c. source V = V₀ sin ωt  as shown. Which of the following options is/are correct ?

• a)
  The frequency at which the current will be in phase with the voltage is independent of R.
• b)
  At ω ~ 0 the current flowing through the circuit becomes nearly zero
• c)
  At ω >> 10⁶ rad.s^-1, the circuit behaves like a capacitor.
• d)
  The current will be in phase with the voltage if ω = 10⁴ rad.s^-1.

If g(x) = 

• a)
  
• b)
  
• c)
  
• d)
  None of the Above

• a)
  Zn metal and NaOH(aq)
• b)
  Au metal and NaCN(aq) in the presence of air
• c)
  Cu metal and conc. HNO₃
• d)
  Fe metal and conc. HNO₃

• a)
   With increase in temperature, the value of K for exothermic reaction decreases because the entropy change of the system is positive
• b)
   With increase in temperature, the value of K for endothermic reaction increases because unfavourable change in entropy of the surroundings decreases
• c)
   With increase in temperature, the value of K for exothermic reaction decreases because favourable change in entropy of the surroundings decreases
• d)
   With increase in temperature, the value of K for endothermic reaction increases because the entropy change of the system negative

• a)
  0.2 %
• b)
  5 %
• c)
  3 %
• d)
  1 %

A block M hangs vertically at the bottom end of a uniform rope of constant mass per unit length. The top end of the rope is attached to a fixed rigid support at O. A transverse wave pulse (Pulse 1) of wavelength λ₀ is produced at point O on the rope. The pulse takes time TOA to reach point A. If the wave pulse of wavelength λ₀ is produced at point A (Pulse 2) without disturbing the position of M it takes time T_AO to reach point O. Which of the following options is/are correct ?.

• a)
  The time T_AO = T_OA
• b)
  The velocities of the two pulses (Pulse 1 and Pulse 2) are the same at the midpoint of rope
• c)
  The wavelength of Pulse 1 becomes longer when it reaches point A
• d)
  The velocity of any pulse along the rope is independent of its frequency and wavelength.

• a)
  Attractive intramolecular interactions between L–L in pure liquid L and M–M in pure liquid M are stronger than those between L–M when mixed in solution
• b)
  The point Z represents vapour pressure of pure liquid M and Raoult's law is obeyed when
  x_L → 0
• c)
  The point Z represents vapour pressure of pure liquid L and Raoult's law is obeyed when
  x_L → 1
• d)
  The point Z represents vapour pressure of pure liquid M and Raoult's law is obeyed from x_L = 0 to x_L = 1

• a)
  the physical state of X₂ at room temperature changes from gas to solid down the group
• b)
  decrease in HOMO-LUMO gap down the group
• c)
  decrease in π*-σ* down the group
• d)
  decrease in ionization energy down the group

• a)
  198
• b)
  126
• c)
  135
• d)
  162

• a)
  5
• b)
  6
• c)
  1
• d)
  2

• a)
  Al(CH₃)₃ has the three-centre two-electron bonds in its dimeric structure
• b)
  AlCl₃ has the three-centre two-electron bonds in its dimeric structure
• c)
  BH₃ has the three-centre two-electron bonds in its dimeric structure
• d)
  The Lewis acidity of BCl₃ is greater than that of AlCl₃

An ideal gas is undergoing a cyclic thermodynamics process in different ways as shown in the corresponding P–V diagrams in column 3 of the table. Consider only the path from state 1 to state 2. W denotes the corresponding work done on the system. The equations and plots in the table have standard notations as used in thermodynamics processes. Here g is the ratio of heat capacities at constant pressure and constant volume. The number of moles in the gas is n.

                                                   

           

                  
                                        
               

Q. Which one of the following options is the correct combination ?

• a)
  (III) (ii) (S)
• b)
  (II) (iv) (R)
• c)
  (II) (iv) (P)
• d)
  (IV) (ii) (S)

A drop of liquid of radius R = 10^–2 m having surface tension  divides itself into K identical drops. In this process the total change in the surface energy then the value of α is

• a)
  6
• b)
  10
• c)
  8
• d)
  9

Let f : R → R be a differentiable function such that  f(0) = 0,  and f'(0) = 1. If

• a)
  6
• b)
  4
• c)
  2
• d)
  8

The major product of the following reaction is 

• a)
  
• b)
  
• c)
  
• d)
  

• a)
  
• b)
  
• c)
  
• d)
  

• a)
  
• b)
  
• c)
  
• d)
  

• a)
  O₃ and P₄O₆
• b)
  O₂ and P₄O₁₀
• c)
  O₃ and P₄O₁₀
• d)
  O₂ and P₄O₆

If the line x = a divides the area of region R = [(x, y) ∈  x³ < y < x, 0 < x < 1} into two equal parts, then

• a)
  
• b)
  
• c)
  
• d)
  

• a)
  14x + 2y + 15z = 31
• b)
  14x + 2y – 15z = 1
• c)
  –14x + 2y + 15z = 3
• d)
  14x – 2y + 15z = 27

Q.

The only CORRECT combination that gives two different carboxylic acids is 

• a)
  (IV) (iii) (Q)
• b)
  (III) (iii) (P)
• c)
  (II) (iv) (R)
• d)
  (I) (i) (S)

The wave function  is a mathematical function whose value depends upon spherical polar coordinates(r,θ,φ)  of the electron and characterized by the quantum numbers n, l and m₁. Here r is distance from nucleus, θ is  colatitude and φ is azimuth. In the mathematical functions given in the Table, Z is atomic number a₀ is  Bohr radius.

Q. For He+ ion, the only INCORRECT combination is 

• a)
  (II) (ii) (Q)
• b)
  (I) (i) (S)
• c)
  (I) (i) (R)
• d)
  (I) (iii) (R)

PARAGRAPH–1
Consider a simple RC circuit as shown in figure 1.
Process 1 : In the circuit the switch S is closed at t = 0 and the capacitor is fully charged to voltage V₀ (i.e., charging continues for time T >> RC). In the process some dissipation (E_D) occurs across the resistance R. The amount of energy finally stored in the fully charged capacitor is E_C.
Process 2 : In a different process the voltage is first set to  and maintained for a charging time T >> RC. Then the voltage is raised to   without discharging the capacitor and again maintained for a time T >> RC. The process is repeated one more time by raising the voltage to V0 and the capacitor is charged to the same final voltage V₀ as in Process 1. These two processes are depicted in Figure 2.

Q. In Process 1, the energy stored in the capacitor EC and heat dissipated across resistance ED are related by :-

• a)
   E_C = E_D
• b)
  E_C = 2E_D
• c)
  
• d)
  E_C = E_D In2

Compound P and R upon ozonolysis produce Q and S, respectively. The molecular formula of Q and S is C₈H₈O. Q undergoes Cannizzaro reaction but not haloform reaction, whereas S undergoes haloform reaction but not Cannizzaro reaction.

(i) 

(ii) 

The option(s) with suitable combination of P and R, respectively, is(are)

• a)
  
• b)
  
• c)
  
• d)
  

The reaction of compound P with CH₃MgBr (excess) in (C₂H₅)₂O followed by addition of H₂O gives Q, The compound Q on treatment with H₂SO₄ at 0ºC gives R. The reaction of R with CH₃COCl in the presence of anhydrous AlCl₃ in CH₂Cl₂ f ollowed by treatment with H₂O produces compounds S. [Et it compounds P is ethyl group]

Q. The product S is -

• a)
  
• b)
  
• c)
  
• d)
  

Q. Which of the following options is the only CORRECT combination ?

• a)
  (III) (iii) (R)
• b)
  (I) (i) (P)
• c)
  (IV) (iv) (S)
• d)
  (II) (ii) (Q)

PARAGRAPH–1
Consider a simple RC circuit as shown in figure 1.
Process 1 : In the circuit the switch S is closed at t = 0 and the capacitor is fully charged to voltage V₀ (i.e., charging continues for time T >> RC). In the process some dissipation (E_D) occurs across the resistance R. The amount of energy finally stored in the fully charged capacitor is E_C.
Process 2 : In a different process the voltage is first set to  and maintained for a charging time T >> RC. Then the voltage is raised to   without discharging the capacitor and again maintained for a time T >> RC. The process is repeated one more time by raising the voltage to V0 and the capacitor is charged to the same final voltage V₀ as in Process 1. These two processes are depicted in Figure 2.

Q. In Process 2, total energy dissipated across the resistance E_D is :-

• a)
  
• b)
  
• c)
  
• d)
  

Q.

Which of the following options is the only CORRECT combination ? 

• a)
  (IV) (i) (S)
• b)
  (I) (ii) (R)
• c)
  (III) (iv) (P)
• d)
  (II) (iii) (S)