adv 5 paper 1

1/13/2016 Question Revision

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Question 1.Consider the conversion of a metal halide to .

Identify correct statement(s) for above conversion.

[A] is more ionic whereas is more covalent

[B] For thalium halide, is more stable and is less stable[C] For lead iodide forward reaction is not possible[D] In a group of pblock, oxidizing power of increases on moving down the group in periodic table

Question 2.Which of the following reaction produce tertbutyl benzene?

[A]

[B]

[C]

[D]

Question 3.

Two isomeric octahedral complex has the empirical formula and conductance measurement indicate that

there are two ions per formula unit. Which of the following statement(s) is(are) correct about these isomeric complexes ?

[A] Aqueous solution of both complexes do not form white precipitate of on reaction with

[B] One of the isomer forms a pale yellow precipitate of AgBr with solution[C] In one of the isomer coordination sphere is a cation[D] In one of the isomer coordination sphere is an anion

Question 4.Which of the following is(are) correct?

[A] can shows coordination isomerism

[B] can shows linkage isomerism

[C] can shows ionization isomerism

[D] can shows hydrate isomerism

Question 5.Which of the following atomic orbital can overlap with an atomic orbital of the same type on an adjacent atom (both atoms lie on the x axis)to give a bond?


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[A]

[B]

[C]

[D]

Question 6.

Which of the following is(are) product(s) of dehydration of the compoun

[A]

[B]

[C]

[D]

Question 7.

[A]

[B]

[C]

[D]

Question 8.In which of the following reaction, product is used as monomer for synthesis of polymer?

[A]


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[B]

[C]

[D]

Question 9.For an isothermal free expansion of an ideal gas into vacuum, which of the following is(are) correct?

[A][B] w = 0[C][D]

Question 10.Consider the following reaction sequence:

Identify the correct statement(s) for above reaction sequences.

[A] Formation of onitrophenol and pnitrophenol is electrophilic substitution reaction[B] Hydroxy group is ortho and para directing[C] Mixture of onitrophenol and pnitrophenol can be separated by steam distillation[D] The overall yield for the formation of phydroxy acetanilide [X] and ohydroxy acetanilide from phenol is nearly 57% and 20%

respectively

Question 11.In the gas phase, the ratio of excluded volume to molecular volume for a spherical molecule is________.

Question 12.The pKa values of are 2.12, 7.30 and 12.67 respectively. The pH of a phosphate buffer containing 0.2 M and

0.1 M is nearly_________. [log 2 = 0.30]

Question 13.A quantitative method to determine phosphate levels in aqueous solution involves adding ammonium molybdate , toform a precipitate of ammonium molybdophosphate. The structure of this solid is based on a cuboctahedron. A molybdenum atom lies ateach vertex of the cuboctahedron and these are joined by oxygen atoms with every edge of the cuboctahedron being bridged by anoxygen atom. A further oxygen atom is joined to every vertex. A single phosphate unit lies at the centre of the structure with each of itsfour oxygen atoms coordinating to three molybdenum atoms. What is ratio of number of molybdenum ions to the number of ammoniumions in the solid?


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Question 14.

The deBroglie's wave length of He at T1K is 500 and that of Ne at T2K is 100 . The numerical value of is ________.

[Atomic mass : He = 4, Ne = 20]

Question 15.Phosphorous trichloride can be prepared by reaction of white phosphorous with thionyl chloride. How many moles of reacts

with one mole of to gives phosphorous trichloride?

Question 16.How many isomeric ketone having molecular mass 100 on reaction with NaOH and I2 form yellow precipitate and also form racemicmixture on reduction with ?

Question 17.Hexahydrocoronene has a close loop of delocalizable (4n + 2) electrons. What is value of n?

Question 18.

How many of the following on reaction with having labeled carbon atom gives brisk effervescence due to

gas having non labeled carbon atom ? [' *' It indicate labeled carbon atom (C14)]


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Question 19.MATCH THE FOLLOWING LISTS :

Column 1 Column 2A : Carbondioxide 1 : Resonance

B : Ozone 2 :

C : Boron trifluoride 3 : One of the contributors has positive formal charge onmore electronegative atom.

D : Carbon monoxide (CO) 4 : bond5 : One of the contributor has double bond

Question 20.MATCH THE FOLLOWING LISTS :

Column 1 Column 2

A : 1 : Aromatic product

B : 2 : Free radical reaction

C : 3 : Gaseous product

D : 4 : Elimination reaction

5 : Ionic reaction

Question 21.A pendulum is constructed from two identical uniform thin rods A and B each of length L and mass m, connected at right angles to form aT by joining the centre of rod A to one end of rod B. The 'T' is then suspended from the free end of rod B and the pendulum swings in theplane of the 'T'.


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[A] The moment of inertia of the 'T' about the axis of rotation is .

[B] The moment of inertia of the 'T' about the axis of rotation is

[C] The period of small angular oscillations of 'T' is

[D] The angular frequency of ' T' for small angular oscillations is

Question 22.A long straight wire carries a current along the Xaxis. Consider four points P(0, 1, 0), Q(0, 1, 1), R(1, 0, 1) and S(1, 1, 1). Which of thefollowing pairs of points will have magnetic fields of the same magnitude?

[A] P and Q[B] P and R[C] Q and R[D] Q and S

Question 23.

A charged particle of unit mass and unit charge moves with velocity in a magnetic field of .

Choose the correct alternative(s).

[A] The path of the particle may be

[B] The path of the particle may be

[C] The path of the particle may be

[D] The time period of the particle will be 3.14s

Question 24.A tunnel is dug along a chord of the earth at a perpendicular distance R/2 from the earths centre. The wall of the tunnel may be assumedto be frictionless. A particle is released from one end of the tunnel. The pressing force by the particle on the wall and the acceleration ofthe particle varies with x (distance of the particle from the centre of the earth) according to :

[A]


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[B]

[C]

[D]

Question 25.A student performed the experiment to measure the focal length of convex (converging) lens by lens displacement method.(First anapproximate estimate of the focal length was obtained by distant object method in which a distant object was focused on the screen usingthe lens and the distance between lens and screen noted as 'f', the focal length of the lens). The distance between the object and screenis adjusted to be a value 'l '. Now the lens, was moved from the object to the screen and clear images are obtained for two positions of thelens, the first position L1, which is closer to object and 2nd position L2 which is closer to screen. The distance between the two positioni.e. (say). Let the focal length obtained be

[A] The values of used are > 4f[B] The image for position L1 of lens is diminished and that for position L2 of lens is magnified[C] As l is increased (for more number of trials), 'd ' also increases[D]

Question 26.One end of an ideal spring is fixed at point O and other end is attached to a small disc of mass m which is given an initial velocity v0

perpendicular to its length on a smooth horizontal surface. If the maximum elongation of the spring is then (l0 = natural length, k =

stiffness of the spring)

[A] Velocity at maximum elongation is

[B] Velocity at maximum elongation is

[C]


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[D]

Question 27.

A thin conducting rod AB is introduced in between the two charges as shown in figure. For this situation mark the

correct statement(s) :

[A] The total force experienced by q1 is vector sum of electric force due to and due to induced charges on rod.

[B] The end A will become negatively charged[C] The total magnitude of force acting on will be greater than as compared to the case without rod

[D] The total magnitude of force acting on will be greater than as compared to the case without rod

Question 28.A capacitor of capacitance C with upper plate M and lower plate N is connected to two parallel, horizontal rails of good conductor. Ametallic rod PQ is acted upon by a constant horizontal force F, so that the rod can slide smoothly on the rails. A uniform vertical magneticfield acts into the plane of the rails. During the motion of the rod,

[A] The charge on plate M is positive and the charge value keep on increasing[B] The charge on plate M is positive and the charge value remains constant[C] The charge on plate N is negative and the charge value keep on increasing[D] The current flowing through the rod remains constant

Question 29.A slab of transparent materials is made as shown in the figure. Monochromatic parallel beams of light are normally incident on the slabs.The thickness of C is twice the thickness of B. The number of waves in A = the number of waves in the combination of B and C. Therefractive index of material A is and that of C is .

[A] The refractive index of B is 1.6[B] The frequency of light in B is two times the frequency of light in C[C] The refractive index of B is 1.7[D] The frequency of light in B is the same as the frequency of light in C

Question 30.


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One end of a long cylindrical bar is kept at and the other end is maintained at . In the steady state the graph oftemperature of bar against distance from hot end is shown here. From the graph which of the following statements can be concludedcorrect?

[A] The quantity of heat entering the hot end per second is equal to that leaving the other end per second[B] The quantity of heat entering the hot end per second is greater than that reaching the other end per second[C] No heat is absorbed by any part of the bar[D] Heat is lost from the curved surface of the bar

Question 31.A vertical capillary with inner diameter 0.50mm is submerged into water so that the length of its part protruding over the water surface in25mm. The radius of curvature of the meniscus is . Find x to nearest integer. (Surface tension of water

)

Question 32.In the circuit shown in the adjacent diagram initially switch K1 is closed and switch K2 is open. After long time, K2 is also closed. The

current through the cell of emf E immediately after K2 is closed is . Find x.

Question 33.A uniform rod is rotating about one of its end with a constant angular velocity in gravity free space. The radio strain produced in two

halves is . Then find the value of .

Question 34.In the figure shown a block B of mass m can slide on a fixed horizontal smooth plane. A solid sphere A of radius r of the same mass rolls

without sliding on the block B. The angular acceleration of the sphere is , find the value of 'n '.

Question 35.The reading of a spring balance when a block is suspended from it in air is 60N. This reading is changed to 40 N when the block is


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submerged in water. Find the specific gravity of the block.

Question 36.Uniform rod mass (2m), length L, is lying on a smooth horizontal surface. Two insect of mass m each moving horizontally andperpendicular to rod hits the rod and stick it. After hitting the rod, insect starts walking along the rod away from center with constant

speed v, relative to rod. The total angle rotated by the rod, till the insect reaches the ends of rod is . The value of x is

_______.

Question 37.A lift is moving up with a constant retardation of 2 m/s2. When its upward velocity is 5m/s, a boy in the lift tosses a coin, imparting it anupward velocity of 3 m/s, w.r.t. himself. His fingers at the moment of toss are midway between the floor and ceiling, whose total height is2m. Displacement of coin when its hits the ground is x metre (in earth frame). The value of x is ________. (g = 10 m/s2)

Question 38.

At a distance of 20 m from a point source, the loudness is 30 dB. After a minimum distance of meter the sound is

inaudible. The value of x is ________.

Question 39.Block A slides down the wedge of same mass. All surfaces are smooth. The angle of inclination of wedge is with horizontal. Matchthe columns.

Column 1 Column 2

A : Relative acceleration of block 'A' w.r.t. wedge 1 :

B : Absolute acceleration of block A 2 : Zero

C : Acceleration of centre of mass of block and wedge inhorizontal direction 3 :

D : Acceleration of centre of mass of system 4 :


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Question 40.Refractive index of lenses is 3/2. Then the final position of the image from the pole is :

Column 1 Column 2

A : 1 : 40/7 cm, left to P

B : 2 : 40/9 cm, right to P

C : 3 : 40/3 cm, right to P

D : 4 : 40 cm, left to P

5 : 20/3 cm, left to P

Question 41.

If be independent events such that and probability that none of the

events occurs in , then :

[A] is of the form

[B]

[C] has 32 divisors

[D] has 502 zeros at the end


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Question 42.

If graph of is :

Then which of the following can be true for

[A] point of inflection at x = 1 and x = 2[B] concave down in

[C] point of local maxima at x = 3[D] decreasing in interval

Question 43.The equation whose roots are nth power of the roots of the equation, , is given by:

[A]

[B]

[C]

[D]

Question 44.

At the point on the graph of , a normal is drawn to intersect the yaxis at point (0, b) and if

, then :

[A] I = 0 if

[B] if

[C] I = 2 if n > 2

[D] if n = 2

Question 45.

If has real roots and , then :

[A]

[B]

[C] For

[D] For

Question 46.Taking y as the dependent and x as the independent variable, which of the following ordinary differential equations are not linear ?


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[A]

[B]

[C]

[D]

Question 47.

Let has both the roots equal, then :

[A] are in AP

[B]

[C] pq, rq, rp, are in AP

[D] are in A.P.

Question 48.

A plane which is perpendicular to two planes and and passes through , then :

[A] Distance of the plane from the point (1, 2, 2) is

[B] Distance of the plane from the point (1, 2, 2) is [C] Image of the point (1, 2, 2) about the plane is (3, 2, 2)[D] Foot of the perpendicular of (1, 2, 2) on the plane is (1, 0, 2)

Question 49.

is equal to :

[A]

[B]

[C]

[D]

Question 50.Which of the following is(are) true ?

[A] No. of solution of the equation is one

[B] Solution set of the equation


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[C] is equal to

[D] is equal to

Question 51.

If then minimum value of is __________ .

Question 52.

If curve C be the image of about the line and be length of the intercept of made by curve

C, then is ________ .

Question 53.

Let ({.} denotes fractional part), then remainder obtained on dividing y + y2 + y3 by 31 is

__________.

Question 54.For a unique value of , the system of equations given by x + y + z = 6, x + 2y + 3z = 14, has

infinitely many solutions then is __________.

Question 55.Three distinct nonzero real numbers form an A.P. and squares of these numbers taken in same order form a G.P., if possible commonratio of G.P. are then n is ___________.

Question 56.

The numbers are first three terms of an A.P. then sum of digits of its fifth term is ____.

Question 57.

The value of is then P is __________.

Question 58.

If has at least one real root, the least integer

just greater than the maximum value of a is ______________.


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Question 59.MATCH THE COLUMN :

Column 1 Column 2

A : , n is odd integer ,

cannot satisfy

1 :

B :, where [.]

denotes greatest integer less than or equal to x, thenf(x) cannot satisfy

2 :

C : , then f(x) cannot

satisfy

3 :

D : cannot satisfy 4 : Periodic function definition

5 :

Question 60.MATCH THE COLUMN :

Column 1 Column 2

A :

If

then

is less than

1 : 2

B :If , denotes the greatest integer

function), and , then the range of f (x) contains2 : 3

C :If , then h (x) = 0 for x = ____

(where [.] denotes greatest integer function)

3 : 1

D :

If the circle cuts each of

the circles ,

and

at the extremities of their

diameter, then is greater than

4 : 0

5 : 1

adv 5 paper 1

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