Advance 3 Paper 2

7/25/2019 Advance 3 Paper 2

1/14

9/9/2015 Question Revision

http://vidyamandir.com/questionRevi sion.do?actionName=displayQuestionList&testIds=8af1086c4f4535d8014f5555bc9c42c9&tName=2016%20JEE%20Adva...

Question 1.

The alkene that exhibits geometrical isomerism is :

[A] 2-methy1 propene[B] 2-butene[C] 2-methy1-2-butene[D] propene

Question 2.Which of the following statement is not correct regarding bonding molecular orbitals ?

[A] Bonding molecular orbitals poss ess less energy than the atomic orbitals from which they are formed[B] Bonding molecular orbitals have low electron density between the two nuclei[C] Electron in bonding molecular orbital contributes to the attraction between atoms[D] They are formed when the lobes of the combining atomic orbitals have the same phase

Question 3.

Which of the following statements about the elements, and compounds is true ?

[A] Solubility of the hydroxides in water increases with increasing atomic number[B] Thermal stability of the carbonates increas es with increasing atomic number[C] All given elements react with steam to give hydrogen

[D] Metal chlorides are all liquids at room temperature

Question 4.

Consider the following statements and choose the correct option(s) :

[A] Alkene is more reactive than alkyne for electrophilic addition reaction[B] Alkyne gives nucleophilic as well as electrophilic addition reaction[C] Alkyne is more reactive than alkene for nucleophilic addition reaction[D] None of these

Question 5.

Which of the following statements(s) is(are) correct ?

[A] The entropy in isolated sy stem with P-V work only, is always maximized at equilibrium[B] It is possible for the entropy of closed sy stem to decrease substantially in an irreversible process[C] Entropy can be created but not destroy ed

[D] is zero for reversible process in an isolated sys tem

Question 6.

Nodal planes of - bond(s) in are located in:

[A] All are in the molecular plane containing the

[B] Two in molecular plane and one in a plane perpendicular to molecular plane which contains

[C] One in molecular plane and two in plane perpendicular to molecular plane which contains

[D] Two in molecular plane and one in a plane perpendicular to molecular plane which bisects at right angle

Question 7.

Which of the following are optically active ?

[A]


2/14


http://vidyamandir.com/questionRevi sion.do?actionName=displayQuestionList&testIds=8af1086c4f4535d8014f5555bc9c42c9&tName=2016%20JEE%20Adva... 2

[B]

[C]

[D]

Question 8.

When is reacted with HBr then the product formed is A and when is treated withthen the product formed is C. Hence here :

[A]

[B]

[C]

[D]

Question 9.

The vapour pressure of two pure liquids A and B which form an ideal solution are 500 and 800 torr respectively at 300 K. A solution of Aand B, for which the mole fraction of A is 0.60, is contained in a cylinder closed by a piston on which the pressure can be varied. Thesolution is slowly vaporized at 300 K by decreasing the applied pressure.

The composition of vapour when first bubble formed is :

[A]

[B]

[C]

[D]

Question 10.

The vapour pressure of two pure liquids A and B which form an ideal solution are 500 and 800 torr respectively at 300 K. A solution of Aand B, for which the mole fraction of A is 0.60, is contained in a cylinder closed by a piston on which the pressure can be varied. Thesolution is slowly vaporized at 300 K by decreasing the applied pressure.


3/14



What is the composition of last droplet of liquid remaining in equilibrium with vapour ?

[A]

[B]

[C]

[D]

Question 11.

Molar conductivity is defined as conducting power of the ions produced by 1 mole of an electrolyte in a solution.

where is conductivity and C is molar concentration.

The molar conductivity of 0.4M solution of is at 298 K. A cell with electrodes that are 2.0 cm2in surface

area and 0.50 cm apart is filled with solution.

Conductance of solution is :

[A]

[B] 32 S[C] 0.032 S[D] None of these

Question 12.

Molar conductivity is defined as conducting power of the ions produced by 1 mole of an electrolyte in a solution.

where is conductivity and C is molar concentration.

The molar conductivity of 0.4M solution of is at 298 K. A cell with electrodes that are 2.0 cm2in surface

area and 0.50 cm apart is filled with solution.

How much current will flow when the potential difference between the electrodes is 5.0 V ?

[A] 156.25 A[B] 0.16 A[C] 160 A[D] None of these

Question 13.

5.6 litres of an unknown gas at NTP requires 12.5 calories to raise its temperature by at constant volume. Then minimum

atomicity of the gas can be ____________.

(Hint : f= degree of freedom, CV, m= molar heat capacity)

Question 14.

Solubility product of . Kf for w ater is 2 K Kg . When PbCl2 is dissolved in water to make its

saturated solution at , find the decrease in freezing point (in Kelvin). [Express the answer in terms of ]


4/14



Question 15.

How many of the following can form chain isomers?

Question 16.

Positronium is a species consisting of an electron bound to a positron. If the radius of its 2 ndorbit is (where R0 is the radius of 1st

Bohr orbit of hydrogen). Then the value of x is _____.

Question 17.

The cell reaction : works at with = 1.2 V and at with the

= 1.70 V. Assuming to be constant in this temperature range, calculate in kJ /K. [Assume coulombs].

Question 18.

For strong electrolytes the values of molar conductivity at infinite dilution are given below :

Then equivalent conductance of Ba(OH)2at infinite dilution is .Value of x is______.

Question 19.

1000 ml of tap water containing Ca(HCO 3)2was titrated with N/50 HCl with methyl orange as indicator. If 300 ml of HCl were required,

then temporary hardness will be ppm. Find x.

Question 20.

A hy pothetical 'Xeton' at r est with mass equivalent to a He nucleus absorbs (n) photons of fr equency . Its de-Broglie wavelength

was later found to be (m = mass of proton), then the value of n is_____.

Question 21.

Four point masses are fastened to the corners of a frame of negligible mass lying in the xyplane as shown in figure. Let be the

angular speed of rotation. Then :


5/14



[A] Rotational kinetic energy ass ociated with a given angular speed depends on the axis of rotation

[B] Rotational kinetic energy about y-axis is independent of mand its value of

[C] Rotational kinetic energy about z-axis depends on mand its value is

[D] Rotational kinetic energy about z-axis independent of mand its value is

Question 22.

A ballAcollides elastically with another identical ball Binitially at rest andA is moving with velocity of 10 m/s at an angle of 60ofrom theline joining their centres. Select the correct alternatives:

[A] Velocity of ballAafter collision is 5 m/s

[B] Velocity of ball Bafter collision is m/s

[C] Velocity of ballAafter collision is 7.5 m/s

[D] Velocity of ball Bafter collision is 5 m/s

Question 23.

Current flows through uniform, square frames as shown. In which case is the magnetic field at the centre of the frame zero?

[A]

[B]

[C]

[D]

Question 24.

Earth has an electric field of magnitude 100Vm-1radically inwards in atmosphere around it. After what time interval must lightening occursuccessively, such that electrons present on surface of earth do not go beyond a distance of (20/91) km from surface of earth?(Assume when lightening occurs, electrons in atmosphere immediately fall back to surface of earth)

[A]

[B]

[C]

[D]


6/14



Question 25.

A boat experiences a r esistive acceleration = 2v m/s2due to the water. If the boat starts from rest, and its engine is providing a forward

push with an acceleration of 10m/s2, then :

[A]

[B]

[C] Maximum speed which the boat can achieve is 5m/s[D] Maximum speed will be after 10s

Question 26.

Three capacitors each having capacitance are connected with a battery of emf 30Vas shown in figure. When the switch S is

closed,

[A] The amount of charge flown through the battery is

[B] The heat generated in the circuit is 0.6 mJ[C] The energy supplied by the battery is 0.6 mJ

[D] The amount of charge flown through the switch S is

Question 27.

In the circuit as shown in the figure

[A]

[B]

[C]

[D]

Question 28.

Which of the following functions ofx and trepresents a progressive wave?

[A]


7/14



[B]

[C]

[D]

Question 29.

A s mall ball Bof mass mis suspended with light inelastic string of length L from a blockAof same mass mwhich can move on smoothhorizontal surfac e as shown in the figure. The ball is displaced by angle from equilibrium position and then released.

Maximum velocity of the block during subsequent motion of the system after the release of the ball is:

[A]

[B]

[C]

[D] Information are sufficient to decide

Question 30.

A s mall ball Bof mass mis suspended with light inelastic string of length L from a blockAof same mass mwhich can move on smooth

horizontal surfac e as shown in the figure. The ball is displaced by angle from equilibrium position and then released.

The displacement of centre of mass ofA+ Bsystem till the string becomes vertical is :[A] Zero

[B]

[C]

[D] None of these

Question 31.

The graphs in figure show that a quantity yvaries with displacement din a system undergoing simple harmonic motion.


8/14



Which graphs best represents the relationship obtained when y is :

The total energy of the system ?

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

Question 32.

The graphs in figure show that a quantity yvaries with displacement din a system undergoing simple harmonic motion.

Which graphs best represents the relationship obtained when y is :

The time ?

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

Question 33.

A c ylindrical v essel of height 500mm has an or ifice (s mall hole) at its bottom. The orifice is initially c losed and water is filled in it up toheight H. Now the top is completely sealed with a cap and the orifice at the bottom is opened. Some water comes out from the orifice andthe water level in the vessel becomes steady with height of water column being 200mm. Find the fall in height (in mm) of water level due

to opening of the orifice. (Take atmospheric pressure N/m2, density of water = 1000kg/m3 and g= 10m/s2. Neglect anyeffect of surface tension).


9/14



Question 34.

A particle of mas s m is subjected to an attractive central force of magnitude k /r2, k being a constant. If at the instant when the particle isat an extreme position in its closed orbit, at a distance a from the centre of force, its speed is (k/2ma), if the distance of other extremeposition is 'b'. Find a/b.

Question 35.

Two identical conducting rods, in first case connected independently to two vessels, one containing water at 100 oC and the other

containing ice at 0oC. In the second case, rods are joined end to end and are connected to the same vessels. If q1and q2 (in g/s) are the

rates of melting of ice in two cases, then find the ratio of q 1/q2.

Question 36.

A v essel c ontains 1 mole O2gas at a temperature T. An identical vessel contains one mole of He gas at a temperature 2T. Find the ratio

of their pressure (He to O2).

Question 37.

A s mall body of mas s m is connected to two horizontal springs of elastic constant k, natural length of the each spring is 3d/4. In theequilibrium position both springs are stretched to length d, as shown in figure.

What will be the ratio of time period of the motion ( Tb/Ta) if the body is displaced horizontally by a small distance where Tais the time

period when the particle oscillates along the line of springs and Tb is time period when the particle oscillates perpendicular to the plane of

the figure? (Neglect effects of gravity).

Question 38.

A uniform magnetic field exists in a space. A particle of mas s m and charge q is projected towards negative x-axis with speed

vfrom the a points (d, 0, 0). The maximum value v for which the particle does not hit the y - z plane is = . Find 'n'.

Question 39.

In the system shown in the figure there is not friction anywhere. The block C goes down by a distancex0= 10 cm with respect to wedge

D when system is released from rest. The velocity of A with respect to B will be (g = 10 m/s 2).


10/14


http://vidyamandir.com/questionRevi sion.do?actionName=displayQuestionList&testIds=8af1086c4f4535d8014f5555bc9c42c9&tName=2016%20JEE%20Adv... 10

Question 40.

A flexible c hain of length 2mand mass 1kg initially held in vertical position such that its lower end just touches a horizontal surface, isreleased from rest at time t = 0. Assuming that any part of chain which strikes the plane immediately comes to res t instantly and that theportion of chain lying on horizontal surface does not form any heap, the height of its centre of mass above surface at any instant

(before it completely comes to rest) is n/4, where 'n' is _________.

Question 41.

The function is :

[A] Continuous every where

[B] Discontinuous at the points

[C] Not differentiable at

[D] Not differentiable at

Question 42.

If the point lies inside the triangle formed by the lines and thex-axis, then the value of

can be equal to :

[A]

[B]

[C] 1.5[D] 0.5

Question 43.

The sequence is defined by and . Now, if [.] denotes the greatest integer function, then which of

the following options is(are) correct?

[A]

[B]

[C]

[D]


11/14



Question 44.

Let nbe a positive integer with and P(x), Q(x) be polynomials inx such that

then :

[A]

[B]

[C]

[D]

Question 45.

If and then : ( are positive integers and is

minimum)

[A] A= 80[B] B= 180[C] C= 199[D] C= 119

Question 46.

If and , then which of the following options is(are) corr ect?

[A]

[B]

[C]

[D]

Question 47.

Which of the following is(are) correct ?

[A] Domain of is null set

[B] Domain of is

[C] Domain of is [cos 1, 1]

[D] Domain of is

Question 48.

Consider the circles S1: and S2 : . Which of the following statements is(are) corr ect ?

[A] Number of common tangents to these circles is 2

[B] If the power of a variable point P w.r.t. these two circles is same, then P moves on the line

[C] Sum of the y-intercepts of both the circles is 6

[D] The circles S1and S2are orthogonal


12/14



Question 49.

LetA1, G1, H1denote the arithmetic, geometric and harmonic means, respectively, of two distinct positive numbers. For , let

and has arithmetic, geometric and harmonic means as respec tively.

Which of the following statements is(are) correct ?

[A] G1> G2> G3> .......

[B] G1= G2= G3= .....

[C] A1>A2>A3> .....[D] A1>A3>A5 > ...... andA2>A4>A6> .....

Question 50.

LetA1, G1, H1denote the arithmetic, geometric and harmonic means, respectively, of two distinct positive numbers. For , let

and has arithmetic, geometric and harmonic means as respec tively.

Which of the following is(are) not correct ?

[A] H1> H2> H3> ....

[B] H1< H2< H3< .....

[C] H1> H3> H5> ..... and H2< H4< H6< ....

[D] H1< H3< H5 < ...... and H2> H4> H6> .....

Question 51.

Two curves C1: and C2:

Satisfying and

[Hint : General solution to is where P(x) and Q(x) are functions

ofx].

Then the curves C1and C2are :

[A] circle[B] parabola[C] ellipse[D] straight line

Question 52.

Two curves C1: and C2:

Satisfying and

[Hint : General solution to is where P(x) and Q(x) are functions

ofx].

The area bounded by C1 and C2 (in sq. units) is :


13/14



[A]

[B]

[C]

[D]

Question 53.

If f(x) and g(x) are two polynomials such that polynomial is divisible by , then the value

of g(1) is ____________.

Question 54.

Let Tnwhere represent four distinct positive real numbers other than unity suc h that represents a

point on a circle whose centre lies on Y-axis, then the largest integerxsuch that is always greater thanxis __________.

Question 55.

If then is equal to _________.

Question 56.

Letx> 0, then the value of is equal to ____________.

Question 57.

If are the roots of for where and

, then k is equal to ___________.

Question 58.

Let f: defined by be strictly increasing on R, then the largest integral value of

'c' is __________.

Question 59.


14/14


The value of is ___________.

Question 60.

Let . Then, the number of elements in the range

of is ______. (where [ ] denotes the greatest integer function).

Documents

Advance 3 Paper 2