Vmc Booster Test 2
December 4, 2016 | Author: amogh kumar | Category: N/A
Short Description
vmc...
Description
8/2/2015
Question Revision
Question 1. The eneyne that produces a chiral compound upon treatment with H2 in the presence of Lindlar's catalyst is:
[A]
[B]
[C]
[D]
Your Answer:
Correct Answer: B Explanation:
This is a case of chirality in terms of different substituents on the basis of geometrical configurations (will be covered in more detail in advanced stereochemistry sessions).
Question 2. At
, the solubility product (Ksp) of CaF2 in water is
. The solubility (in mol per kg of water) of the salt at the same
temperature is : [A] [B] [C] [D] Your Answer:
Correct Answer: D Explanation: Solution of sparingly soluble salt is dilute solution. For dilute solution
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A solution of 0.1 M Na2CO 3 is titrated against HCl using (1) phenolphthalein as an indicator and (2) methyl orange as an indicator. The value of
is equal to : [(Where pH(1) is pH at end point with phenolphthalein and pH(2) is pH at end point with methyl
orange) (gases are evolved off if any)][Given [A]
]
7
[B] [C] [D] Your Answer:
Correct Answer: C Explanation:
Question 4. What quantity is represented by the slope of the line in the graph of the temperature dependence of the natural log of an equilibrium constant?
[A] [B] [C] [D] Your Answer:
Correct Answer: D Explanation:
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Question 5. The plot of
versus
(where XA and YA are the mole fractions of A in liquid and vapour phases, respectively) is linear with
slope and intercept respectively are given as : [A]
[B]
[C] [D]
None of these
Your Answer:
Correct Answer: B Explanation:
Question 6. 19 g of molten SnCl2 is electrolyzed for some time, using inert electrodes. 0.119 g of Sn is deposited at the cathode. If no substance is lost during the electrolysis then find which of the following statement(s) is(are) correct ? [Atomic mass of Sn = 119, Cl = 35.5] [A] [B] [C] [D]
Equivalent of SnCl2 decomposed are equal to 0.002 Equivalent of chlorine produced are equal to 0.002 Equivalent of SnCl4 formed are equal to 0.002 Mass of SnCl2 remained after electrolysis is 18.62 g
Your Answer:
Correct Answer: A , B , C , D Explanation:
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Question 7. A cell utilizes the following cell reaction :
Which of the following will change the EMF of the cell? [A] [B] [C] [D]
When Co(II) nitrate is dissolved in the cathode compartment When Co(III) nitrate is dissolved in the cathode compartment When area of Zn(s) electrode is doubled When additional water is added to the anode compartment
Your Answer:
Correct Answer: A , B , D Explanation:
If [Co2+] is increased, Ecell will decrease If [Co3+] is increased, Ecell will increase If area of Zn(s) is doubled, Ecell will not change If additional water is added in anodic compartment, [Zn2+] will decrease and hence Ecell will decrease.
Question 8. Consider the following Bronsted acidbase reaction of some organic compounds R1 and R2.
Identify correct statement(s) : [A] [B] [C]
R2, P1 and P2 are aromatic compounds Hybridization state of N atom in both P1 and P2 is same R1 is antiaromatic
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[D]
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Both R2 and P1 contains a close loop of delocalizable
Your Answer:
Correct Answer: A , B , D Explanation: R1 is not antiaromatic it is nonaromatic.
Question 9. Use the standard reduction potentials to determine what is observed at the cathode during the electrolysis of a 1.0 M solution of KBr that contains phenolphthalein using inert electrodes. What observations is(are) made ?
[A] [B] [C] [D]
Solid metal forms Bubbles form and a pink colour appears Dark red Br 2(aq) forms Bubbles form and the solution remains colourless
Your Answer:
Correct Answer: B Explanation: Reduction of water takes place at the cathode.
Bubbles form due to evolution of
and a pink colour appears due to formation of
.
(Phenolphthalein shows pink colouration in alkaline medium).
Question 10. Which of the following plot(s) is correct for first order reaction? ( r = rate at time 't' and r 0 is the initial rate, k = rate constant, t = temperature).
[A]
[B]
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[C]
[D]
Your Answer:
Correct Answer: A , B , C , D Explanation:
Question 11. Mercuric iodide is added to an aqueous solution of potassium iodide. Identify the correct statement(s). [A] [B] [C] [D]
A complex species is formed Number of solute particles increase Freezing point is raised Boiling point is lowered
Your Answer:
Correct Answer: A , C , D Explanation:
When complex ions are formed their solutions show abnormally low colligative effects than expected because they contain fewer particles of solute than would otherwise be present. When a little is added to potassium iodide solution the number of solute particles decreases, and there is low value of colligative properties i.e. freezing point is raised and boiling point is lowered.
Question 12. Consider the following sequence of reactions and identify correct statement(s)
[A]
In
, NO group shows I, +R and R electronic effects
[B]
In
,
group shows I and R electronic effects
[C]
In
,
group shows I and +R electronic effects
[D]
In
,
group shows I and R electronic effects
Your Answer:
Correct Answer: B , C http://www.vidyamandir.com/questionRevision.do?actionName=displayQuestionList&testIds=8a0aa06d4ec577d4014ed40abba253dd&tName=JEE%202016%…
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Explanation: NO is a deactivating group.
Question 13. In the three step endothermic reaction
than which of the following statements are correct? [A] [B] [C] [D]
StepI is favoured by high temperature and low pressure StepII is favoured by low temperature and high pressure StepII is favoured by high pressure and high temperature StepIII is favoured by high pressure and high temperature
Your Answer:
Correct Answer: A , C , D Explanation: NA
Question 14. Equal volumes of following solutions are mixed, in which case the pH of resulting solution will be average value of pH of two solutions ? [A] [B] [C] [D]
pH = 3(HNO 3) and pH = 5 (HNO 3) pH = 2(HNO 3) and pH = 12 (KOH) pH= 4.5 (CH3COOH) and pH = 9.5 (NH3)(aq) [Ka(CH3COOH)=Kb(NH4OH)] pH=3(HCN) and pH = 11 (NaOH) [Ka of HCN=1010]
Your Answer:
Correct Answer: B , C Explanation:
Question 15. Which of the following statements is (are) correct about halflife period? [A] [B] [C]
It is proportional to initial concentration for zeroth order Average life = 1.44 halflife for first order reaction Time of 75% reaction is thrice of halflife period in second order reaction
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[D]
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99.9% reaction takes place in 100 minutes for the case when rate constant is 0.0693 min 1
Your Answer:
Correct Answer: A , B , C , D Explanation:
Question 16. At 298 K, the EMF of the cell: is 0.7530 V. The standard potential of the calomel electrode is 0.2802V. The pH of the solution is _____________. Your Answer:
Correct Answer: 8 Explanation:
Question 17. How many bond electron pairs are localized in the planar cyclic organic compound (P).
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Your Answer:
Question Revision
Correct Answer: 2 Explanation:
2 pair of electrons (1 each for the sp carbon bonds) will remain localized.
Question 18. A mixture (X) of isomeric organic compound having molecular formula C4H8, on reaction with Br 2 dissolved in CCl4 produces a mixture containing five isomeric products having molecular formula C4H8Br 2. The number of isomeric organic compounds in the mixture (X) is ____________. Your Answer:
Correct Answer: 3 Explanation:
Question 19. How many stereocentres does the following molecule contain?
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Your Answer:
Question Revision
Correct Answer: 9 Explanation:
Question 20. How many milli moles of gaseous substances would be formed during electrolysis of aqueous
using inert electrode by
passing a current of 10 milli amp with current efficiency 50% for 965 min? (Assume no reaction between product of electrolysis, if any). Your Answer:
Correct Answer: 6 Explanation:
Question 21. A time varying force F = 2t is applied on spool as shown in figure and it rolls without sliding as friction is sufficient. The angular momentum of spool at time t about bottom of spool is :
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[A]
[B] [C] [D]
Insufficient data
Your Answer:
Correct Answer: C Explanation:
Question 22. The current through
resistance is zero.
The value of E is :
[A] [B] [C] [D]
24V 36 V 42 V 45 V
Your Answer:
Correct Answer: C Explanation: http://www.vidyamandir.com/questionRevision.do?actionName=displayQuestionList&testIds=8a0aa06d4ec577d4014ed40abba253dd&tName=JEE%202016…
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and
are in parallel, so current in
is also zero, they can be removed. And the currents are as shown :
Question 23. At t = 0, a stone (of mass m) is released from the top of a building of height h. At time t, kinetic energy of the particle is 3 times the potential energy of the particle w.r.t. the ground. Average power delivered to the particle between t = 0 and t = t equals : [A]
[B]
[C]
[D]
Your Answer:
Correct Answer: A Explanation: At time t, it has fall through 3/4th height of total height h
Average power delivered =
Average power =
Question 24. A ring of radius
has charge
through the centre of a solid sphere of radius
uniformly distributed on its circumference. The axis of the ring passes which has charge
uniformly distributed within its volume. The distance
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between the two centre of the ring and the sphere is
. There is a very thin tunnel MN along the axis of the ring through the
centre of the solid sphere.
What is the value of
so that there is a null point at M.
[A] [B] [C] [D] Your Answer:
Correct Answer: B Explanation:
Question 25. A ring of radius
has charge
through the centre of a solid sphere of radius between the two centre of the ring and the sphere is
uniformly distributed on its circumference. The axis of the ring passes which has charge
uniformly distributed within its volume. The distance
. There is a very thin tunnel MN along the axis of the ring through the
centre of the solid sphere.
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With what minimum velocity
should a particle of mass 20 gm and charge
should be projected from the centre of the
ring along its axis so that it may be able to enter the tunnel. [A] [B] [C] [D]
6m/s 60 m/s 300 m/s 500 m/s
Your Answer:
Correct Answer: B Explanation:
Question 26. Two charges Q 1 and Q 2 placed at (0, 0, 0) and (a, 0, 0) are such that xcomponent of field is zero at (a/2, a, 0). y component of field will be zero at : [A] [B] [C] [D] Your Answer:
Correct Answer: A , B , C Explanation:
The x component can not be zero if the both the changes are of opposite sign.] From the figure, it follows
as x component of E1 and E2 equal.
at all points in the x z plane, the ycomponent of field will be zero
Question 27. An uncharged capacitor having capacitance C is connected across a battery of emf V. Now the capacitor is disconnected and then reconnected across the same battery but with reversed polarity. Then : [A]
after reconnection, thermal energy produced in the circuit will be equal to 2CV2
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[B] [C] [D]
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after reconnection, thermal energy produced in the circuit will be equal to twothird of the total energy supplied by the battery after reconnection, no energy is supplied by the battery after reconnection, energy produced by the battery is converted into heat
Your Answer:
Correct Answer: A , B , D Explanation:
Question 28. When the terminals of a cell of emf 1.5 V are connected to an ammeter of resistance following statements are correct? [A] [B] [C] [D]
, the ammeter reads 0.30 amp. Which of the
The cell is nonideal If a resistor is also connected across terminals of the cell, the ammeter will read 0.50 amp If a resistor is also connected across the terminal of the cell, onethird of the electrical power generated will dissipate as heat within the cell If a voltmeter of resistance is used to measure potential difference between terminals of the cell, it will read 1.2 V
Your Answer:
Correct Answer: A , C , D Explanation:
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Question 29. The electric potential in a region along the xaxis varies with x according to the relation [A] [B] [C] [D]
. Then :
potential difference between the points x = 1 and x = 2 is 15 V force experienced by a one coulomb charge at will be 10 N the force experienced by the above charge will be towards +xaxis a uniform electric field exists in this region along the +xaxis
Your Answer:
Correct Answer: A , B , C Explanation:
Question 30. E and V one the electric field and electric potential at O if the linear charge density of the system is
:
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[A]
[B]
[C]
[D]
Your Answer:
Correct Answer: A , C Explanation:
Question 31. Five identical conducting plates are fixed parallel to and equidistant from other. Given d = distance between any two successive plates and A = area of either face of each plate.
[A] [B]
Total charge on plate 3 is 4 times the total charge on plate 1 Total charge on plate 2 is negative
[C]
Charge on the upper surface of plate 5 is
[D]
Charge on the lower surface of plate 1 is zero
Your Answer:
Correct Answer: A , B , D Explanation:
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Charge drawn from the battery =
Total charge on plate 1 = Charge at h Total charge on plate 2 = Charges at f and g (sum)
Total charge on plate 3 = charges at d and e =
= 4
times the total charge on plate 1
Question 32. Three identical spheres are in a straight line on a table and one moves towards the other two which are at rest and not in contact, if , then :
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[A] [B] [C] [D]
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there are two impacts between them there are three impacts between them the ratio of their final velocities is 13 : 15 : 63 the ratio of their final velocities is 13 : 15 : 36
Your Answer:
Correct Answer: B , D Explanation:
Third collision between A and B :
A and B will collide again
and
B and C will not collide again
Ratio of final velocities =
= 13 : 15 : 36
Question 33. A sphere of mass 2.8 kg is rolling without slipping on an inclined plane of angle [A]
the minimum coefficient of friction required is
[B] [C]
the translational kinetic energy is always greater than rotational kinetic energy the friction force on the sphere is 4.8 N
[D]
the acceleration of the sphere is
Your Answer:
from horizontal. Choose the correct statement(s).
Correct Answer: B , C , D Explanation:
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Question 34. In the adjacent figure, a uniform rod of length and mass m is kept at rest in horizontal position on an elevated edge. The value of x (consider the figure) is such that the rod will have maximum angular acceleration , as soon as it is set free.
[A]
x is equal to
[B]
is equal to
[C]
is equal to
[D]
x is equal to
Your Answer:
Correct Answer: A , C Explanation:
Question 35. A capacitor of
is charged to a potential of 100 V. Now, this charged capacitor is connected to battery of 100 V with positive
terminal of battery connected to negative plate of the capacitor. For the given situation, mark the correct statement(s). http://www.vidyamandir.com/questionRevision.do?actionName=displayQuestionList&testIds=8a0aa06d4ec577d4014ed40abba253dd&tName=JEE%202016…
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[A]
The charge flown through 100 V battery is
[B] [C] [D]
The charge flown through 100 V battery is Heat dissipated in the circuit is 0.1 J Work done on the battery is 0.1 J
Your Answer:
Correct Answer: B , C Explanation: Change supplied by battery =
Heat =
Question 36. The resistivity of rod of length l and of uniform crosssection varies linearly from potential difference of V volts is maintained across the rod. The electric field at a distance
Your Answer:
from one end A to the other end B. A from end A is
. Find n.
Correct Answer: 6 Explanation:
Question 37. A small sphere of mass m = 0.5 kg carrying a positive charge
is connected with a light, flexible and inextensible string of
length r = 60 cm and whiled in a vertical circle. If a vertically upward electric field of strength
exists in the space,
calculate minimum velocity of sphere required at highest point so that it may just complete the circle. Your Answer:
Correct Answer: 6 Explanation:
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Question 38. AB is a horizontal diameter of a ball mass m = 0.4kg and radius R = 0.10m. At time t = 0, a sharp impulse is applied at B at angle of with the horizontal, as shown in fig., so that ball immediately starts to move with velocity
. Find the velocity of the
ball when sliding ceases and pure rolling begins.
Your Answer:
Correct Answer: 0 Explanation:
At
horizontal and vertical component of impulse are equal (= I let)
By horizontal component of impulse, I = mV0 Angular impulse by vertical component =
Let
...... (i)
be velocity of centre and angular velocity respectively when pure rolling begins after time t
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ball will stop permanently
Question 39. A disc 'A' of mass M is placed at rest on the smooth incline surface of inclination
. A ball B of mass m is suspended vertically from
the centre of the disc A by a light inextensible string of length
as shown in the figure. If the acceleration of the disc B immediately
after the system is released from rest is
The value of k is :
Your Answer:
Correct Answer: 1 Explanation:
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Question 40. In the circuit shown in figure, find the value of
Your Answer:
in Volt.
Correct Answer: 8 Explanation:
Question 41. If
(C being the constant of integration). Then :
[A]
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[B]
is continuous for all
[C]
[D]
Your Answer:
Correct Answer: C Explanation:
Question 42. If [A] [B] [C] [D]
, then the value of
is equal to :
0 2207 1
Your Answer:
Correct Answer: D Explanation:
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Solution of the equation
[A] [B] [C] [D]
is equal to :
2 3 4 5
Your Answer:
Correct Answer: A Explanation:
Question 44.
The values of a and b for which the function
is continuous for
, are :
[A] [B] [C] [D] Your Answer:
Correct Answer: B Explanation:
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Question 45. If
and
both are
differentiable at x = 0, then g(x) is non differentiable at x is equal to : [A] [B] [C] [D]
4
Your Answer:
Correct Answer: B Explanation:
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Question 46. Consider a variable line 'L' which passes through the point of intersection 'p' of the lines meeting the coordinate axes at points A and B : [A]
and
then the locus of middle point of the segment AB has the equation then the locus of the feet of the perpendicular from the origin on the variable line 'L' has the equation
[B] [C]
Locus of the centroid of the variable triangle OAB has the equation (where 'O' is the origin)
[D]
Locus of the centroid of the variable triangle OAB has the equation (where 'O' is the origin)
Your Answer:
Correct Answer: A , B , C Explanation:
Question 47. Let x, y be real variable satisfy the
Let a = max
and b = min
, then : [A] [B] [C] [D] Your Answer:
Correct Answer: A , C , D http://www.vidyamandir.com/questionRevision.do?actionName=displayQuestionList&testIds=8a0aa06d4ec577d4014ed40abba253dd&tName=JEE%202016…
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Explanation:
Question 48. Let A, B, C, D, lie on a line such that AB = BC = CD = 1. The points A and C are also joined by a semicircle with AC as diameter and P is a variable point on this semicircle such that . Let R is the region bounded by are AP, the straight line PD and line AD [A]
The maximum possible area of region R is
[B]
If 'L' is the perimeter of region 'R', then L is equal to
[C]
The maximum possible area of region R is
[D]
If 'L' is the perimeter of region 'R', then L is equal to
Your Answer:
Correct Answer: A , B Explanation:
Question 49. If [A] [B] [C] [D]
then : number of solutions is 7 number of solutions is 6 number of integral solutions is 5 number of integral solutions is 6
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Your Answer:
Question Revision
Correct Answer: A , C Explanation:
Question 50. If f (x) and h(x) are odd function and g(x) is even function, then which of the following is odd function : [A] [B] [C] [D] Your Answer:
Correct Answer: B , C , D Explanation:
Question 51. If f :
satisfies condition
, then :
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[A] [B] [C]
Question Revision
f (x) is onto function f (x) is oneone function f (x) is an odd function
[D]
and
Your Answer:
are identical
Correct Answer: A , B , C , D Explanation:
Question 52. Let f : [A] [B]
and let
[C]
f (x) is oneone function f (x) is odd function g (x) is continuous is
[D]
f (x) is continuous for all
Your Answer:
, then :
Correct Answer: B , C , D Explanation:
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Question 53. If
, then which of the following is(are) false ?
[A] in the domain of f (x)
[B] [C]
f (x) is identical to
[D]
Number of roots of equation
Your Answer:
is less than 2
Correct Answer: A , D Explanation:
Note that x = 0 is not in domain of
Case I : If x > 0, let
Now let
Case II : x
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