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Question 1.

Which of the following pairs have the same number of atoms ?

[A] 16 g of and 4 g of

[B] 16 g of and 44 g of

[C] 28 g of C(s) and 23 g of Na(s)[D] 12 g C(s) and 23 g of Na(s)

Question 2.

Which of the following options does not represent ground state electronic configuration of an atom ?

[A]

[B]

[C]

[D]

Question 3.

Which of the following is responsible to rule out the existence of definite paths or trajectories of electrons?

[A] Pauli's exclusion principle.[B] Heisenberg's uncertainly principle[C] Hund's rule of maximum multiplicity[D] Aufbau principle

Question 4.

The statement that is not correct for periodic classification of elements is :

[A] The properties of elements are periodic function of their atomic numbers[B] Non metallic elements are less in number than metallic elements[C] For transition elements, the 3d-orbitals are filled with electrons after 3p-orbitals and before 4s-orbitals[D] The first ionisation enthalpies of elements generally increas e with increas e in atomic number as we go along a period

Question 5.

Which of the following statement is incorrect ?

[A] Helium has the highest first ionisation enthalpy in the periodic table[B] Chlorine has less negative electron gain enthalpy than fluorine[C] Mercury and bromine are liquids at room temperature[D] In any period, atomic radius of alkali metal is the highest

Question 6.

Statement 1 : Boron has a smaller first ionisation enthalpy than beryllium.

Statement 2 : Size of beryllium atom is smaller than boron atom

[A] Statement 1 and Statement 2 both are correct s tatements but Statement 2 is not correct explanation for Statement 1[B] Statement 1 is correct statement but Statement 2 is wrong statement[C] Statement 1 and Statement 2 both are correct s tatements and reason is cor rect explanation for Statement 1[D] Statement 1 and Statement 2 both are wrong statements

Question 7.

A gaseous hydroc arbon, X, was burnt in an ex cess of ox ygen. A 0.112 dm3sample of X, measured at STP produced 0.88 g of carbondioxide. How many carbon atoms are there in one molecule of X ?

[A] 1[B] 2[C] 3[D] 4

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Question 8.

Ammonia ( NH3) is a highly soluble gas in water and gives an alkaline solution of NH 4OH. For titrations involving aqueous ammonia, it is

assumed that NH4OH dissociates to 100% extent. What volume (at STP) of gaseous ammonia will be required to be passed into 100 ml

of 0.5 M H2SO4solution to bring down its strength to 0.25 M ?

[A] 0.560 L[B] 1.120 L[C] 1.680 L[D] 2.240 L

Question 9.

The most important application of stoichiometric analysis is to determine the percentage composition of various components in a mixture.Two types of experiments are usually employed: Analysis in dry state (Gravimetric) and analysis in aqueous medium (Volumetric). Onthis basis, read the following situation and answer the questions followed.

A dry mixture is found to contain 42% NaHCO3, 25% CaCO3and rest CaCl2.

If 1.0 gm of above mixture is strongly heated, the volume of residual gas(es) collected at end of heating at STP condition is :

[A] 224 mL[B] 112 mL[C] 168 mL[D] None of these

Question 10.

The most important application of stoichiometric analysis is to determine the percentage composition of various components in a mixture.Two types of experiments are usually employed: Analysis in dry state (Gravimetric) and analysis in aqueous medium (Volumetric). Onthis basis, read the following situation and answer the questions followed.

A dry mixture is found to contain 42% NaHCO3, 25% CaCO3and rest CaCl2.

If 2.0 gm of above mixture is dissolved in water and titrated against 0.25 M sulphuric acid solution, the volume of acid consumed will be :

[A] 80 mL[B] 30 mL

[C] 40 mL[D] 60 mL

Question 11.

The purity of H2O2in a given sample is 85 %. Calculate the weight of impure sample of H2O2which requires 10 mL of M/5 KMnO4solution in a titration in acidic medium ?

[A] 2 g[B] 0.2 g[C] 0.17 g[D] 0.15 g

Question 12.Photoelectric emission is observed from a metallic surface for frequencies, and of incident radiations . If the

maximum kinetic energy of photoelectrons in the two cases are in the ratio of 1 : 2, then threshold frequency is given by:

[A]

[B]

[C]

[D]

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Question 13.

Statement 1 : The kinetic energy of photoelectrons increases with increase in frequency of incident radiation once incident frequency isgreater then a threshold value.Statement 2 : The number of photoelectron ejected increases with increase in intensity of light once incident frequency is greater thena threshold value

[A] If Statement-1 is True, Statement-2 is True Statement-2 is a correct explanation for Statement-1[B] If Statement-1 is True, Statement-2 is True Statement-2 is NOT a correc t explanation for Statement-1[C] If Statement-1 is True, Statement-2 is False[D] If Statement-1 is False, Statement-2 is True

Question 14.

The potential energy of an electron in He+ ion in the second excited state is :

[A] -27.2 eV[B] - 13.6 eV[C] - 12.08 eV[D] - 6.04 eV

Question 15.

In Rutherford's -particle sc attering experiment, most of -particle pass through gold foil because :

[A] Gold foil contains large number of holes[B] Atoms contains very small space as very dense[C] Atomic center is positively charged

[D] Most of space in atoms is empty

Question 16.

100 mL of X molar H2O2gives 3 L of O2gas under the condition when 1 mol occupies 24 L. The value of X is :

[A] 2.5[B] 1.0[C] 0.5[D] 0.25

Question 17.

The number of photons collected in 1 min from a 60 W source of monochromatic light of wavelength 663 nm is : (

)

[A]

[B]

[C]

[D]

Question 18.

If velocity of an electron in 1st orbit of H atom is V, what will be the velocity in 3rd orbit of Li 2+?

[A] V

[B]

[C] 3V[D] 9V

Question 19.

Br2when heated with NaOH in aqueous solution gives sodium bromide and sodium bromate. Find the number of moles of sodium

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bromide when 3 mole of Br2 is heated with NaOH ?

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

Question 20.

Which is not the disproportionation reaction?

[A]

[B]

[C]

[D]

Question 21.

The mass of KHC2O4(potassiumbioxalate) required to reduce 100 mL of 0.02 M KMnO4in acidic medium isxgand to neutralize 100 mL

of 0.05 M Ca(OH)2is y g, then :

[A] x = y

[B] 2x= y[C] x = 2y[D] None is correct

Question 22.

NH3 is oxidised to NO by O2(air) in basic medium. Find the number of moles of NH3oxidised by 1 mol of O2?

[A] 4[B] 1.2[C] 0.8[D] 7

Question 23.Which of the following is the smallest in size ?

[A]

[B]

[C]

[D]

Question 24.

The element having the electronic configuration is :

[A] A metal[B] A nonmetal[C] A noble gas[D] A metalloid

Question 25.

Which of the following sets of quantum numbers is correct for an electron in 4f-orbital?

[A]

[B]

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[C]

[D]

Question 26.

Energy levels A, B, C of a certain atom corr esponds to increasing values of energy, i.e. . If are

the wavelengths of radiations corresponding to the transitions C to B, B to A and C to A respectively, which of the following statements iscorrect?

[A]

[B]

[C]

[D]

Question 27.

The frequency of revolution of an electron in a circular Bohr orbit is :

[A] Directly proportional to the quantum number n[B] Invers ely proportional to the quantum number n

[C] Invers ely proportional to n3

[D] Directly proportional to n2

Question 28.

If the kinetic energy of a free electron is doubled, its de Broglie wavelength changes by the factor :

[A]

[B]

[C]

[D]

Question 29.

How many orbitals among the given group of orbitals contain only two radial nodes ?

1s, 2s, 2p, 3s, 3p, 3d, 4s, 4p, 4d, 4f, 5s, 5p, 5d, 5f, 5g

[A] 5[B] 4[C] 3[D] 2

Question 30.

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A hy drogen atom in ground state is irradiated with a wavelength, If we expect that whole of radiant energy is taken up by

the electron (is ground state), the energy of electron ejected out will be :

[A] 6.4 eV[B] 0 eV[C] 20.3 eV[D] 13.6 eV

Question 31.

A ball is dropped from the top of a building. The ball takes 0.5sto fall past the 3mlength of a window some distance from the top of the

building. If the velocities of the ball at the top and at the bottom of the window are and respec tively, then (Take

) :

[A]

[B]

[C]

[D]

Question 32.

A s tone is projected v ertically upwards at t= 0 seconds. The net displacement of stone is zero in time interval between t= 0 second to t=T seconds. Pick up the incorrect statement :

[A] From time seconds to sec onds, the average velocity is zero

[B] The change in velocity from time t= 0 to seconds is same as change in velocity from second to

second

[C] The distance travelled from t= 0 to second is larger than distance travelled from sec ond to

second

[D] The distance travelled from second to second is half the distance travelled from second to t= T

second

Question 33.

A point mov es in a straight line under the retardation av2where a is a constant and v is velocity. If the initial velocity is u, the distancecovered in 't'seconds is :

[A]

[B]

[C]

[D]

Question 34.

A particle P is projected fr om a point on the s urface of s mooth inclined plane in a direction perpendicular to plane. Simultaneously anotherparticle Q is released on the smooth inclined plane from the same position. P and Q collide on the inclined plane after t= 4 second. Thespeed of projection of P is :

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[A] 5 m/s

[B] 10 m/s[C] 15 m/s[D] 20 m/s

Question 35.

A s wimmer c ross es the r iver along the line mak ing an angle of with the direction of flow. Velocity of the river is 5 m/s. Swimmer

takes 6 seconds to cross the river of width 60 m. The velocity of the swimmer with respect to water will be :

[A] 10 m/s[B] 12 m/s

[C] m/s

[D] m/s

Question 36.

The acceleration versus time graph of a particle is shown in figure. The respective v-tgraph of the particle is :

[A]

[B]

[C]

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[D]

Question 37.A particle moves half the time of its journey with velocity u. The rest of the half time it moves with two velocities v1 and v2such that half

the distance it covers with v1 and the other half with v2. Find the net average velocity assume straight line motion.

[A]

[B]

[C]

[D]

Question 38.

A body starts moving in a c ircle of r adius 25mwith a speed of . This speed increases at a constant rate of every

second. The acceleration of the body after 2s is:

[A]

[B]

[C]

[D]

Question 39.

To a stationary man, rain appears to be falling at his back at an angle with the vertical. As he starts moving forward with a speed

of , he finds that the rain is falling vertically.

The speed of rain with respect to the stationary man is :

[A] 0.5

[B]

[C]

[D]

Question 40.

To a stationary man, rain appears to be falling at his back at an angle with the vertical. As he starts moving forward with a speed

of , he finds that the rain is falling vertically.

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The speed of rain with respect to the moving man is :

[A]

[B]

[C]

[D]

Question 41.

From a tower of height 40 m, two bodies are simultaneously projected horizontally in opposite directions, with velocities and

respectively :

The time taken for the velocity vectors of two bodies to become perpendicular to each other is :

[A] 0.1 s[B] 0.2 s[C] 0.4 s[D] 0.8 s

Question 42.

From a tower of height 40 m, two bodies are simultaneously projected horizontally in opposite directions, with velocities and

respectively :

The horizontal distance between two bodies, when their velocity are perpendicular to each other is :

[A] 1m[B] 0.5m[C] 2m

[D] 4m

Question 43.

From a tower of height 40 m, two bodies are simultaneously projected horizontally in opposite directions, with velocities and

respectively :

The time taken for the displacement vectors of two bodies to become perpendicular to each other is :

[A] 0.1 s[B] 0.2 s

[C] 0.8 s[D] 0.6 s

Question 44.

Mark the correct statement :

[A] The magnitude of the velocity of a particle is equal to its speed[B] The magnitude of average velocity in an interval is equal to its average speed in that interval[C] It is possible to have a situation in which the speed of a particle is always zero but the average speed is not zero[D] It is possible to have a situation in which the speed of the particle is never zero but the average speed in an interval is zero

Question 45.

The graph shows the position of a particle moving on thex-axis as a function of time.

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[A] The particle has come to rest 6 times[B] The maximum speed is at t= 6 s[C] The velocity remains positive for t= 0 to t= 6 s[D] The average velocity of the total period shown is negative

Question 46.

The motion of a body is given by where, v is the velocity ( in ) at a t ime t(in seconds).

The terminal speed of the body is :

[A]

[B]

[C]

[D]

Question 47.

The motion of a body is given by where, v is the velocity ( in ) at a t ime t(in seconds).

Time taken to reach half of terminal velocity if particle starts from rest at t= 0 :

[A]

[B]

[C]

[D]

Question 48.

A block of mas s 5 k g is placed ov er a r ough horizontal surfac e with coefficient of friction

There is a horizontal force of 13 N acting on it towards right and another horizontal force Facting on it towards left. Taking g= 10 m/s2,the range of Fover which block does not slip is :

[A]

[B]

[C] Any value less than 18 N[D] Any value above 18 N

Question 49.

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A ball of mass m is thrown at angle 37owith horizontal with a speed of 20 m/s without air resistance. When ball reaches at highest point,the wind starts blowing horizontally which imparts a constant horizontal acceleration 'a' to the ball in opposite direction as shown in figure.

(Take g= 10 m/s2)

If air does not blow then the time of flight is T and due to blowing of wind the time of flight become T 1 then:

[A] T1> T

[B] T1< T

[C] T1= T

[D] Depend upon 'a'

Question 50.

A ball of mass m is thrown at angle 37owith horizontal with a speed of 20 m/s without air resistance. When ball reaches at highest point,

the wind starts blowing horizontally which imparts a constant horizontal acceleration 'a' to the ball in opposite direction as shown in figure.(Take g= 10 m/s2)

Find the value of 'a' so that ball will fall exactly below the highest point of trajectory.

[A] 26.6 m/s2

[B] 10 m/s2

[C] 16.6 m/s2

[D] None of these

Question 51.

A ball of mass m is thrown at angle 37owith horizontal with a speed of 20 m/s without air resistance. When ball reaches at highest point,the wind starts blowing horizontally which imparts a constant horizontal acceleration 'a' to the ball in opposite direction as shown in figure.

(Take g= 10 m/s2)

In the previous question, if the speed of the ball at the time of hitting the ground is V then, choose the correct option.

[A] V > 20 m/s[B] V = 20 m/s[C] V < 20 m/s[D] Cannot be predicted

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Question 52.

Velocity of a particle moving in thex-yplane is given as . If the particle is at (2, 0) at t= 0, then the equation

of particle's trajectory is :

[A]

[B]

[C]

[D]

Question 53.

The acceleration of a particle which moves along the positivex-axis varies with its position as shown. If the velocity of the particle is 0.8m/satx= 0, the velocity of the particle atx= 1.4 is (in m/s)

[A] 1.6[B] 1.2[C] 1.4[D] None of these

Question 54.

At the same instant two boys throw balls A and B fr om the positions shown with a speed v0 and kv0 respectively, where k is a constant.

For what value of k, balls will collide?

Relevant data is available in figure.

[A]

[B]

[C]

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[D]

Question 55.

The v-s graph for a car in a race on a straight road is given. Identify the correct a-xgraph :

[A]

[B]

[C]

[D]

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Question 56.

A uniform cable has a mas s of 100 kgand is suspended between two fixed points A and B, at the same horizontal level. At the support

points the cable makes angles of as shown in figure. Choose the corr ect option. (g= 10 m/s2)

[A] The force exerted on each support is 1000 N

[B] The tension in the cable at its lowest point is 500 N[C] The force exerted on each support is 500N

[D] The tension in the cable at its lowest point is

Question 57.

A pers on s tanding on the edge of a fire escape s imultaneously launches two apples, one s traight up with a speed of 7 m/s and the otherstraight down at the same speed. How far apart are the two apples 2 seconds after they were thrown, assuming that neither has hit theground ?

[A] 14m[B] 20m[C] 28m[D] 56m

Question 58.

The velocity of a body moving in a straight line is given by (x is in meter). Find acceleration atx= 2m.

[A]

[B]

[C]

[D]

Question 59.

A body is projected at angle with the horizontal ground with kinetic energy 21 J. When the velocity makes an angle with

the horizontal, what is the kinetic energy (in J) of the body ?

[A] 6[B] 7[C] 9[D] 12

Question 60.

A particle starts from rest at t= 0 and starts moving on a circular path of radius with tangential acc eleration 6tm/s2where t is in

seconds. Calculate acceleration of the particle when it completes one revolution in ( m/s2)

[A]

[B]

[C]

[D]

Question 61.

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If for each , then :

[A]

[B]

[C]

[D]

Question 62.

Sum of all the real values ofxsatisfying the equation is :

[A] 25[B] 36[C] 171[D] 0

Question 63.

If , then is :

[A] Independent of

[B] Independent of

[C] Independent of both and

[D] Independent of none of them

Question 64.

The value of is :

[A] 1

[B]

[C]

[D]

Question 65.

A s olution (x, y) of the sy stem of equation and is given by :

[A]

[B]

[C]

[D]

Question 66.

The number of integral values of afor which the equation posses ses solution is :

[A] 2

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[B] 3[C] 4[D] 5

Question 67.

If and then where

[A] 32

[B] 16[C] 50[D] 64

Question 68.

The locus of the point of intersection of the lines and is :

[A]

[B]

[C]

[D] None of these

Question 69.

If the line passes through the point which divides the line segment joining the points (1, 1) and (2, 4) in the ratio 3 : 2, then k

equals :

[A] 6[B] 11/5[C] 29/5[D] 5

Question 70.

If f(x) be a cubic polynomial such that and , then the product of roots of equation

is equal to :

[A] 1[B] 5[C] 6[D] 36

Question 71.

The lines and are perpendicular to common line for :

[A] Exactly two values ofp[B] More than two values ofp[C] No value ofp[D] Exactly one value ofp

Question 72.

ABCD is a rectangle in the c lockwise direc tion. The coordinates of A are (1, 3) and C are (5, 1), vertices B and D lie on the line

, then the coordinates of D are :

[A] (2, 0)[B] (4, 4)[C] (0, 2)[D] (2, 4)

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Question 73.

The straight lines and form a triangle which is :

[A] Isosceles[B] Right angled[C] Equilateral[D] None of these

Question 74.

A s traight line L through the point is inclined at an angle to the line . If L also intersects thex-axis, then

the equation of L is :

[A]

[B]

[C]

[D]

Question 75.

Consider a pointA (1, 0), which undergoes following transformation successively :

I. Translation through a distance 4 units along the positive direction ofx-axis, say point B.II. Reflection about the line y=x - 1, say point C.III. Translation through a distance 1 unit along the negative direction ofx-axis, say point D.

IV. Rotation through an angle about the origin in anticlockwise direction, say point E.

What is the co-ordinates of the point Eat the final position?

[A]

[B]

[C]

[D]

Question 76.

The two sides of a rhombus OABC lying in the first quadrant are given by :

, where Ois origin

If the longer diagonal is of length 12, then the coordinates of the vertex Bis :

[A]

[B]

[C]

[D]

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Question 77.

If , then family of straight lines is concur rent at :

[A]

[B]

[C]

[D]

Question 78.

The foot of the perpendicular on the line drawn from the origin is C.

If the line cuts thex-axis and y-axis atAand Brespec tively, then is :

[A] 1 : 3[B] 3 : 1[C] 1 : 9[D] 9 : 1

Question 79.

If are the roots of the cubic equation , then equals to:

[A]

[B]

[C]

[D] None of these

Question 80.

If , then

[A]

[B]

[C]

[D] None of these

Question 81.

If , then number of solution in is :

[A] 2[B] 3[C] 8[D] 9

Question 82.

Let be a second degree polynomial having maximum value equal to 2.25 at . The sum of roots of

is equal to :

[A] 5[B] 4[C] 3[D] 2

Question 83.

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If the quadratic equation does not have Real roots and then :

[A]

[B]

[C]

[D]

Question 84.

If and than will have :

[A] Exactly one root between 0 and 1

[B] Both root between 0 and 1[C] No root between 0 and 1[D] None of these

Question 85.

Let be a quadratic expres sion and y= f (x) has the graph as shown in figure :

Which of the following is false?

[A]

[B]

[C]

[D]

Question 86.

Let be a quadratic expres sion and y= f (x) has the graph as shown in figure :

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Which of the following is true?

[A]

[B]

[C]

[D]

Question 87.

If , then is equal to :

[A]

[B]

[C]

[D]

Question 88.

The value of is equal to :

[A] 0[B] 1[C] 3

[D]

Question 89.

The expression can be written as :

[A]

[B]

[C]

[D]

Question 90.

If and , then is equal to :

[A]

[B]

[C]

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[D]