Vmc Advance 2 Paper 1

7/7/2015 Question Revision

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Question 1.Which one of the following statements is CORRECT ?

[A] is thermally less stable than [B] The carbonates of magnesium and calcium decompose below their melting point[C] The bicarbonates of magnesium and calcium are stable crystalline substances[D] Anhydrous magnesium chloride cannot be obtained by heating the hydrated magnesium chloride

Question 2.One mole of an ideal monoatomic gas initially at a temperature , pressure and volume in a thermally insulated cylinderclosed at one end fitted with a movable piston at the other end is suddenly compressed by placing a weight on the piston. The gaspressure is raised to . Which of the following is(are) INCORRECT ?

[A] Rise in temperature

[B] Change in volume

[C]

[D]

Question 3.Which of the following species is(are) paramagnetic ?

[A][B] NO[C]

[D]

Question 4.In which of the following reactions, the central atom suffers a change in hybridization ?

[A]

[B]

[C]

[D]

Question 5.Which of the following species will have same numbers of hybridised orbitals?

[A] PCl3[B] SO3

[C][D] CO2

Question 6.Consider the following electronic configurations :



Which of the following statements is(are) INCORRECT ?

[A] (I) violates Aufbau principle as well as Hund's rule[B] Both (I) and (II) violate Aufbau principle[C] Both (I) and (II) violate Pauli's exclusive principle[D] (II) violates Hund's rule

Question 7.

For the reaction, the forward reaction at constant temperature is favoured by :

[A] Introducing inert gas at constant pressure[B] Introducing inert gas at constant volume[C] Introducing at constant volume

[D] Introducing at constant volume

Question 8.In which of the following pairs of solutions, there will be no effect upon the pH on dilution ?

[A]

[B]

[C]

[D]

Question 9.

Dissociation of an indicator can be considered as . Colour of is P and is Q. Given that ratio

of conc. of HIn to ranges 10 to then which of the following statements are correct:

[A] Solution assumes Pcolour, when

[B] Solution assumes Qcolour, when

[C] Solution assumes Pcolour, when

[D] Solution assumes Qcolour, when

Question 10.During an adiabatic reversible expansion of an ideal gas :

[A] Internal energy of the system decreases[B] Temperature of the system decreases[C] The value of changes[D] Pressure increases

Question 11.How many of following are state function ?

Question 12.How many of the following have sp3 hybridization ?



Question 13.How many of following solutions will serve as a basic buffer ?

I.

II.

III.

IV.

V.

VI.

VII.

VIII.

IX.

Question 14.How many processes or reactions result in increase in entropy of system ?

I. Hitting a stone in a pool of waterII. At the instant when chemistry class is overIII. Burning a piece of coalIV. Making of besan ke pakodeV. Boiling of eggVI. Freezing of waterVII. Reversible expansion of an ideal gas in a sealed insulated flaskVIII. Stacking together 100 coins into a pile, all headsIX. Crystallisation

Question 15.How many moles of potassium iodide can be completely oxidised by 3/2 mol of potassium dichromate in acidic medium to give I2 ?

Question 16.56 gm of N2 and 8 gm of H2 are heated in a closed vessel. At equilibrium, 34 gm of NH3 are present. The equilibrium number of moles ofN2, H2 and NH3 are x, y and z respectively. The value of (xy) + z is ______.

Question 17.

How many of the following will have ?

Question 18.A mixture (20 ml) of CO and CO2 is mixed with V ml (excess) of oxygen and electrically sparked. The volume after explosion was (V +16) ml. What would be the residual volume if 10 ml of original mixture is exposed to alkali ?

Question 19.

If an ion of 25Mn has a magnetic moment of 3.873 B.M. Find the positive oxidation state of Mn in the ion. (Use: )



Question 20.Two buffers (X) and (Y) of pH 4.3 and 6.3 respectively are prepared from acid HA and salt NaA. Both buffers are 0.5 M in HA. Whatwould be the pH of the solution obtained by mixing equal volumes of the two buffers ?

Question 21.A uniform rod of mass m and length l is free to rotate about a fixed horizontal axis passing through point O. A small ball of mass m movinghorizontally with velocity strikes the rod at depth 'y' from O as shown in figure if angular velocity of rod and velocity of ball just aftercollision, are and v respectively then which of the following statements are wrong

[A] If then in case of elastic collision,

[B] If then in case of elastic collision, momentum of ball rod system remains conserved

[C] If momentum of ball + rod system remains conserved then [D] Ball can not rebound back whatever is the value of y

Question 22.A 0.1 kg block is pressed against a horizontal spring fixed at one end to compress the spring through 5cm. The spring constant is 100N/m. The ground is 2m below the spring. Which of the following is/are correct ? g = 10 m/s2

[A] When block leaves contact with spring its kinetic energy is .

[B] The initial horizontal velocity of the block is

[C] The block will reach the ground in see

[D] The block will hit the ground at a horizontal distance of 1m from the free end of the spring.

Question 23.A gas is contained in a metallic cylinder fitted with a piston. The piston is suddenly moved in to compress the gas and is maintained at thisposition. As time passes the pressure and temperature of the gas in the cylinder :

[A] Pressure increases[B] Pressure decreases[C] Temperature increases[D] Temperature decreases



Question 24.A thin square plate of side and mass m is joined with a semicircular arc of radius and same mass such that the plane of plateis perpendicular to plane of the ring and axis of ring is parallel to AB which passes through midpoint of two opposite sides as shown infigure. are the moment of inertia about the axis shown : (I1 axis is perpendicular to plane of plate and passing through centre ofarc.)

[A]

[B]

[C]

[D]

Question 25.A uniform rod of mass m is kept vertical on a smooth horizontal floor. The rod is disturbed from equilibrium position and it falls. When therod makes an angle with the vertical :

[A] Velocity of centre of mass of rod is less than

[B] Acceleration of centre of mass is constant[C] Normal reaction from floor is less than mg[D] All of the above

Question 26.A particle is thrown with a horizontal velocity from the top of a tower in a uniform gravitational field at Slope (m) of trajectory ofthe particle with horizontal and its kinetic energy vary according to curves. Here, x is horizontal displacement at time t.

[A]

[B]



[C]

[D]

Question 27.A liquid flows steadily through a horizontal tube. The velocities of the liquid in the two sections which have areas of cross section

and are respectively. The difference in the levels of liquid in the two vertical tubes is h :

[A] The volume of liquid flowing through the tube in unit time is

[B]

[C][D] The energy per unit mass of liquid is the same in both the sections of the tube

Question 28.A solid sphere of mass m is suspended through a string in a liquid as shown. The string has some tension. Magnitudes of net force dueto liquid on upper hemisphere and that on lower hemisphere are respectively. Which of the following is/are true?

[A] Density of material of the sphere is greater then density of liquid[B] Difference of is independent of atmospheric pressure

[C]

[D]

Question 29.Three rods having equal cross section area are connected end to end and maintained between constant temperature as shown in figure.Their coefficient of thermal conductivities . Which of the following are correct for steady state : (x is distancefrom left end of the combined rod system)



[A]

[B]

[C]

[D]

Question 30.In the arrangement shown in figure, gas is thermally insulated. An ideal gas is filled in the cylinder having pressure (> atmospheric

pressure ). The spring of force constant K is initially in its natural length. The piston of mass m and area S is frictionless. In

equilibrium, the piston rises up by distance , then :

[A] Final pressure of the gas is



[B]Work done by the gas is

[C] Decrease in internal energy of the gas is

[D] All of the above

Question 31.A thin uniform rod of mass 2 kg and length 4m is placed on a smooth horizontal table. Two particles of masses 2 kg and 1 kg eachtravelling with speed 10 m/s in horizontal direction perpendicular to length of rod strike the rod simultaneously and stick to the ends of the

rod as shown in figure. Then velocity of centre of rod immediately after collision is . Then value of a is ________.

Question 32.

A small body is projected with a horizontal velocity of on a rough horizontal surface. The coefficient of friction

between the surface changes with time (t in s) as the body moves along the surface.The velocity at the end of will be ________ (m/s) g = 10m/s2

Question 33.

A particle having position coordinates (3m, 7m) is moving with constant velocity and another particle having

position coordinate (6m, 3m) at the same time is moving with constant velocity . Then the time after at which

both particles have minimum distance between them is . Then value of 'a' is ________.

Question 34.A body is projected with velocity u at an angle of projection with the horizontal the direction of velocity of the body makes angle 30o

with the horizontal at t = 2s and then after 1s it reaches the maximum height. The angle of projection is where n is : g = 10 m/s

Question 35.A monoatomic gas at pressure P is adiabatically compressed so that its density becomes four times. The final pressure of the gas



becomes its initial pressure where n is _______.

Question 36.Net heat energy absorbed by the system in going through a cyclic process as shown in figure is (the VP curve is a circle) Jouleswhere n is _________.

Question 37.

Two moles of a diatomic gas undergo a process = constant. The heat absorbed by the gas when its temperature increases

by 1oC is nR where n is (R is universal gas constant).

Question 38.The tap in the garden was closed in appropriately resulting in the water flowing freely out of it which forms a downward narrowing beam.The beam of water has a circular crosssection, the diameter of the circle is 6 mm at one point and 3 cm below it is only 3 mm as shownin figure. If the rate of water wasted is ml/minute then find the value of x. (Neglect the effect of viscosity and surface

tension of the flowing water)

Question 39.A cubical container with side 2m has a small hole with a cap at point C as shown. The water level is upto point D. (BC = 0.5 m and BD =1.5 m). If container is given an acceleration of towards right direction and the hole is opened simultaneously. The amount of

water that will spill out of the container is litre. Find the value of .

Question 40.


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A thin ring of radius R = 2m made of material of density and Young modulus lies on a

smooth horizontal table. If the ring is rotated about its centre in its own plane with angular velocity rad/s. Calculate the small

change in radius. (In multiple of )

Question 41.If A and B are the sets of Domain and Range of function :

, then : (where denotes fractional part of x)

(where R represents the set of real numbers and I represents set of integers)

[A]

[B]

[C]

[D]

Question 42.

A circle S passes through the point (0, 1) and is orthogonal to the circles and . Then,

[A] Radius of S is 8[B] Radius of S is 7[C] Centre of S is

[D] Centre of S is

Question 43.A is the point (1, 1) and any point P on gives the area of units. If AB is parallel to the given line, thencoordinates of B can be :

[A]

[B]

[C][D] (7, 11)

Question 44.

The coefficient of x50 in the expansion of is also equal to :

[A] Number of ways in which 50 identical books can be distributed in 100 students, if each student can get atmost one book[B] Number of ways in which 100 different white balls and 50 identical red balls can be arranged in a circle, if no two red balls are

together

[C]

[D] None of these

Question 45.

If has the value equal to ; then the possible value(s) of x + y can

be :



[A] 112[B] 114[C] 196[D] 198

Question 46.If and , then which of the following is(are) true?

(where )

[A]

[B]

[C]

[D]

Question 47.

and are two complex numbers such that and . If

and , then :

[A]

[B]

[C]

[D]

Question 48.Which of the following statement(s) is(are) correct ?

[A] Sum of the reciprocals of all the n harmonic means inserted between a and b is equal to n times the harmonic mean between twogiven numbers a and b

[B] Sum of the cubes of first n natural numbers is equal to square of the sum of the first n natural numbers

[C] If a, A1, A2, A3, . . . . , A2n, b are in A.P. then

[D]If the first term of the geometric progression is unity, then the value of the common ratio of the

progression such that is minimum equals 2/5

Question 49.The number of ways in which we can choose 2 distinct integers from 1 to 100 such that the difference between them is at most 10 is :

[A]

[B]

[C][D] None of these



Question 50.

If two real roots, of equation (where q is nonzero real number) are reciprocal of each other, then p can be :

[A] 1[B] 3[C] 5[D] 7

Question 51.

Let two parallel lines with positive slope are tangent to the circle . If is also

tangent to the circle and equation of is where

, then the value of is _________.

Question 52.

If be the roots of and be a complex root of unity, and the value of

is then the least positive value of b is __________.

Question 53.The equation of a line through the mid points of the sides AB and AD of rhombus ABCD, whose one diagonal is

and one vertex is , is . Find the absolute value of where are integers

expressed in lowest form.

Question 54.A firm of Charter Accountants in Bombay has to send 10 clerks to 5 different companies, two clerks in each. Two of the companies are inBombay and the others outside. Two of the clerks prefer to work in Bombay while three others prefer to work outside. If number of waysin which assignment be made if the preferences are to be satisfied is abcd then is __________. (where abcdrepresents 4 digit number)

Question 55.

The infinite geometric series , where has a finite sum then, x cannot be equal to

___________.

Question 56.

If the 6th term in the expansion of is 5600, then the value of is __________.

Question 57.

If coefficient of x8 in is , then is equal to



__________.

Question 58.

If and , then the value of is ________. (Base of log is 10)

Question 59.

Let and , then is _________.

Question 60.

Number of integral values of x satisfying the inequality is ___________.

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Vmc Advance 2 Paper 1