Mains 11 Safrdarjung

21/07/2015 Question Revision

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Question 1.Which of the following sets of reagents is necessary to carry out the following conversion?

[A]

[B]

[C]

[D]

Question 2.What is the major products [X] of the given reaction?

[A]

[B]

[C]



[D]

Question 3.Which of the following CH bonds would have the smallest bond dissociation energy?

[A]

[B]

[C]

[D]

Question 4.Cyclohexane floats over surface of water because :

[A] It has boat shape structure[B] It has six membered rings like structure[C] It is insoluble in water[D] It is less dense than water

Question 5.Identify final product [Y] in the given sequence of reactions.

[A]

[B]

[C]



[D]

Question 6.200 of an aqueous solution of a protein contain 1.26 g of the protein. Which of the following technique is most useful fordetermination of most accurate molar mass of protein?

I. Technique of elevation of boiling point II. Technique of osmotic pressure determinationIII. Technique of depression in freezing point IV. Technique of relative lowering of vapour pressure[A] I, III[B] II, IV[C] only II[D] I, II, III, IV

Question 7.The disproportionation of hypochlorite into chlorate ion and chloride takes place by following mechanism.

Which of the following is correct rate expression for disproportionation of into and ?

[A]

[B]

[C]

[D]

Question 8.If we dissolve 1 mol KCl(74.5 g), in 1kg water and determine its molecular mass by elevation in boiling point method then theexperimentally determined molecular mass by elevation in boiling point method is lower than the true value. This abnormality in molecularmass is due to

[A] Evaporation of some molecules of KCl on boiling the solution[B] Dissociation of KCl molecules into and ions

[C] Formation of crystals of hydrated salt [D] Increase in concentration of solution on boiling

Question 9.Colourless solution of on mixing with yellow coloured solution produce red coloured precipitate of

. If these two solutions are separated by semipermeable membrane as shown in figure then in which of the following

condition red precipitate of will be formed :



[A] Red precipitate is formed in left hand side compartment (I) when 0.1 M solution and 0.01 M solutionsare taken.

[B] Red precipitate is formed in right hand side compartment (II) when 0.01 M solution and 0.1 M solutionare taken.

[C] Red precipitate is formed in both compartment when 0.2 M solution and 0.1 M solution are taken.

[D] Red precipitate will not formed in any compartment irrespective of concentration of solution and solution.

Question 10.

For a general reaction , plot of concentration of A vs time is given in figure. Mark the incorrect statement on the basis ofthis graph.

I. Order of reaction is zero order

II. Unit of rate constant is time1

III. Slope of the curve is

IV. Halflife of reaction is constant

The correct choice is :

[A] Only I[B] II, I[C] III, I[D] II, III, IV

Question 11.How will the pH of brine (aq. NaCl solution) be affected when it is electrolyzed by using platinum electrode?

[A] pH decreases[B] pH increases[C] pH remain unchanged[D] pH becomes half

Question 12.The constituents of wine contain, among others, carbon, hydrogen and oxygen atoms. A bottle of wine was sealed about 6 years ago. Toconfirm its age, which of the isotope would you choose in a radioactive dating study? The halflives of the isotopes are



years, ; years. Assume that the activities of the isotopes were known at the time the bottle was sealed.

I. II. III.


[A] Only I[B] Only III[C] Both I and II[D] I, II and III

Question 13.Which of the following physical techniques is used for obtaining the pure solvent (water) from an aqueous solution?

I. Distillation II. Freezing

III Reverse Osmosis IV Crystallization


[A] Only III[B] I and III[C] III and IV[D] I, II and III

Question 14.The ratio of value of any colligative property for solution to that of solution is nearly (assume completeionization)

[A] 0.57[B] 0.29[C] 0.30[D] 0.08

Question 15.In the adjacent diagram the electrolytic cell contains 1L of an aqueous 1M copper (II) sulphate solution. If 0.4 mole of electrons passesthrough the cell, the concentration of copper ions after passage of the charge will be (assume no change in volume of electrolyte solution)

[A] 0.4 M[B] 0.8 M[C] 1.0 M[D] 1.2 M

Question 16.

The reaction : occurs in the galvanic cell :

[A]

[B]



[C]

[D]

Question 17.

The reaction of peroxydisulphate ion with iodide ion is :

From the following data collected at a certain temperature, determine the rate law of the reaction.

[A]

[B]

[C]

[D]

Question 18.

Consider the general reaction :

and the following average rate data over a specific time period :

;

;

Determine a set of possible coefficient to balance this general reaction

[A]a b c

3 2 4[B] 2 3 4[C] 4 3 2[D] 3 4 2

Question 19.The equivalence point of titration of HI solution with KOH solution is determined conductometrically by measuring the conductance of thesolution at various stages of the titration and plotting a graph. Which of the following graph is correct?



[A]

[B]

[C]

[D]

Question 20.The magnitude (but not the signs) of the standard reduction potentials of two metals x and y are

;

When the half cells x and y are connected, electrons flow from x to y. When x is

connected to a SHE, electrons flow from x to SHE.

Which of the following statements is(are) INCORRECT?

I. Eo for x is negative and Eo for y is positive

II. The standard emf of a cell made up of x and y half cells is 0.09V.

III. Eo for x is positive and Eo for y is negative

IV. In electro chemical cell made up of half cells x and y, anode is y halfcell and cathode is x halfcell.


[A] Only III[B] Only I[C] I, II and III[D] II, III and IV

Question 21.Lead storage batteries are rated by ampere hours, that is, the number of amperes they can deliver in an hour. The lead anodes of acertain lead storage battery have a total mass of 406 g. Calculate the maximum theoretical capacity of the battery in ampere hours.[Atomic mass : Pb = 207]

[A] 52.5 A.h[B] 105 A.h[C] 150 A.h[D] 160 A.h

Question 22.Which of the following has nonzero value for ideal liquid solution?



I. II. III. IV.

The correct choice is ;

[A] Only III[B] III, IV[C] I, II[D] I, II, IV

Question 23.Which of the following is useful as an antifreeze, but it should be removed from the car radiator during the summer season?

[A] Ethylene glycol[B] Methanol[C] Both (A) and (B)[D] None of these

Question 24.

The specific rate constant of decomposition of a compound is represented by

The activation energy of decomposition for this compound at 300 K is :

[A] 24 kcal/mole[B] 12 kcal/mole[C] 24 cal/mole[D] 12 cal/mole

Question 25.The freezing point depression constant for water is 1.86 K kg mol1. The freezing point of solution when 0.01 mol glucose is added to 1 kgwater is :

[A]

[B]

[C]

[D]

Question 26.

For the concentration cell the EMF (E) of the cell at a temperature (T)

equals :

[A]

[B]

[C]

[D]

Question 27.When an aqueous solution freezes,

[A] usually it is the solute that solidifies first[B] the solvent and the solute solidify at the same time[C] it is the water that solidifies first[D] the vapour pressure of the solvent becomes abnormally high



Question 28.The equivalent conductance of an infinitely dilute solution of is 150 ohm1cm2 and the ionic conductances of and

ions are 198 and respectively. If the equivalent conductance of a 0.01 N

solution is 9.6 , what will be its degree of dissociation?

[A] 0.35[B] 0.035[C] 0.0035[D] 0.17

Question 29.For a first order homogeneous gaseous reaction

The initial pressure was while pressure after time t, was p. Which of the following is correct expression of rate constant k?

[A]

[B]

[C]

[D]

Question 30.Consider the following conversion and identify correct order of sequence of reactions.

[A] A[B] B[C] C[D] D

Question 31.Somewhere in a circuit there is a resistor. A constant current is flowing in the direction as indicated in figure. In going from A to B, we

measure . What do we find ?


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[A] A positive value[B] A negative value[C] Zero[D] We do not have enough information to answer

Question 32.

A solid insulating sphere of radius R has a nonuniform charge density that varies with according to the expression , where

A is a constant and r is measured from the centre of the sphere. ( unit vector away from the centre).

The electric field outside the sphere is : (r > R)

[A]

[B]

[C]

[D]

Question 33.



The electric potential inside (r < R) the sphere is: [The electric potential at infinity is assumed to be zero]

[A]

[B]

[C]

[D]

Question 34.



The electric potential outside the sphere is: (r > R)



[A]

[B]

[C]

[D]

Question 35.In these three circuits all the batteries are identical and have negligible internal resistance, and all light bulbs are identical. Rank 5 lightbulls in order of brightness from brightest to dimmest.

[A][B][C][D] None of these

Question 36.A parallel plate capacitor has plate area and separation . It is charged to potential difference .

The charging battery is disconnected and the plates are pulled apart to three times the initial separation. The work required to separatethe plates is :

[A]

[B]

[C]

[D]

Question 37.

An Ammeter has resistance and range I. What resistance should be connected in parallel with it to increase its range to ?

[A]

[B]



[C]

[D]

Question 38.Consider the situation shown in figure. The switch is closed at t = 0 when the capacitors are uncharged. The charge on the capacitor C1as a function of time t

[A]

[B]

[C]

[D]

Question 39.Two identical conducting spheres are held at a distance d apart from each other. The charge on the first sphere is The charge

on the second sphere is The electrostatic force between the two sphere is 8 N. Now, suppose a very thin conducting wire isbriefly attached to connect the two spheres and then removed. What is the electrostatic force between the two spheres (in N) after thishas been done?

[A] Increases[B] Decreases[C] Remains same[D] Cannot be said

Question 40.A resistancecapacitor network is shown in the figure. The charge on the capacitors C1 and C2 are Q1 and Q2 respectively. The valuesof Q1 and Q2 are :



[A]

[B]

[C]

[D]

Question 41.A parallel plate capacitor is charged and charging battery is removed. If the plates of capacitor are now moved farther apart by insulatinghandles. Choose the CORRECT alternative :

[A] Charge on capacitor increases[B] Potential difference across capacitor remains same[C] Capacitance increases[D] Energy stored in capacitor increases

Question 42.A point charge q is placed at a distance 2r from the centre O of a conducting uncharged sphere of radius r. Potential of induced chargesat point P (lying in a line joining the point charge and centre of sphere) is :

[A]

[B]

[C]

[D] None of these

Question 43.

A circular portion is cut out of a disc of thickness t, its resistivity is and radii of disc are a and b Then the equivalent

resistance between the two cylindrical surfaces is :

[A]

[B]

[C]

[D]

Question 44.



A solid conducting sphere has a charge and is surrounded by a neutral concentric hollow conducting spherical shell of double

the radius. The potential difference between the solid sphere and the shell is V. The shell is, now given a charge ; the newpotential difference between them will be :

[A] V[B][C][D]

Question 45.Three charged capacitors, and two open switches, S1 and S2 are assembled into anetwork with initial voltages and polarities, as shown, Final status of the network is attained when the two switches, S1 and S2 are closed.Then the final charge on capacitor C2 (in ), is closest to :

[A] Zero[B] 410[C] 1200[D] 1360

Question 46.For the circuit shows in the figure, the power dissipated in the resister is :

[A] 36 W[B] 18 W[C] Zero[D] 11 W

Question 47.Figure shows three similar capacitors connected to a battery for a long time as shown in figure when switch(s) is at 1. Now switch isthrown from point 1 to 2 for a long time then work done by the battery for this process is :



[A]

[B]

[C]

[D]

Question 48.In a parallel plate capacitor, the region between the plates is filled by a dielectric slab. The capacitor is connected to a cell for sufficientlylong time. Now the slab is taken out slowly. While the slab is being taken out, which of the following is correct :

[A] Some change is drawn from the cell[B] No work is done by an external agent in taking the slab out[C] Some charge is returned to the cell[D] The potential difference across the capacitor is reduced.

Question 49.Six identical plates each having area A are placed at equal separations d. Then the equivalent capacitance between A and B is :

[A]

[B]

[C]

[D] None of these

Question 50.

The change in current through branch AB, if a resistance is connected to the existing resistance (in CD) is ,

find the value of x.

[A] 3[B] 2[C] 1[D] 5



Question 51.Three identical capacitors are connected together for the same voltage to every combination, the one that stores maximum energy is :

[A] The three in parallel[B] The three in series[C] Two in parallel with the third in series with it[D] Two in series with the third in parallel with it

Question 52.A battery of emf E is connected to a system as shown in figure. To what maximum charge will the capacitor C be finally charged ?(Neglect the battery's internal resistance)

[A]

[B]

[C]

[D]

Question 53.Consider an RC circuit as shown below :

The capacitance of the capacitor shown is :

[A] units

[B] units

[C] units

[D] units




Choose the correct statement :

I. Before the switch was closed, 10V battery was getting discharged and 6V was getting charged

II. Just after the switch is closed, both the batteries are discharging.

III. After a long time, battery of 10 V will be getting discharged and 6V battery will be getting charged.


[A] I, II, III[B] I and III[C] I and II[D] II and III


The current through 10V battery just after the switch is put on is :

[A]

[B] 0 A

[C]

[D]

Question 56.

Two capacitors of capacitances are connected in parallel across a battery. If respectively be the

charges on the capacitors, then will be equal to :



[A]

[B]

[C]

[D]

Question 57.For the circuit shown in the figure the potential difference between points is :

[A]

[B]

[C]

[D]

Question 58.Two capacitors of capacitance are connected in series across a 90V DC supply. Now, if the supply voltage is

removed and the capacitors are connected in parallel such that positive plates are connected together, the final charge on the capacitor is :

[A]

[B]

[C]

[D]

Question 59.In the given circuit, Volts. Then :



[A] Volts

[B] Volts

[C] Charge on capacitor is [D] E = 10 Volts

Question 60.Figure shows a meter bridge, wire AC has uniform cross section. The length of wire AC is . X is a standard resistor of

and Y is a coil. When Y is immersed in melting ice the null point is at from point A. When the coil Y is heated to 100oC a

resistor has to be connected in parallel with Y in order to keep the bridge balanced at the same point. Temperature coefficient ofresistance of the coil is :

[A]

[B]

[C]

[D]

Question 61.

If , then the range f (x) is :

[A][B] 0, 1[C]

[D]

Question 62.

Range of the function f defined by (where [.] and . respectively denote the greatest integer and the fractional

part function) is :

[A] I, the set of integers



[B] N, the set of natural numbers[C] W, the set of whole numbers[D] None of these

Question 63.

If f : , is defined by , where [x] denotes the integer part of x, then the range of f (x) is :

[A]

[B]

[C][D] None of these

Question 64.

Let , then the equation in variable y, has :

[A] no real root[B] one real root[C] two real roots[D] more than two real roots

Question 65.

If x and y satisfy the equations and simultaneously, then is :

(where [ ] represents integral part function)

[A] 21[B] 9[C] 30[D] 12

Question 66.

If where , then the number of points of discontinuities of is :

[A] 1[B] 2[C] 3[D] Infinite

Question 67.Let f (x) be defined as follows :

If f (x) is continuous at x = 0, then (a, b) =

[A]



[B]

[C] (e, e)

[D]

Question 68.

Let and .

The function is discontinuous at :

[A] Infinitely many points[B] Exactly one point[C] Exactly three points[D] No point

Question 69.

If and f is inverse of g, then is equal to :

[A]

[B]

[C]

[D] None of these

Question 70.

If and [x] is the greatest integer less than or equal to x, then is equal to :

[A] 0[B] 1

[C]

[D]

Question 71.

If the function has exactly three points of nonderivability, then :

[A]

[B]


Question 72.



If for all x, y a differentiable function f is defined by and then

[A] 0[B] x[C]

[D]

Question 73.

The tangent at any point on the curve meets the axes in P and Q. The locus of the mid point of PQ is :

[A]

[B]

[C]

[D]

Question 74.

The slope of the tangent to the curve at is :

[A] 0

[B]

[C]

[D]

Question 75.

If the normal to the curve at x = 0 be given by the equation , then the value of

[A]

[B]

[C]

[D]

Question 76.

Anti derivative of the function is :



[A]

[B]

[C]

[D]

Question 77.

If then is equal to :

[A]

[B]

[C]

[D]

Question 78.

is a polynomial function and and , then :

[A]

[B]


Question 79.

The exhaustive set of critical points of the function is :

[A]

[B]

[C]

[D] None of these

Question 80.

The global minimum value of function in is :

[A] 0[B][C][D]



Question 81.

If the integral then a is equal to :

[A] 1[B] 2[C][D]

Question 82.

for then

[A]

[B]

[C]

[D]

Question 83.

[A]

[B]

[C]

[D]

Question 84.

[A]

[B]

[C]

[D]



Question 85.

then A =

[A]

[B]

[C]

[D]

Question 86.

The antiderivative of is g(x) and the curve passes through , then the curve

meets the yaxis is :

[A] (0, 2)[B][C] (0, 1)[D]

Question 87.

[A]

[B]

[C]

[D]

Question 88.

[A]

[B]



[C]

[D] None of these

Question 89.

[A]

[B]


Question 90.

[A]

[B]

[C]

[D] None of these

Mains 11 Safrdarjung

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