JEE

The reaction of acidified, aqueous potassium iodide with aqueous hydrogen peroxide

is thought to involve the following steps

Which one of the following conclusions cannot be drawn from this information?

• a)
  The iodide ion is oxidised by the hydrogen peroxide
• b)
  The acid acts as a catalyst
• c)
  The rate determining step is
  H₂O₂ + I − → H₂O + OI −
• d)
  The rate equation for the reaction is
  rate = k [ H ²O² ] [ I − ]

If a, b, c > 0 & x, y, z ∈ R then the determinant

• a)
   a^xb^yc^z
• b)
  a^–xb^–yc^–z
• c)
  a^2xb^2yc2^z
• d)
  Zero

In a meter bridge experiment resistances are connected as shown in the figure. Initially resistance P=4 Ω and the neutral point N is at 60 cm from A. Now an unknown resistance R is connected in series to P and the new position of the neutral point is at 80 cm from A. The value of unknown resistance R is :

• a)
  33/5 Ω
• b)
  6 Ω
• c)
  7 Ω
• d)
  20/3Ω

• a)
  The collection of most difficult topics in Mathematics is a set.
• b)
  The collection of most talented writers of India is a set.
• c)
  The collection of good cricket players of India is a set.
• d)
  A collection of vowels in English alphabets is a set.

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

• a)
  Electrons
• b)
  Protons
• c)
  Neutrons
• d)
  None of these

• A:

  0

• B:

  1

• C:

  2

• D:

  3

The answer is c.

• a)
  5 J/s
• b)
  15 J/s
• c)
  100 J/s
• d)
  115 J/s

• a)
  dm/dy = 52x³ + 15x² + 48x - 2
• b)
  dm/dy = 52x³ + 15x² - 36y² + 48x + 2y - 2
• c)
  dm/dy = 52x³ + 15x² - 36y² + 48x + 2y - 3
• d)
  dm/dy = -36x³ + 2y

• a)
  4/7
• b)
  37/56
• c)
  3/7
• d)
  3/4

• a)
  2 H
• b)
  4 H
• c)
  3 H
• d)
  8 H

If f(x) = then f(x) =

• a)
  
• b)
  
• c)
  
• d)
  x

• a)
  120 V
• b)
  200 V
• c)
  80 V
• d)
  Zero

The value of the limit

 

• a)
  9
• b)
  2
• c)
  0
• d)
  6

• a)
  2.7 x 10⁹
• b)
  2.7 x 10¹⁰
• c)
  2.7 x 10¹¹
• d)
  2.7 x 10¹²

• a)
  Wolff - Kischner reaction
• b)
  Etard reaction
• c)
  Hell - Volhard - Zelinsky reaction
• d)
  Rosenmund reaction

Which of the following compounds on heating at about gives acetic acid ?

• a)
  Succinic acid
  
• b)
  Malic acid
• c)
  Malonic acid
• d)
  Oxalic acid

• a)
  Benzene
• b)
  Cyclooctatetraenyl anion
• c)
  Tropylium cation
• d)
  Cyclopentadienyl cation

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)
  nylon-6
• b)
  nylon-6, 6
• c)
  nylon-6, 10
• d)
  nylon-6, 12

• a)
   2x ² + 7xy - 11x + 6 = 0
• b)
  2(x - 1) ² + 7(x - 1)(y - 1) - 3y ² = 0
• c)
  2(x - 1) ² + 7(x - 1)(y - 1) - 3(y - 1) ² = 0
• d)
  none of the above

• a)
  45º
• b)
  60º
• c)
  90º
• d)
  30º

• a)
  I am an advocate
• b)
  Delhi is on the Jupiter
• c)
  A half open door is half closed
• d)
  none of these

• a)
  -2
• b)
  either -2 or 1
• c)
  not -2
• d)
  1

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):
Reason(R):  

• 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)
  Manila
• b)
  Seoul
• c)
  Tokyo
• d)
  Beijing

If f(x) =  then f(x) is (where { * } represents the fractional part function)

• a)
  Continuous at x = 
• b)
   f(x) exists, but f is not continuous at x = 
• c)
  f(x) does not exist
• d)
  f(x) = 1

• a)
  NaF
• b)
  NaCl
• c)
  KBr
• d)
  CaI₂

• a)
  5
• b)
  4
• c)
  6
• d)
  3

• a)
  A, B are idempotent
• b)
  only A is idempotent
• c)
  only B is idempotent
• d)
  none of these

• a)
  
• b)
  
• c)
  
• d)
  

• a)
  -1
• b)
  -3
• c)
  2
• d)
  1

• a)
  In aqueous solution, the T1⁺ ion is  much more stable than T1 (III)
• b)
  LiAlH₄ is a versatile reducing agent in organic synthesis.
• c)
  NO⁺ is not isoelectronic with O₂
• d)
  B is always covalent  in its compounds

Diameter of a steel ball is measured using a Vernier callipers which has divisions of 0.1 cm on its main scale (MS) and 10 divisions of its vernier scale (VS) match 9 divisions on the main scale. Three such measurements for a ball are given as :

If the zero error is -0.03cm, then mean corrected diameter is :

• a)
  0.56 cm
• b)
  0.59 cm
• c)
  0.53 cm
• d)
  0.52 cm

 For r = 0, 1, ...., 10 let A_r, B_r, C_r denote, respectively, the coefficient of x^r in the expansions of (1 + x)¹⁰, (1 + x)²⁰ and (1 + x)³⁰. Then  is equal to       [JEE 2010]

• a)
   B₁₀ - C₁₀
• b)
  
• c)
  0
• d)
  C₁₀ - B₁₀

• a)
  a = 7/4, r = 3/7
• b)
  a = 2, r = 3/8
• c)
  a = 3/2, r = 1/2
• d)
  a = 3, r = 1/4

• a)
   mgR
• b)
   (1/2)mgR
• c)
   2 mgR
• d)
   (1/4)mgR

• a)
   n₁/n₂=1
• b)
   n₁/n₂=γ₁ /γ₂
• c)
  n₁/n₂=γ₂/γ₁ 
• d)
  n₁/n₂=γ₁²/γ₂²

• a)
  1947-1948
• b)
  1950-1951
• c)
  1951-1952
• d)
  1955-1956

• a)
  x is a real number
• b)
  x is a rational number
• c)
  x is an irrational number
• d)
  x is a real number ≠ 0

• a)
  6√10
• b)
  4√17
• c)
  5√10
• d)
  3√17

• a)
  a pair of perpendicular planes
• b)
  a pair of parallel planes
• c)
  a pair of straight lines
• d)
  none of these

• a)
  All stars move from east to west
• b)
  The earth rotates from west to east
• c)
  The earth rotates from east to west
• d)
  The background of the stars moves from west to east

and  be two functions and let f₁(x) = max {f(t), 0 < t < x, 0 < x <} and g₁(x) = min {g(t), 0 < t < x, 0 < x < 1}. Then the area bounded by f₁(x) < 0, g₁(x) < 0 and x-axis is 

• a)
  
• b)
  
• c)
  
• d)
  

• a)
  Gauche only
• b)
  Gauche
• c)
  Anti
• d)
  Eclipsed

• a)
   m=8,n=3   
• b)
   m=6,n=4
• c)
   m=12,n=2 
• d)
   m=2,n=12

• a)
  2/3 tan α
• b)
  2/7 tan α
• c)
  1/3 tan α
• d)
  5/7 tan α

• a)
  1
• b)
  zero
• c)
  |A|
• d)
  |A|/2

A light disc made of aluminium (a non magnetic material) is kept horizontally and is free to rotate about its axis as shown in the figure. A strong magnet is held vertically at a point above the disc away from its axis. On revolving the magnet about the axis of the disc, the disc will (figure is schematic and not drawn to scale).

• a)
  Rotate in the direction opposite to the direction of magnet’s motion
• b)
  Rotate in the same direction as the direction of magnet’s motion
• c)
  Not rotate and its temperature will remain unchanged 
• d)
  Not rotate but its temperature will slowly rise 

• a)
  Spin quantum number
• b)
  Magnetic quantum number
• c)
  Principal quantum number
• d)
  Azimuthal quantum number

• a)
  increases
• b)
  does not change
• c)
  decreases
• d)
  NaCl is decomposed

In a set of reactions p - nitrotoluene yielded a product E

The product E would be :-

• a)
  
• b)
  
• c)
  
• d)
  

• a)
  Aldehydes and ketones respectively
• b)
  Ketones and Aldehydes respectively
• c)
  Only aldehydes
• d)
  Only ketones

A source of sound moves along a circle of radius 2 m with constant angular velocity 40 rad/s. Frequency of the source is 300 Hz. A detector is kept at some distance from the circle in the same plane of the circle (as shown in figure). Which of the following is not the possible value of frequency registered by the detector? (Speed of sound = 320 m/s)

• a)
  250 Hz
• b)
  360 Hz
• c)
  410 Hz
• d)
  220 Hz

Two wires W₁ and W₂ have the same radius r and respective densities ρ₁ and ρ₂ such that ρ₂=4ρ₁. They are joined together at the point O, as shown in the figure. The combination is used as a sonometer wire and kept under tension T.The point O is midway between the two bridges. When a stationary wave is set up in the composite wire, the joint is found to be a node. The ratio of the number of antinodes formed in W₁ to W₂ is :

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

• a)
  rational number
• b)
  complex number
• c)
  integer
• d)
  prime number