All questions of Mock Tests for JEE Advanced 2025 for JEE Exam

A disc ‘A’ of mass M is placed at rest on the smooth inclined surface of inclination θ. A ball B of mass m is suspended vertically from the centre of the disc A by a light inextensible string of light ℓ as shown in the figure. If the acceleration of the disc B immediately after the system is released from rest

 

• a)
  2
• b)
  1
• c)
  5
• d)
  3

• a)
  300J / kg^oC
• b)
  400J / Kg^oC
• c)
  500J / Kg^oC
• d)
  600J / kg^oC

• A:
  C₆H₆ >C₆D₆ > C₆T₆
• B:
  C₆H₆ = C₆D₆ = C₆T₆
• C:
  C₆H₆ > C₆D₆ = C₆T₆
• D:
  C₆T₆ >C₆D₆ >C₆H₆

Of the following amines how many can be separated by Hoffmann’s mustard oil reaction?

 

 

• a)
  2
• b)
  3
• c)
  5
• d)
  4

Where X is a compound that forms azodye with benzene diazonium chloride in faintly basic medium.
Hence the products P, X and Y are respectively.

• a)
  
• b)
  
• c)
  
• d)
  

Which one of following statement is true

• a)
  G is an optically inactive compound
• b)
  H is an optically inactive compound and have all C – C bond of equal length
• c)
  F and D both have equal no of π-bond
• d)
  H is 3-methylnaphthalene

• a)
  3
• b)
  6
• c)
  5
• d)
  4

• a)
  
• b)
  
• c)
  
• d)
  

The answer is 4.

• a)
  4/5 ℓn2
• b)
  -5/4 ℓn3
• c)
  -5/4 ℓn2
• d)
   ℓn2 - 5/8

If z₁ and z₂ are two variable complex numbers such that, . Then themaximum value of ,is

• a)
  23
• b)
  13
• c)
  5
• d)
  18

• a)
  1/4
• b)
  1/3
• c)
  1/2
• d)
  2/3

In the circuit shown C₁ = 2C₂. Switch S is closed at time t = 0. Let i₁ & i₂ be the current flowing through C₁ and C₂ at any time t, then the ratio I₁/I₂

• A:
  is constant
• B:
  increases with increase in time t
• C:
  decreases with increase in time t
• D:
  first increases then decreases

• a)
  order of Co – C bond length in complexes is I > II > III > IV > V > VI
• b)
  order of Co – C bond length in complexes is VI > V > IV > III > II > I
• c)
  order of Co – C bond strength in complexes is I = II = III = IV = V = VI
• d)
  order of C – O bond length in complexes is I = II = III = IV = V = VI

The wave function of atomic orbital of H-like atoms is given as under:

Given that the radius is in Å, then which of the following is radius for nodal surface for He+ ion

• a)
  1Å
• b)
  2Å
• c)
  2.5Å
• d)
  4Å

• a)
  a = 6, b = –4
• b)
  a = 5, b = –4
• c)
  a = 6, b = –3
• d)
  a = 6, b ∈ R

• a)
  +2
• b)
  +1
• c)
  0
• d)
  -1

If f(x) and g(x) are defined and differentiable for x ≥ x₀ andthen

• a)
   f (x) > g (x) , for some x > x₀
• b)
   f (x) > g (x) , for no x > x₀
• c)
   f (x) = g (x) , for some x > x₀
• d)
   f (x) > g(x) , for all x > x₀

• a)
  fog  
• b)
  gof  
• c)
  fof  
• d)
  gog 

• a)
  Acetone and methanol 
• b)
  Acetone and methane 
• c)
  Propanol and ethanol
• d)
  Acetaldehyde and ethanol

• a)
  L_i2CO₃ and CaCO₃
• b)
  NaHCO₃ and KHCO₃
• c)
  Hydrated MgCl₂ and hydrated Na₂SO₄
• d)
  Li₂SO₄ and MgSO₄

• a)
  1/6
• b)
  0
• c)
  1/10
• d)
  1/9

• a)
  π a² B₀
• b)
  2 a² B₀
• c)
  zero
• d)
  1/2π a² B₀

• a)
  Aniline and cyclohexane
• b)
  Chloroform and acetone
• c)
  Ethyl alcohol and pentane
• d)
  Dimethyl ether and chloroform

• a)
  (1, –1)
• b)
  (7, –5)
• c)
  (–2, 1)
• d)
  (4, –3)

• a)
  - 4
• b)
  - 2
• c)
  2
• d)
  4

A particle of charge q and mass m is projected with a velocity v₀ towards a circular region having uniform magnetic field B perpendicular and into the plane of paper from point P as shown in the figure. R is the radius and O is the centre of the circular region. If the line OP makes an angle θ with the direction of v₀ then the value of v₀ so that particle passes through O is

• a)
  
• b)
  
• c)
  
• d)
  

• a)
  1.5
• b)
  2
• c)
  3
• d)
  4

• a)
  charged flown through the battery is 40/3 μC
• b)
  charge flown through the battery is 20/3 μC
• c)
  work done by the battery is 200/3 μJ
• d)
  work done by the battery is 100/3 μJ

• a)
  f/2
• b)
  2/5f
• c)
  f
• d)
  3f/2

• a)
  θ
• b)
  tan^-1 (etan θ)
• c)
  
• d)
  (1+ eθ)

• a)
  y³ – 10 y² – 33y + 37 = 0  
• b)
  y³ – 10y² + 33y – 37 = 0  
• c)
  y³ + 10 y² + 33y + 37 = 0  
• d)
  y³ – 10y² – 33y – 37 = 0  

In the arrangement shown, all surfaces are frictionless. The rod R is constrained to move vertically. The vertical acceleration of R is a₁ and the horizontal acceleration of the edge w is a₂. The ratio a₁/a₂is equal to

• a)
  tan α
• b)
  cot α
• c)
  sin α
• d)
  cos α

• a)
  
• b)
  
• c)
  
• d)
  

The Bertholet’s equation of state for 1 mole real gas is given as under:

Where a and b are van der Waal’s constants. van der Waal’s constant “a” signifies, the force of attraction
among the gas molecules. van der Waal’s constant “b” signifies incompressible volume i.e. volume
having no effect of compression and expansion. It is also known as co-volume. Thereby the volume
having effect of compression and expansion i.e. compressible volume = V – b (for 1 mole real gas).
One of the form of van der Waal’s equation of state is virial equation. The virial equation for 1 mole real
gas is as under:

where A, B, C are known as 2^nd, 3^rd and 4^th virial coefficients respectively. The temperature at which real
gases obey ideal gas equation (PV = RT), is known as Boyles temperature i.e. T_B.

Q. If the value of a and b increases by 8 times and 2 times respecively, then new Boyle’s temperature will increases by how many times and what will be effect on the ease of liquification ?

• a)
  2 times, ease of liquification will increase
• b)
  4 times, the ease of liquification will increase
• c)
  1/4 times, the ease of liquification will decrease
• d)
  1/2 times, the ease of liquification will decrease

• a)
  if {f (x) + g (x)} is continuous at x = a, then f(x) and g(x) are both separately continuous at x = a.
• b)
  If f(x) .g(x) is continuous at x = a, then f(x) and g(x) are separately continuous at x = a
• c)
  If f(x). g(x) & f(x) are discontinuous at x = a then g(x) is continuous at x = a
• d)
  if both f(x) and g(x) are discontinuous at x = a then f(x) + g(x) may not be discontinuous atx = a

• a)
  1.0 x 10^-4  
• b)
  1.0 x 10^-10  
• c)
  1.0 x 10^-8  
• d)
  1.0 x 1.0¹⁰ 

In the circuit shown C₁ = 2C₂. Switch S is closed at time t = 0. Let i₁ & i₂ be the current flowing through C₁ and C₂ at any time t, then the ratio I₁/I₂

• a)
  is constant
• b)
  increases with increase in time t
• c)
  decreases with increase in time t
• d)
  first increases then decreases

• a)
    CH₃Cl
• b)
  CH₂Cl₂
• c)
  CH₂Cl₂
• d)
  CCl₄

• a)
  2
• b)
  4
• c)
  6
• d)
  3