JEE

Suppose the drift velocity v_d in a material varied with the applied electric field E as . Then V - I graph for a wire made of such a material is best given by :

• a)
  
• b)
  
• c)
  
• d)
  

• a)
  Ethanoic acid
• b)
  Methanoic acid
• c)
  Benzoic acid
• d)
  Carbolic acid

In the following question, a Statement of Assertion (A) is given followed by a corresponding Reason (R) just below it. Read the Statements carefully and mark the correct answer-
Assertion (A): The vector equation of the plane passing through the points (1, -2, 5), (0, -5, -1), (-3, 5, 0) is 
Reason (R): The vector equation of the plane passing through the points

• a)
  Both Assertion and Reason are true and Reason is the correct explanation of Assertion.
• b)
  Both Assertion and Reason are true and Reason is not the correct explanation of Assertion.
• c)
  Assertion is true but Reason is false.
• d)
  Assertion is false but Reason is true.

If and f (x) dx = A log |1 − x| + Bx + C, then the ordered pair (A, B) is equal to : 
(where C is a constant of integration)

• a)
  
• b)
  
• c)
  
• d)
  

• a)
  Bωl²
• b)
  1/2 Bωl²
• c)
  2 Bωl²
• d)
  1/4 Bωl²

• a)
  same as index
• b)
  one less than the index
• c)
  one more than the index
• d)
  none of these

• a)
  Proton is the nucleus of deuterium
• b)
  Proton is alpha particle
• c)
  Proton is ionized hydrogen molecule
• d)
  Proton is ionized hydrogen atom

IF B is a non-singular matrix and A is a square matrix, then 

• a)
  
• b)
  
• c)
  
• d)
  

Identify the domain and range of the function f(x), defined in N, as below:

• a)
  {1, 2, 4} and {2, 4, 6}
• b)
  {1, 2, 3} and {2, 4, 6}
• c)
  {1, 3, 5} and {2, 4, 6}
• d)
  {1, 2, 3, 4, 5} and {2, 3, 5}

• a)
  -1, 1 + 2ω, 1 + 2ω²
• b)
  -1, 1 - 2ω, 1 - 2ω²
• c)
  -1, -1, 1
• d)
  -2, -2, -2

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

• a)
   A thiol is generally more acidic than an alcohol.
• b)
   A thiol is generally more nucleophilic than an alcohol.
• c)
   A thiolate can act as an oxidizing agent.
• d)
   A dialkyl sulfide can act as a nucleophile.

• a)
  sp³ hybridised
• b)
  sp

  2

   hybridised
• c)
  sp hybridised
• d)
  sp²d hybridised

• a)
  √2a
• b)
  4
• c)
  √62-2√35
• d)
  √66

• a)
  16 cm
• b)
  11 cm
• c)
  61 cm
• d)
  9 cm

• a)
  12,21
• b)
  36,57
• c)
  57,36
• d)
  33,21

• a)
  5
• b)
  6
• c)
  7
• d)
  8

• a)
  2/3
• b)
  1/5
• c)
  3/5
• d)
  2/5

• a)
  Primary alcohals
• b)
  Secondary alcohols
• c)
  Alkanes
• d)
  Tertiary alcohols

• a)
  H₂O
• b)
  H₂S
• c)
  NH₃
• d)
  CH₄

• a)
  all n > 1 provided x ≠ 0
• b)
  all n > 1
• c)
  all n ∈ N
• d)
  none of these

• a)
  –COOH group
• b)
  –OH group of the sugar unit
• c)
  –OH goup of the heterocyclic base
• d)
  –OH group of the phosphate unit

IdentifyX in the sequence given below :

• a)
  
• b)
  
• c)
  
• d)
  

The reading of the ammeter for a silicon diode in the given circuit is :

• a)
  0
• b)
  11.5 mA
• c)
  15 mA
• d)
  13.5 mA

In the following question, a Statement of Assertion (A) is given followed by a corresponding Reason (R) just below it. Read the Statements carefully and mark the correct answer-
Assertion(A): The points , (1,3)   and (82,30) are collinear.
Reason(R): Three points P₁,P₂,P₃ are collinear , if ∆ = 0 or x₁ (y₂-y₃) + x₂ (y₃-y₁) + x₃ (y₁-y₂) = 0 or = 0

• a)
  Both Assertion and Reason are true and Reason is the correct explanation of assertion.
• b)
  Both Assertion and Reason are true and Reason is not the correct explanation of assertion.
• c)
  Assertion is true but Reason is false.
• d)
  Assertion is false but Reason is true.

• a)
  Tellurium, germanium, silicon
• b)
  Tellurium, silicon, germanium
• c)
  Silicon, germanium, tellurium
• d)
  Silicon, tellurium, germanium

• a)
  7x²+2xy+7y²-10x+10y+7 = 0
• b)
  7x²+2xy+7y²+7 = 0
• c)
  7x²+2xy+7y²+10x-10y-7 = 0
• d)
  none of these

• A:

  South

• B:

  North

• C:

  East

• D:

  West

The answer is a.

• a)
  [Au(OH)₄]^– and [Ag(OH)₂]^–
• b)
  [Au(CN)₂]^– and [Ag CI₂]^–
• c)
  [Au(NH₃)₂]⁺ and [Ag(CN)₂]^–
• d)
  [Au(CN)₂]^– and [Ag(CN)₂]^–

• a)
  a suspension of baryta in water
  
• b)
  quicklime in caustic soda solution
• c)
  quicklime in calcium chloride solution
• d)
  slaked lime in water

• a)
  (1/√2) m/s² towards North-East
• b)
  (1/√2) m/s² towards North-West
• c)
  (1/2 )m/s² towards North
• d)
  zero

The distance, from the origin, of the normal to the curve, x = 2 cost + 2t sint, is:

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

• a)
  –4
• b)
  –3
• c)
  3
• d)
  4

• a)
  8 s
• b)
  5 s
• c)
  3 s
• d)
  2 s

• a)
  44,20
• b)
  16,48
• c)
  32,32
• d)
  50,14

• a)
  8
• b)
  9
• c)
  7
• d)
  none of these

• a)
  1/46656
• b)
  1/5184
• c)
  5/11664
• d)
  none of these

• A:

  a²

• B:

  2a²

• C:

  3a²

• D:

  0

• E:

  undefined

The answer is b.

• a)
  Dichlorocarbene
• b)
  Trichlorocarbene
• c)
  Chlorine atoms
• d)
  Chlorone molecules

• a)
  A U {0}
• b)
  R
• c)
  ϕ
• d)
  A

• a)
  Depends upon its frequency and not on its amplitude
• b)
  Depends upon its amplitude and not on its frequency
• c)
  Depends upon both, its frequency and amplitude
• d)
  Depends neither on frequency nor on its amplitude

Which of the following is the common tangent to the ellipses  + = 1 & + = 1?

• a)
  ay = bx +
• b)
  by = ax -
• c)
  ay = bx -
• d)
  by = ax -

• a)
  H⁺ + HCO₃ = H₂CO₃ = H₂O + CO2
• b)
  C₆H₁₂O₆ + 6O₂ = 6H₂O +6CO₂ + 38 ATP
• c)
  Diffusion of oxygen from the alveoli to the pulmonary vein
• d)
  Diffusion of carbon dioxide from the nephron to the renal capillary

In the reaction scheme shown below Q, R and S are the major products.

The correct structure of 

• a)
  
• b)
  
• c)
  
• d)
  

• a)
  9
• b)
  20
• c)
  25
• d)
  125

• a)
  121 : 81
• b)
  101 : 99
• c)
  100 : 1
• d)
  10 : 1

The system of confocal conics
being an arbitary constant

• a)
  Is self-orthogonal
• b)
  Has its orthogonal trajectory as
• c)
  Has its orthogonal trajectory as
• d)
  Has its orthogonal trajectory as x² + y² = a²b²

• a)
  molar conductivity
• b)
  equivalent conductivity
• c)
  specific conductivity
• d)
  conductivity

• a)
  2S (R+G)=RG
• b)
  S (R+G)=RG
• c)
  2S=G
• d)
  2G=S

• a)
  nπ/3
• b)
  nπ+(π/3)
• c)
  2nπ (π/3)
• d)
  nπ-(π/3)

• a)
  no real solutions
• b)
  exactly two real and equal solutions
• c)
  exactly two distinct real solutions
• d)
  all its solutions are real

• a)
  20 m
• b)
  18 m
• c)
  16 m
• d)
  25 m

• a)
   −E_o
• b)
   1.5E₀
• c)
   2E₀
• d)
   E₀

• a)
  Ectoderm
• b)
  Endoderm
• c)
  Mesoderm
• d)
  Both (a) and (b)